1
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Green JA, Brey D, Razgatlioglu LP, Ali B, Błasiak B, Burghardt I. Internal Conversion Cascade in a Carbon Nanobelt: A Multiconfigurational Quantum Dynamical Study. J Chem Theory Comput 2024. [PMID: 39259675 DOI: 10.1021/acs.jctc.4c00841] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/13/2024]
Abstract
Carbon nanobelts feature intriguing photophysical properties, due to their high symmetry and structural rigidity. Here, we consider a (6,6) armchair carbon nanobelt, i.e., the very first carbon nanobelt to be synthesized [Povie et al., Science 2017, 356, 172] and characterize the internal conversion dynamics using multiconfigurational quantum dynamics via the multi-layer multiconfiguration time-dependent Hartree (ML-MCTDH) method. A symmetry-adapted linear vibronic coupling Hamiltonian for 26 electronic states and 210 vibrational modes is employed. Electronic excitations are found to decay through a dense manifold of excited states, which interact via multiple conical intersections, while inducing minimal geometry change. It is shown that a rapid coherent decay, exhibiting a nonvanishing quantum flux on a time scale of less than 50 fs, transitions toward a slower, decoherent decay at longer times. As previously suggested in the literature, electronic relaxation is hindered by phonon bottlenecks such that a stepwise internal conversion cascade is observed. The computed vibronic absorption spectrum is shown to be in good agreement with the experimental spectrum.
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Affiliation(s)
- James A Green
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
| | - Dominik Brey
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
| | - Leyla P Razgatlioglu
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
| | - Badria Ali
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
| | - Bartosz Błasiak
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
| | - Irene Burghardt
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
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2
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Herrera Rodríguez LE, Sindhu A, Rueda Espinosa KJ, Kananenka AA. Cavity-Mediated Enhancement of the Energy Transfer in the Reduced Fenna-Matthews-Olson Complex. J Chem Theory Comput 2024; 20:7393-7403. [PMID: 39190922 DOI: 10.1021/acs.jctc.4c00626] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/29/2024]
Abstract
Strong light-matter interaction leads to the formation of hybrid polariton states and can alter the light-harvesting properties of natural photosynthetic systems without modifying their chemical structure. In the present study, we computationally investigate the effect of the resonant cavity on the efficiency and the rate of the population transfer in a quantum system coupled to the cavity and the dissipative environment. The parameters of the model system were chosen to represent the Fenna-Matthews-Olson natural light-harvesting complex reduced to the three essential sites. The dynamics of the total system was propagated using the hierarchical equations of motion. Our results show that the strong light-matter interaction can accelerate the population transfer process compared to the cavity-free case but at the cost of lowering the transfer efficiency. The transition to the strong coupling regime was found to coincide with the degeneracy of polariton eigenvalues. Our findings indicate the potential and the limit of tuning the energy transfer in already efficient natural light-harvesting systems.
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Affiliation(s)
- Luis E Herrera Rodríguez
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
| | - Aarti Sindhu
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
| | - Kennet J Rueda Espinosa
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
| | - Alexei A Kananenka
- Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, United States
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3
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Sheng Z, Jiang T, Li W, Shuai Z. TD-DMRG Study of Exciton Dynamics with both Thermal and Static Disorders for Fenna-Matthews-Olson Complex. J Chem Theory Comput 2024. [PMID: 39087905 DOI: 10.1021/acs.jctc.4c00493] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/02/2024]
Abstract
Photosynthesis is a fundamental process that converts solar energy into chemical energy. Understanding the microscopic mechanisms of energy transfer in photosynthetic systems is crucial for the development of novel optoelectronic materials. Simulating these processes poses significant challenges due to the intricate interactions between electrons and phonons, compounded by static disorder. In this work, we present a numerically nearly exact study using the time-dependent density matrix renormalization group (TD-DMRG) method to simulate the quantum dynamics of the Fenna-Matthews-Olson (FMO) complex considering an eight-site model with both thermal and static disorders. We employ the thermo-field dynamics formalism for temperature effects. We merge all electronic interactions into one large matrix product state (MPS) site, boosting accuracy efficiently without increasing complexity. Previous combined experimental and computational studies indicated that the static disorders range from 30 to 90 cm-1 for different FMO sites. We employ a Gaussian distribution and the auxiliary bosonic operator approach to consider the static disorder in our TD-DMRG algorithm. We investigate the impact of different initial excitation sites, temperatures, and degrees of static disorder on the exciton dynamics and temporal coherence. It is found that under the influence of the experimentally determined static disorder strength, the exciton population evolution shows a non-negligible difference at zero temperature, while it is hardly affected at room temperature.
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Affiliation(s)
- Zirui Sheng
- School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, P. R. China
| | - Tong Jiang
- MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry, Tsinghua University, 100084 Beijing, P. R. China
| | - Weitang Li
- School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, P. R. China
| | - Zhigang Shuai
- School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, P. R. China
- MOE Key Laboratory of Organic OptoElectronics and Molecular Engineering, Department of Chemistry, Tsinghua University, 100084 Beijing, P. R. China
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4
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Dutta R, Bagchi B. Memory effects in the efficiency control of energy transfer under incoherent light excitation in noisy environments. J Chem Phys 2024; 160:245101. [PMID: 38912634 DOI: 10.1063/5.0209909] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/24/2024] [Accepted: 06/06/2024] [Indexed: 06/25/2024] Open
Abstract
Fluctuations in energy gap and coupling constants between chromophores can play an important role in absorption and energy transfer across a collection of two-level systems. In photosynthesis, light-induced quantum coherence can affect the efficiency of energy transfer to the designated "trap" state. Theoretically, the interplay between fluctuations and coherence has been studied often, employing either a Markovian or a perturbative approximation. In this study, we depart from these approaches to incorporate memory effects by using Kubo's quantum stochastic Liouville equation. We introduce the effects of decay of the created excitation (to the ground state) on the desired propagation and trapping that provides a direction of flow of the excitation. In the presence of light-induced pumping, we establish a relation between the efficiency, the mean survival time, and the correlation decay time of the bath-induced fluctuations. A decrease in the steady-state coherence during the transition from the non-Markovian regime to the Markovian limit results in a decrease in efficiency. As in the well-known Haken-Strobl model, the ratio of the square of fluctuation strength to the rate plays a critical role in determining the mechanism of energy transfer and in shaping the characteristics of the efficiency profile. We recover a connection between the transfer flux and the imaginary part of coherences in both equilibrium and excited bath states, in both correlated and uncorrelated bath models. We uncover a non-monotonic dependence of efficiency on site energy heterogeneity for both correlated and uncorrelated bath models.
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Affiliation(s)
- Rajesh Dutta
- Department of Chemistry, Purdue University, West Lafayette, Indiana 47906, USA
| | - Biman Bagchi
- SSCU, Indian Institute of Science, Bangalore 560012, India
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5
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Sindhu A, Jain A. Electronic energy transfer in molecular wire: Coherences in the presence of anharmonicity. J Chem Phys 2024; 160:204117. [PMID: 38814012 DOI: 10.1063/5.0196606] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2024] [Accepted: 05/06/2024] [Indexed: 05/31/2024] Open
Abstract
Electronic energy transfer in molecular wires is usually theoretically investigated with a harmonic bath to model the environment. The present study is a continuation of our previous work [A. Sindhu and A. Jain, Chem. Phys. Chem. 23, e2022003 (2022)] on studying the dynamics of molecular wires using surface hopping simulations. We extend our study to a 7-site model Hamiltonian and investigate the effects of an anharmonic bath on coherent energy transfer in molecular wires. We show that oscillatory and coherent population dynamics remain intact even in the presence of the anharmonic bath and further highlight the multiple channels available for energy flow in molecular wires.
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Affiliation(s)
- Aarti Sindhu
- Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Amber Jain
- Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
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6
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Brey D, Burghardt I. Coherent Transient Localization Mechanism of Interchain Exciton Transport in Regioregular P3HT: A Quantum-Dynamical Study. J Phys Chem Lett 2024; 15:1836-1845. [PMID: 38334949 DOI: 10.1021/acs.jpclett.3c03290] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/10/2024]
Abstract
Transient localization has been proposed as a transport mechanism in organic materials, for both charge carriers and excitons. Here, we characterize a quantum coherent transient localization mechanism using full quantum simulations of an H-aggregated model system representative of regioregular poly(3-hexylthiophene) (rrP3HT). A Frenkel-Holstein Hamiltonian parametrized from first principles is considered, including local high-frequency modes and anharmonic, site-correlated interchain modes. Quantum-dynamical calculations are carried out using the Multi-Layer Multi-Configuration Time-Dependent Hartree (ML-MCTDH) method for a 13-site system with 195 vibrational modes, under periodic boundary conditions. It is shown that temporary localization of exciton polarons alternates with resonant transfer driven by interchain modes. While the transport process is mainly determined by exciton-polarons at the low-energy band edge, persistent coupling with the excitonic manifold is observed, giving rise to a nonadiabatic excitonic flux. This elementary transport mechanism remains preserved for limited static disorder and gives way to Anderson localization when the static disorder becomes dominant.
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Affiliation(s)
- Dominik Brey
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
| | - Irene Burghardt
- Institute of Physical and Theoretical Chemistry, Goethe University Frankfurt, Max-von-Laue-Str. 7, 60438 Frankfurt, Germany
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7
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Runeson JE, Fay TP, Manolopoulos DE. Exciton dynamics from the mapping approach to surface hopping: comparison with Förster and Redfield theories. Phys Chem Chem Phys 2024; 26:4929-4938. [PMID: 38265093 PMCID: PMC10849040 DOI: 10.1039/d3cp05926j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2023] [Accepted: 01/03/2024] [Indexed: 01/25/2024]
Abstract
We compare the recently introduced multi-state mapping approach to surface hopping (MASH) with the Förster and Redfield theories of excitation energy transfer. Whereas Förster theory relies on weak coupling between chromophores, and Redfield theory assumes the electronic excitations to be weakly coupled to fast chromophore vibrations, MASH is free from any perturbative or Markovian approximations. We illustrate this with an example application to the rate of energy transfer in a Frenkel-exciton dimer, showing that MASH interpolates correctly between the opposing regimes in which the Förster and Redfield results are reliable. We then compare the three methods for a realistic model of the Fenna-Matthews-Olson complex with a structured vibrational spectral density and static disorder in the excitation energies. In this case there are no exact results for comparison so we use MASH to assess the validity of Förster and Redfield theories. We find that Förster theory is the more accurate of the two on the picosecond timescale, as has been shown previously for a simpler model of this particular light-harvesting complex. We also explore various ways to sample the initial electronic state in MASH and find that they all give very similar results for exciton dynamics.
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Affiliation(s)
- Johan E Runeson
- Department of Chemistry, University of Oxford, Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford, OX1 3QZ, UK.
| | - Thomas P Fay
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - David E Manolopoulos
- Department of Chemistry, University of Oxford, Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford, OX1 3QZ, UK.
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8
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Dong JY, Kitahama Y, Fujita T, Adachi M, Shigeta Y, Ishizaki A, Tanaka S, Xiao TH, Goda K. Manipulation of photosynthetic energy transfer by vibrational strong coupling. J Chem Phys 2024; 160:045101. [PMID: 38284659 DOI: 10.1063/5.0183383] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/22/2023] [Accepted: 01/04/2024] [Indexed: 01/30/2024] Open
Abstract
Uncovering the mystery of efficient and directional energy transfer in photosynthetic organisms remains a critical challenge in quantum biology. Recent experimental evidence and quantum theory developments indicate the significance of quantum features of molecular vibrations in assisting photosynthetic energy transfer, which provides the possibility of manipulating the process by controlling molecular vibrations. Here, we propose and theoretically demonstrate efficient manipulation of photosynthetic energy transfer by using vibrational strong coupling between the vibrational state of a Fenna-Matthews-Olson (FMO) complex and the vacuum state of an optical cavity. Specifically, based on a full-quantum analytical model to describe the strong coupling effect between the optical cavity and molecular vibration, we realize efficient manipulation of energy transfer efficiency (from 58% to 92%) and energy transfer time (from 20 to 500 ps) in one branch of FMO complex by actively controlling the coupling strength and the quality factor of the optical cavity under both near-resonant and off-resonant conditions, respectively. Our work provides a practical scenario to manipulate photosynthetic energy transfer by externally interfering molecular vibrations via an optical cavity and a comprehensible conceptual framework for researching other similar systems.
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Affiliation(s)
- Jun-Yu Dong
- Department of Chemistry, School of Science, The University of Tokyo, Tokyo 113-0033, Japan
| | - Yasutaka Kitahama
- Department of Chemistry, School of Science, The University of Tokyo, Tokyo 113-0033, Japan
- LucasLand, Tokyo 101-0052, Japan
| | - Takatoshi Fujita
- Institute for Quantum Life Science, National Institutes for Quantum Science and Technology, Chiba 263-8555, Japan
| | - Motoyasu Adachi
- Institute for Quantum Life Science, National Institutes for Quantum Science and Technology, Chiba 263-8555, Japan
| | - Yasuteru Shigeta
- Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8577, Japan
| | - Akihito Ishizaki
- Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki 444-8585, Japan
| | - Shigenori Tanaka
- Department of Computational Science, Graduate School of System Informatics, Kobe University, Kobe 657-8501, Japan
| | - Ting-Hui Xiao
- Department of Chemistry, School of Science, The University of Tokyo, Tokyo 113-0033, Japan
- Institute for Quantum Life Science, National Institutes for Quantum Science and Technology, Chiba 263-8555, Japan
- Henan Key Laboratory of Diamond Optoelectronic Materials and Devices, School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450052, China
- Institute of Quantum Materials and Physics, Henan Academy of Sciences, Zhengzhou 450046, China
| | - Keisuke Goda
- Department of Chemistry, School of Science, The University of Tokyo, Tokyo 113-0033, Japan
- LucasLand, Tokyo 101-0052, Japan
- Institute for Quantum Life Science, National Institutes for Quantum Science and Technology, Chiba 263-8555, Japan
- Institute of Technological Sciences, Wuhan University, Hubei 430072, China
- Department of Bioengineering, University of California, Los Angeles, California 90095, USA
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9
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Zerah Harush E, Dubi Y. Signature of Quantum Coherence in the Exciton Energy Pathways of the LH2 Photosynthetic Complex. ACS OMEGA 2023; 8:38871-38878. [PMID: 37901547 PMCID: PMC10601065 DOI: 10.1021/acsomega.3c02676] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/19/2023] [Accepted: 06/15/2023] [Indexed: 10/31/2023]
Abstract
Unraveling the energy transfer pathways in photosynthetic complexes is an important step toward understanding their structure-function interplay. Here, we use an open quantum systems approach to investigate energy transfer within the LH2 photosynthetic apparatus and its dependence on environmental conditions. We find that energy transfer pathways strongly depend on the environment-induced dephasing time. A comparison between the computational results and experiments performed on similar systems demonstrates that quantum coherences are present in these systems under physiological conditions and have an important role in shaping the energy transfer pathways. Moreover, our calculations indicate that relatively simple spectroscopy experiments can be used to detect traces of quantum coherence. Finally, our results suggest that quantum coherence may play a role in photosynthesis, but not in enhancing the efficiency as was previously suggested.
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Affiliation(s)
- Elinor Zerah Harush
- Department of Chemistry and
Ilse Katz Center for Nanoscale Science and Technology, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
| | - Yonatan Dubi
- Department of Chemistry and
Ilse Katz Center for Nanoscale Science and Technology, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
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10
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Bose A, Walters PL. Impact of Spatial Inhomogeneity on Excitation Energy Transport in the Fenna-Matthews-Olson Complex. J Phys Chem B 2023; 127:7663-7673. [PMID: 37647510 DOI: 10.1021/acs.jpcb.3c03062] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
Abstract
The dynamics of the excitation energy transfer (EET) in photosynthetic complexes is an interesting question both from the perspective of fundamental understanding and the research in artificial photosynthesis. Over the past decade, very accurate spectral densities have been developed to capture spatial inhomogeneities in the Fenna-Matthews-Olson (FMO) complex. However, challenges persist in numerically simulating these systems, both in terms of parameterizing them and following their dynamics over long periods of time because of long non-Markovian memories. We investigate the dynamics of FMO with the exact treatment of various theoretical spectral densities using the new tensor network path integral-based methods, which are uniquely capable of addressing the difficulty of long memory length and incoherent Förster theory. It is also important to be able to analyze the pathway of EET flow, which can be difficult to identify given the non-trivial structure of connections between bacteriochlorophyll molecules in FMO. We use the recently introduced ideas of relating coherence to population derivatives to analyze the transport process and reveal some new routes of transport. The combination of exact and approximate methods sheds light on the role of coherences in affecting the fine details of the transport and promises to be a powerful toolbox for future exploration of other open systems with quantum transport.
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Affiliation(s)
- Amartya Bose
- Department of Chemical Sciences, Tata Institute of Fundamental Research, Mumbai 400005, India
| | - Peter L Walters
- Department of Chemistry, University of California, Berkeley, California 94720, United States
- Miller Institute for Basic Research in Science, University of California Berkeley, Berkeley, California 94720, United States
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11
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Bose A, Walters PL. Impact of Solvent on State-to-State Population Transport in Multistate Systems Using Coherences. J Chem Theory Comput 2023. [PMID: 37466459 DOI: 10.1021/acs.jctc.3c00200] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 07/20/2023]
Abstract
Understanding the pathways taken by a quantum particle during a transport process is an enormous challenge. There are broadly two different aspects of the problem that affect the route taken. First is obviously the couplings between the various sites, which translates into the intrinsic "strength" of a state-to-state channel. Apart from these inter-state couplings, the relative coupling strengths and timescales of the solvent modes form the second factor. This impact of the dissipative environment is significantly more difficult to analyze. Building on the recently derived relations between coherences and population derivatives, we present an analysis of the transport that allows us to account for both the effects in a rigorous manner. We demonstrate the richness hidden behind the transport even for a relatively simple system, a 4-site coarse-grained model of the Fenna-Matthews-Olson complex. The effect of the local dissipative media is highly nontrivial. We show that while the impact on the total site population may be small, there are noticeable changes to the pathway taken by the transport process. We also demonstrate how an analysis in a similar spirit can be done using the Förster approximation. The ability to untangle the dynamics at a greater granularity opens up possibilities in terms of design of novel systems with an eye toward quantum control.
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Affiliation(s)
- Amartya Bose
- Department of Chemical Sciences, Tata Institute of Fundamental Research, Mumbai 400005, India
| | - Peter L Walters
- Department of Chemistry and Biochemistry, George Mason University, Fairfax, Virginia 22030, United States
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12
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Joubert-Doriol L, Jung KA, Izmaylov AF, Brumer P. Quantum Kinetic Rates within the Nonequilibrium Steady State. J Chem Theory Comput 2023; 19:1130-1143. [PMID: 36728919 DOI: 10.1021/acs.jctc.2c00987] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
The nonequilibrium steady state (NESS) of a quantum network is central to a host of physical and biological scenarios. Examples include natural processes such as vision and photosynthesis as well as technical devices such as photocells, both activated by incoherent light (e.g., sunlight) and leading to quantum transport. Assessing time scales of the relevant chemical processes in the steady state is thus of utmost interest and is our goal in this paper. Here, a completely general approach to defining components of a quantum network in the NESS and obtaining rates of processes between these components is provided. Quantum effects are explicitly included throughout, both in (a) defining network components via projection operators and (b) determining the role of coherences in rate processes. As examples, the methodology is applied to model cases, two versions of the V-level system, and to the spin-boson model, wherein the roles of the environment and of internal system properties in determining the rates are examined. In addition, the role of Markovian vs non-Markovian contributions is quantified, exposing conditions under which NESS rates can be obtained by perturbing the nonequilibrium steady state.
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Affiliation(s)
- Loïc Joubert-Doriol
- Université Gustave Eiffel, Université Paris Est Creteil, CNRS, UMR 8208, MSME, F-77454 Marne-la-Vallée, France
| | - Kenneth A Jung
- Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario M5S 3H6, Canada
| | - Artur F Izmaylov
- Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario M5S 3H6, Canada
| | - Paul Brumer
- Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario M5S 3H6, Canada
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13
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Sindhu A, Jain A. Coherence and Efficient Energy Transfer in Molecular Wires: Insights from Surface Hopping Simulations. Chemphyschem 2022; 23:e202200392. [PMID: 35944188 DOI: 10.1002/cphc.202200392] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2022] [Revised: 08/09/2022] [Indexed: 01/04/2023]
Abstract
Understanding the dynamics of electronic energy transfer through a molecular wire is essential to understand the working of natural processes like photosynthesis. We investigate simpler 2 and 3-site model Hamiltonians in this work to understand the importance of coherence to efficient energy transfer. We compare the results of surface hopping simulation with that of numerically exact results and rate theories. Different parameters are analyzed, motivated by a photosynthetic molecular wire - the FMO complex. A comparison of results from different theories shows that coherence can play an important role towards efficient energy transfer for certain parameters. When these coherences are important, even small couplings (of the order of 5 cm-1 ) in the Hamiltonian can significantly affect rates. Surface hopping simulations capture all the results correctly qualitatively. Rate theories, on the other hand, can differ significantly from numerically exact results when coherences become important. The results of this work should provide design guidelines for efficient energy transfer in molecular wires.
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14
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Pouthier V. Two-exciton bound state quantum self-trapping in an extended star graph. J Chem Phys 2022; 156:155101. [DOI: 10.1063/5.0087200] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The attractive Bose-Hubbard model is applied for describing the quantum self-trapping in an extended star graph. In the strong coupling limit and when two excitons are created on the core of the star, the dynamics is dominated by pair states whose properties is governed by the branch number $N$. When $N=2$, the star reduces to a linear chain so that the energy does not self-localize. Conversely, when $N\geq3$, a restructuring of the eigenstates arises and a low-energy state occurs describing a pair localized on the core of the star. Preferentially excited, this localized state gives rise to a quantum self-trapping of the energy, a process that intensifies as $N$ increases.
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15
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Singh D, Hyeon C. Origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system. Phys Rev E 2021; 104:054115. [PMID: 34942793 DOI: 10.1103/physreve.104.054115] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2021] [Accepted: 11/02/2021] [Indexed: 11/07/2022]
Abstract
Thermodynamic uncertainty relations (TURs), originally discovered for classical systems, dictate the tradeoff between dissipation and fluctuations of irreversible current, specifying a minimal bound that constrains the two quantities. In a series of efforts to extend the relation to the one under more generalized conditions, it has been noticed that the bound is less tight in open quantum processes. To study the origin of the loose bounds, we consider an external field-driven transition dynamics of a two-level quantum system weakly coupled to the bosonic bath as a model of an open quantum system. The model makes it explicit that the imaginary part of quantum coherence, which contributes to dissipation to the environment, is responsible for loosening the TUR bound by suppressing the relative fluctuations in the irreversible current of transitions, whereas the real part of the coherence tightens it. Our study offers a better understanding of how quantum nature affects the TUR bound.
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16
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Cui X, Yan Y, Wei J. Role of Pigment-Protein Coupling in the Energy Transport Dynamics in the Fenna-Matthews-Olson Complex. J Phys Chem B 2021; 125:11884-11892. [PMID: 34669415 DOI: 10.1021/acs.jpcb.1c06844] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The role of pigment-protein coupling in the dynamics of photosynthetic energy transport in chromophoric complexes has not been fully understood. The excitation energy transfer in the photosynthetic system is tremendously efficient. In particular, we investigate the excitation energy transport in the Fenna-Matthews-Olson (FMO) complex. The exciton dynamics and excitation energy transfer (EET) depend on the interaction between the excited chromophores and their environment. Most theoretical models believe that all bacteriochlorophyll-a (BChla) sites are surrounded by the same local protein environment, which is contradicted by the structural analysis of the FMO complex. Based on different values of pigment-protein coupling for different sites, measured in the adiabatic limit, we have theoretically investigated the effect of the heterogeneous local protein environment on the EET process. By the realistic and site-dependent model of the system-bath couplings, the results show that this interaction may have a critical value for the coherent energy-transfer process. Furthermore, we verify that the two transport pathways are coherent and stable to the important parameter reorganization energy of environmental interactions. The quantum dynamical simulations show that the correlation fluctuation keeps the oscillation of the coherent excitation on a long timescale. In addition, due to the inhomogeneous pigment-protein coupling, different BChl sites have asymmetric excitation oscillation timescales.
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Affiliation(s)
- XueYan Cui
- Department of Physics & Beijing Key Laboratory of Optoelectronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China
| | - YiJing Yan
- Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - JianHua Wei
- Department of Physics & Beijing Key Laboratory of Optoelectronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, China
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17
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He X, Wu B, Gong Z, Liu J. Commutator Matrix in Phase Space Mapping Models for Nonadiabatic Quantum Dynamics. J Phys Chem A 2021; 125:6845-6863. [PMID: 34339600 DOI: 10.1021/acs.jpca.1c04429] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Abstract
We show that a novel, general phase space mapping Hamiltonian for nonadiabatic systems, which is reminiscent of the renowned Meyer-Miller mapping Hamiltonian, involves a commutator variable matrix rather than the conventional zero-point-energy parameter. In the exact mapping formulation on constraint space for phase space approaches for nonadiabatic dynamics, the general mapping Hamiltonian with commutator variables can be employed to generate approximate trajectory-based dynamics. Various benchmark model tests, which range from gas phase to condensed phase systems, suggest that the overall performance of the general mapping Hamiltonian is better than that of the conventional Meyer-Miller Hamiltonian.
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Affiliation(s)
- Xin He
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Baihua Wu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Zhihao Gong
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
| | - Jian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, China
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18
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Dutta R, Bagchi B. Excitation Energy Transfer Efficiency in Fluctuating Environments: Role of Quantum Coherence in the Presence of Memory Effects. J Phys Chem A 2021; 125:4695-4704. [PMID: 34047565 DOI: 10.1021/acs.jpca.0c10506] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Several recent studies have interrogated the role of quantum coherence in affecting the transfer efficiency of an optical excitation to the designated "trap" state where the energy can be used for subsequent reactions, as in photosynthesis. However, these studies invoke a Markovian approximation for the time correlation function describing the environment-induced stochastic fluctuations. Here, we employ Kubo's quantum stochastic Liouville equation (QSLE) to include memory effects. We extend the existing QSLE scheme to introduce decay of a newly created excitation due to radiative and nonradiative channels and also by desired trapping toward the targeted chromophore. We show that the theoretical formalism based on the QSLE correctly reproduces the rate equation description in the Markovian limit, with the rate constants determined by an appropriate quantum limiting procedure. We find that under certain conditions, the efficiency of excitation transfer to the trap gains from the combined presence of quantum coherence and temporally correlated stochastic fluctuations. We work out different limiting situations in order to discover and quantify the optimum conditions for the energy transfer to the trapped state. We find that maximum energy transfer efficiency is achieved in the intermediate limit between coherent and incoherent transport.
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Affiliation(s)
- Rajesh Dutta
- SSCU, Indian Institute of Science, Bangalore 560012, India
| | - Biman Bagchi
- SSCU, Indian Institute of Science, Bangalore 560012, India
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19
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Ishizaki A, Fleming GR. Insights into Photosynthetic Energy Transfer Gained from Free-Energy Structure: Coherent Transport, Incoherent Hopping, and Vibrational Assistance Revisited. J Phys Chem B 2021; 125:3286-3295. [PMID: 33724833 DOI: 10.1021/acs.jpcb.0c09847] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Giant strides in ultrashort laser pulse technology have enabled real-time observation of dynamical processes in complex molecular systems. Specifically, the discovery of oscillatory transients in the two-dimensional electronic spectra of photosynthetic systems stimulated a number of theoretical investigations exploring the possible physical mechanisms of the remarkable quantum efficiency of light harvesting processes. In this work, we revisit the elementary aspects of environment-induced fluctuations in the involved electronic energies and present a simple way to understand energy flow with the intuitive picture of relaxation in a funnel-type free-energy landscape. The presented free-energy description of energy transfer reveals that typical photosynthetic systems operate in an almost barrierless regime. The approach also provides insights into the distinction between coherent and incoherent energy transfer and the criteria by which the necessity of the vibrational assistance is considered.
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Affiliation(s)
- Akihito Ishizaki
- Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki 444-8585, Japan.,School of Physical Sciences, Graduate University for Advanced Studies, Okazaki 444-8585, Japan
| | - Graham R Fleming
- Department of Chemistry, University of California, Berkeley, California 94720, United States.,Molecular Biophysics and Integrated Bioimaging Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States.,Kavli Energy NanoSciences Institute at Berkeley, Berkeley, California 94720, United States
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20
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Sindhu A, Jain A. Benchmarking the Surface Hopping Method to Include Nuclear Quantum Effects. J Chem Theory Comput 2021; 17:655-665. [PMID: 33432812 DOI: 10.1021/acs.jctc.0c01065] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We have benchmarked the surface hopping method to capture nuclear quantum effects in the spin-Boson model in the deep tunneling regime. The thermal populations and the rate constants calculated using the surface hopping method are compared with those calculated using Boltzmann theory and Fermi's golden rule, respectively. Additionally, we have proposed a simple kinetic model that partially includes nuclear quantum effects within Marcus theory, and the results of the surface hopping method are analyzed under the framework of this simple kinetic model. A broad range of parameters are investigated to identify the regimes for the successes and failures of the surface hopping method. This work shows that with the accurate treatment of decoherence and velocity reversal, surface hopping can generally capture the nuclear quantum effects in the deep tunneling and weak diabatic coupling regime.
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Affiliation(s)
- Aarti Sindhu
- Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
| | - Amber Jain
- Department of Chemistry, Indian Institute of Technology Bombay, Mumbai 400076, India
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21
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Zerah Harush E, Dubi Y. Do photosynthetic complexes use quantum coherence to increase their efficiency? Probably not. SCIENCE ADVANCES 2021; 7:7/8/eabc4631. [PMID: 33597236 PMCID: PMC7888942 DOI: 10.1126/sciadv.abc4631] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 04/26/2020] [Accepted: 12/31/2020] [Indexed: 06/12/2023]
Abstract
Answering the titular question has become a central motivation in the field of quantum biology, ever since the idea was raised following a series of experiments demonstrating wave-like behavior in photosynthetic complexes. Here, we report a direct evaluation of the effect of quantum coherence on the efficiency of three natural complexes. An open quantum systems approach allows us to simultaneously identify their level of "quantumness" and efficiency, under natural physiological conditions. We show that these systems reside in a mixed quantum-classical regime, characterized by dephasing-assisted transport. Yet, we find that the change in efficiency at this regime is minute at best, implying that the presence of quantum coherence does not play a substantial role in enhancing efficiency. However, in this regime, efficiency is independent of any structural parameters, suggesting that evolution may have driven natural complexes to their parameter regime to "design" their structure for other uses.
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Affiliation(s)
- Elinor Zerah Harush
- Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
- Ilse-Katz Institute for Nanoscale Science and Technology, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
| | - Yonatan Dubi
- Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
- Ilse-Katz Institute for Nanoscale Science and Technology, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
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22
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Jung KA, Brumer P. Energy transfer under natural incoherent light: Effects of asymmetry on efficiency. J Chem Phys 2020; 153:114102. [PMID: 32962363 DOI: 10.1063/5.0020576] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
The non-equilibrium stationary coherences that form in donor-acceptor systems are investigated to determine their relationship to the efficiency of energy transfer to a neighboring reaction center. It is found that the effects of asymmetry in the dimer are generally detrimental to the transfer of energy. Four types of systems are examined, arising from combinations of localized trapping, delocalized (Forster) trapping, eigenstate dephasing, and site basis dephasing. In the cases of site basis dephasing, the interplay between the energy gap of the excited dimer states and the environment is shown to give rise to a turnover effect in the efficiency under weak dimer coupling conditions. Furthermore, the nature of the coherences and associated flux is interpreted in terms of pathway interference effects. In addition, regardless of the cases considered, the ratio of the real part and the imaginary part of the coherences in the energy-eigenbasis tends to a constant value in the steady state limit.
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Affiliation(s)
- Kenneth A Jung
- Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario M5S 3H6, Canada
| | - Paul Brumer
- Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario M5S 3H6, Canada
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23
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Yang PY, Cao J. Steady-State Analysis of Light-Harvesting Energy Transfer Driven by Incoherent Light: From Dimers to Networks. J Phys Chem Lett 2020; 11:7204-7211. [PMID: 32787319 DOI: 10.1021/acs.jpclett.0c01648] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The question of how quantum coherence facilitates energy transfer has been intensively debated in the scientific community. Since natural and artificial light-harvesting units operate under the stationary condition, we address this question via a nonequilibrium steady-state analysis of a molecular dimer irradiated by incoherent sunlight and then generalize the key predictions to arbitrarily complex exciton networks. The central result of the steady-state analysis is the coherence-flux-efficiency relation: η = c∑i≠jFijκj = 2c∑i≠jJijIm[ρij]κj, where c is the normalization constant. In this relation, the first equality indicates that the energy transfer efficiency, η, is uniquely determined by the trapping flux, which is the product of the flux, F, and branching ratio, κ, for trapping at the reaction centers, and the second equality indicates that the energy transfer flux, F, is equivalent to the quantum coherence measured by the imaginary part of the off-diagonal density matrix, that is, Fij = 2JijIm[ρij]. Consequently, maximal steady-state coherence gives rise to optimal efficiency. The coherence-flux-efficiency relation holds rigorously and generally for any exciton network of arbitrary connectivity under the stationary condition and is not limited to incoherent radiation or incoherent pumping. For light-harvesting systems under incoherent light, the nonequilibrium energy transfer flux (i.e., steady-state coherence) is driven by the breakdown of detailed balance and by the quantum interference of light excitations and leads to the optimization of energy transfer efficiency. It should be noted that the steady-state coherence or, equivalently, efficiency is the combined result of light-induced transient coherence, inhomogeneous depletion, and the system-bath correlation and is thus not necessarily correlated with quantum beatings. These findings are generally applicable to quantum networks and have implications for quantum optics and devices.
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Affiliation(s)
- Pei-Yun Yang
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Jianshu Cao
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States
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24
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Bondarenko AS, Jansen TLC, Knoester J. Exciton localization in tubular molecular aggregates: Size effects and optical response. J Chem Phys 2020; 152:194302. [PMID: 33687267 DOI: 10.1063/5.0008688] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
Abstract
We study the exciton localization and resulting optical response for disordered tubular aggregates of optically active molecules. It has previously been shown that such tubular structures allow for excitons delocalized over more than a thousand molecules, owing to the combined effects of long-range dipole-dipole interactions and the higher-dimensional (not truly one-dimensional) nature of the aggregate. Such large delocalization sizes prompt the question to what extent in experimental systems the delocalization may still be determined by the aggregate size (diameter and length) and how this affects the aggregate's optical response and dynamics. We perform a systematic study of the size effects on the localization properties using numerical simulations of the exciton states in a cylindrical model structure inspired by the previously derived geometry of a cylindrical aggregate of cyanine dye molecules (C8S3). To characterize the exciton localization, we calculate the participation ratio and the autocorrelation function of the exciton wave function. We also calculate the density of states and absorption spectrum. We find strong effects of the tube's radius on the localization and optical properties in the range of parameters relevant to the experiment. In addition, surprisingly, we find that even for tubes as long as 750 nm, the localization size is limited by the tube's length for disorder values that are relevant to experimental circumstances, while observable effects of the tube's length in the absorption spectrum still occur for tube lengths up to about 150 nm. The latter may explain the changes in the optical spectra observed during the aging process of bromine-substituted C8S3 aggregates. For weak disorder, the exciton wave functions exhibit a scattered, fractal-like nature, similar to the quasi-particles in two-dimensional disordered systems.
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Affiliation(s)
- Anna S Bondarenko
- Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands
| | - Thomas L C Jansen
- Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands
| | - Jasper Knoester
- Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands
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25
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Kell A, Khmelnitskiy AY, Reinot T, Jankowiak R. On uncorrelated inter-monomer Förster energy transfer in Fenna-Matthews-Olson complexes. J R Soc Interface 2020; 16:20180882. [PMID: 30958204 DOI: 10.1098/rsif.2018.0882] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Abstract
The Fenna-Matthews-Olson (FMO) light-harvesting antenna protein of green sulfur bacteria is a long-studied pigment-protein complex which funnels energy from the chlorosome to the reaction centre where photochemistry takes place. The structure of the FMO protein from Chlorobaculum tepidum is known as a homotrimeric complex containing eight bacteriochlorophyll a per monomer. Owing to this structure FMO has strong intra-monomer and weak inter-monomer electronic coupling constants. While long-lived (sub-picosecond) coherences within a monomer have been a prevalent topic of study over the past decade, various experimental evidence supports the presence of subsequent inter-monomer energy transfer on a picosecond time scale. The latter has been neglected by most authors in recent years by considering only sub-picosecond time scales or assuming that the inter-monomer coupling between low-energy states is too weak to warrant consideration of the entire trimer. However, Förster theory predicts that energy transfer of the order of picoseconds is possible even for very weak (less than 5 cm-1) electronic coupling between chromophores. This work reviews experimental data (with a focus on emission and hole-burned spectra) and simulations of exciton dynamics which demonstrate inter-monomer energy transfer. It is shown that the lowest energy 825 nm absorbance band cannot be properly described by a single excitonic state. The energy transfer through FMO is modelled by generalized Förster theory using a non-Markovian, reduced density matrix approach to describe the electronic structure. The disorder-averaged inter-monomer transfer time across the 825 nm band is about 27 ps. While only isolated FMO proteins are presented, the presence of inter-monomer energy transfer in the context of the overall photosystem is also briefly discussed.
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Affiliation(s)
- Adam Kell
- 1 Department of Chemistry, Kansas State University , Manhattan, KS , USA
| | | | - Tonu Reinot
- 1 Department of Chemistry, Kansas State University , Manhattan, KS , USA
| | - Ryszard Jankowiak
- 1 Department of Chemistry, Kansas State University , Manhattan, KS , USA.,2 Department of Physics, Kansas State University , Manhattan, KS , USA
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26
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Yalouz S, Pouthier V. Continuous-time quantum walk on an extended star graph: Disorder-enhanced trapping process. Phys Rev E 2020; 101:012310. [PMID: 32069559 DOI: 10.1103/physreve.101.012310] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/16/2019] [Indexed: 06/10/2023]
Abstract
Using a tight binding model, we investigate the dynamics of an exciton on a disordered extended star graph whose central site acts as an energy trap. When compared with what happens in an ordered network, our results reveal that the disorder drastically improves the excitonic absorption that becomes complete. Moreover, we show the occurrence of an optimal disorder for which the absorption time is strongly minimized, a surprising effect that originates in a disorder-induced restructuring process of the exciton eigenstates. Finally, we also show the existence of an optimal value of the absorption rate that reduces even more the absorption time. The resulting superoptimized trapping process is interpreted as a positive interplay between both the disorder and the so-called superradiance transition.
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Affiliation(s)
- Saad Yalouz
- Institut UTINAM, Université de Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France
| | - Vincent Pouthier
- Institut UTINAM, Université de Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France
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27
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Duan HG, Thorwart M, Miller RJD. Does electronic coherence enhance anticorrelated pigment vibrations under realistic conditions? J Chem Phys 2019; 151:114115. [PMID: 31542003 DOI: 10.1063/1.5119248] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The light-harvesting efficiency of a photoactive molecular complex is largely determined by the properties of its electronic quantum states. Those, in turn, are influenced by molecular vibrational states of the nuclear degrees of freedom. Here, we reexamine two recently formulated concepts that a coherent vibronic coupling between molecular states would either extend the electronic coherence lifetime or enhance the amplitude of the anticorrelated vibrational mode at longer times. For this, we study a vibronically coupled dimer and calculate the nonlinear two-dimensional (2D) electronic spectra that directly reveal electronic coherence. The time scale of electronic coherence is initially extracted by measuring the antidiagonal bandwidth of the central peak in the 2D spectrum at zero waiting time. Based on the residual analysis, we identify small-amplitude long-lived oscillations in the cross-peaks, which, however, are solely due to groundstate vibrational coherence, regardless of having resonant or off-resonant conditions. Our studies neither show an enhancement of the electronic quantum coherence nor an enhancement of the anticorrelated vibrational mode by the vibronic coupling under ambient conditions.
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Affiliation(s)
- Hong-Guang Duan
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Michael Thorwart
- I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, 20355 Hamburg, Germany
| | - R J Dwayne Miller
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany
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28
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Zampetaki A, Salas JP, Schmelcher P. Energy transfer mechanisms in a dipole chain: From energy equipartition to the formation of breathers. Phys Rev E 2018; 98:022202. [PMID: 30253512 DOI: 10.1103/physreve.98.022202] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/14/2018] [Indexed: 11/07/2022]
Abstract
We study the energy transfer in a classical dipole chain of N interacting rigid rotating dipoles. The underlying high-dimensional potential energy landscape is analyzed in particular by determining the equilibrium points and their stability in the common plane of rotation. Starting from the minimal energy configuration, the response of the chain to excitation of a single dipole is investigated. Using both the linearized and the exact Hamiltonian of the dipole chain, we detect an approximate excitation energy threshold between a weakly and a strongly nonlinear dynamics. In the weakly nonlinear regime, the chain approaches in the course of time the expected energy equipartition among the dipoles. For excitations of higher energy, strongly localized excitations appear whose trajectories in time are either periodic or irregular, relating to the well-known discrete or chaotic breathers, respectively. The phenomenon of spontaneous formation of domains of opposite polarization and phase locking is found to commonly accompany the time evolution of the chaotic breathers. Finally, the sensitivity of the dipole chain dynamics to the initial conditions is studied as a function of the initial excitation energy by computing a fast chaos indicator. The results of this study confirm the aforementioned approximate threshold value for the initial excitation energy, below which the dynamics of the dipole chain is regular and above which it is chaotic.
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Affiliation(s)
- Alexandra Zampetaki
- Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - J Pablo Salas
- Área de Física, Universidad de La Rioja, 26006 Logroño, La Rioja, Spain
| | - Peter Schmelcher
- Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.,The Hamburg Center for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany
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29
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Gong ZH, Tang ZF, Cao JS, Wu J. Optimal initialization of a quantum system for an efficient coherent energy transfer. CHINESE J CHEM PHYS 2018. [DOI: 10.1063/1674-0068/31/cjcp1804068] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
Affiliation(s)
- Zhi-hao Gong
- Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Zhou-fei Tang
- Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Jian-shu Cao
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Jianlan Wu
- Department of Physics, Zhejiang University, Hangzhou 310027, China
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30
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Dutta R, Bagchi K, Bagchi B. Role of quantum coherence in shaping the line shape of an exciton interacting with a spatially and temporally correlated bath. J Chem Phys 2018; 146:194902. [PMID: 28527457 DOI: 10.1063/1.4983223] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Kubo's fluctuation theory of line shape forms the backbone of our understanding of optical and vibrational line shapes, through such concepts as static heterogeneity and motional narrowing. However, the theory does not properly address the effects of quantum coherences on optical line shape, especially in extended systems where a large number of eigenstates are present. In this work, we study the line shape of an exciton in a one-dimensional lattice consisting of regularly placed and equally separated optical two level systems. We consider both linear array and cyclic ring systems of different sizes. Detailed analytical calculations of line shape have been carried out by using Kubo's stochastic Liouville equation (SLE). We make use of the observation that in the site representation, the Hamiltonian of our system with constant off-diagonal coupling J is a tridiagonal Toeplitz matrix (TDTM) whose eigenvalues and eigenfunctions are known analytically. This identification is particularly useful for long chains where the eigenvalues of TDTM help understanding crossover between static and fast modulation limits. We summarize the new results as follows. (i) In the slow modulation limit when the bath correlation time is large, the effects of spatial correlation are not negligible. Here the line shape is broadened and the number of peaks increases beyond the ones obtained from TDTM (constant off-diagonal coupling element J and no fluctuation). (ii) However, in the fast modulation limit when the bath correlation time is small, the spatial correlation is less important. In this limit, the line shape shows motional narrowing with peaks at the values predicted by TDTM (constant J and no fluctuation). (iii) Importantly, we find that the line shape can capture that quantum coherence affects in the two limits differently. (iv) In addition to linear chains of two level systems, we also consider a cyclic tetramer. The cyclic polymers can be designed for experimental verification. (v) We also build a connection between line shape and population transfer dynamics. In the fast modulation limit, both the line shape and the population relaxation, for both correlated and uncorrelated bath, show similar behavior. However, in slow modulation limit, they show profoundly different behavior. (vi) This study explains the unique role of the rate of fluctuation (inverse of the bath correlation time) in the sustenance and propagation of coherence. We also examine the effects of off-diagonal fluctuation in spectral line shape. Finally, we use Tanimura-Kubo formalism to derive a set of coupled equations to include temperature effects (partly neglected in the SLE employed here) and effects of vibrational mode in energy transfer dynamics.
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Affiliation(s)
- Rajesh Dutta
- SSCU, Indian Institute of Science, Bangalore 560012, India
| | - Kaushik Bagchi
- Department of Mathematics, Ohio State University, Columbus, Ohio 43210, USA
| | - Biman Bagchi
- SSCU, Indian Institute of Science, Bangalore 560012, India
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31
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Goldberg O, Meir Y, Dubi Y. Vibration-Assisted and Vibration-Hampered Excitonic Quantum Transport. J Phys Chem Lett 2018; 9:3143-3148. [PMID: 29791167 DOI: 10.1021/acs.jpclett.8b00995] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
The interplay between excitons and vibrations is considered to be a key factor in determining the exciton-transfer properties in light-harvesting complexes. Here we study this interplay theoretically in a model for exciton transport, composed of two chromophores coupled to an exciton source and sink in the presence of vibrations. We consider two cases that show qualitatively distinct transport features. In the first, the vibrations are global and affect the two chromophores simultaneously. In the second case, the vibrations are localized on each chromophore. For global vibrations, the current exhibits antiresonances as a function of the chromophore energy difference, which are due to exciton-polaron interference. For local vibrations, on the contrary, the currents show tunneling resonances at multiples of the vibration energy. Counterintuitively, both effects increase with increasing temperature. Our results demonstrate that an environment can either assist or hamper exciton transport and is in accord with the current understanding of energy transfer in natural exciton-transfer complexes.
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Affiliation(s)
- Omer Goldberg
- Department of Physics and the Ilse Katz Center for Nanoscale Science and Technology , Ben-Gurion University of the Negev , Beer Sheva 84105 , Israel
| | - Yigal Meir
- Department of Physics and the Ilse Katz Center for Nanoscale Science and Technology , Ben-Gurion University of the Negev , Beer Sheva 84105 , Israel
| | - Yonatan Dubi
- Department of Chemistry and the Ilse Katz Center for Nanoscale Science and Technology , Ben-Gurion University of the Negev , Beer Sheva 84105 , Israel
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32
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Radler JJ, Lingerfelt DB, Castellano FN, Chen LX, Li X. Role of Vibrational Dynamics on Excited-State Electronic Coherence in a Binuclear Platinum Complex. J Phys Chem A 2018; 122:5071-5077. [DOI: 10.1021/acs.jpca.8b01352] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Joseph J. Radler
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - David B. Lingerfelt
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
| | - Felix N. Castellano
- Department of Chemistry, North Carolina State University, Raleigh, North Carolina 27695-8204, United States
| | - Lin X. Chen
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, Illinois 60439, United States
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, United States
| | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195, United States
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33
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Thanh Phuc N, Ishizaki A. Control of Excitation Energy Transfer in Condensed Phase Molecular Systems by Floquet Engineering. J Phys Chem Lett 2018; 9:1243-1248. [PMID: 29469574 DOI: 10.1021/acs.jpclett.8b00067] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Excitation energy transfer (EET) is one of the most important processes in both natural and artificial chemical systems including, for example, photosynthetic complexes and organic solar cells. The EET rate, however, is strongly suppressed when there is a large difference in the excitation energy between the donor and acceptor molecules. Here, we demonstrate both analytically and numerically that the EET rate can be greatly enhanced by periodically modulating the excitation energy difference. The enhancement of EET by using this Floquet engineering, in which the system's Hamiltonian is made periodically time-dependent, turns out to be efficient even in the presence of strong fluctuations and dissipations induced by the coupling with a huge number of dynamic degrees of freedom in the surrounding molecular environments. As an effect of the environment on the Floquet engineering of EET, the optimal driving frequency is found to depend on the relative magnitudes of the system and environment's characteristic time scales with an observed frequency shift when moving from the limit of slow environmental fluctuations (inhomogeneous broadening limit) to that of fast fluctuations (homogeneous broadening limit).
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Affiliation(s)
- Nguyen Thanh Phuc
- Department of Theoretical and Computational Molecular Science , Institute for Molecular Science , Okazaki 444-8585 , Japan
- Department of Structural Molecular Science , The Graduate University for Advanced Studies , Okazaki 444-8585 , Japan
| | - Akihito Ishizaki
- Department of Theoretical and Computational Molecular Science , Institute for Molecular Science , Okazaki 444-8585 , Japan
- Department of Structural Molecular Science , The Graduate University for Advanced Studies , Okazaki 444-8585 , Japan
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34
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Yalouz S, Pouthier V. Continuous-time quantum walk on an extended star graph: Trapping and superradiance transition. Phys Rev E 2018; 97:022304. [PMID: 29548191 DOI: 10.1103/physreve.97.022304] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2017] [Indexed: 06/08/2023]
Abstract
A tight-binding model is introduced for describing the dynamics of an exciton on an extended star graph whose central node is occupied by a trap. On this graph, the exciton dynamics is governed by two kinds of eigenstates: many eigenstates are associated with degenerate real eigenvalues insensitive to the trap, whereas three decaying eigenstates characterized by complex energies contribute to the trapping process. It is shown that the excitonic population absorbed by the trap depends on the size of the graph, only. By contrast, both the size parameters and the absorption rate control the dynamics of the trapping. When these parameters are judiciously chosen, the efficiency of the transfer is optimized resulting in the minimization of the absorption time. Analysis of the eigenstates reveals that such a feature arises around the superradiance transition. Moreover, depending on the size of the network, two situations are highlighted where the transport efficiency is either superoptimized or suboptimized.
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Affiliation(s)
- Saad Yalouz
- Institut UTINAM, Univ. Bourgogne Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France
| | - Vincent Pouthier
- Institut UTINAM, Univ. Bourgogne Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France
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35
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Correlated Protein Environments Drive Quantum Coherence Lifetimes in Photosynthetic Pigment-Protein Complexes. Chem 2018. [DOI: 10.1016/j.chempr.2017.12.009] [Citation(s) in RCA: 39] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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36
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Caycedo-Soler F, Schroeder CA, Autenrieth C, Pick A, Ghosh R, Huelga SF, Plenio MB. Quantum Redirection of Antenna Absorption to Photosynthetic Reaction Centers. J Phys Chem Lett 2017; 8:6015-6021. [PMID: 29185757 DOI: 10.1021/acs.jpclett.7b02714] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
The early steps of photosynthesis involve the photoexcitation of reaction centers (RCs) and light-harvesting (LH) units. Here, we show that the historically overlooked excitonic delocalization across RC and LH pigments results in a redistribution of absorption amplitudes that benefits the absorption cross section of the optical bands associated with the RC of several species. While we prove that this redistribution is robust to the microscopic details of the dephasing between these units in the purple bacterium Rhodospirillum rubrum, we are able to show that the redistribution witnesses a more fragile, but persistent, coherent population dynamics which directs excitations from the LH toward the RC units under incoherent illumination and physiological conditions. Even though the redirection does not seem to affect importantly the overall efficiency in photosynthesis, stochastic optimization allows us to delineate clear guidelines and develop simple analytic expressions in order to amplify the coherent redirection in artificial nanostructures.
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Affiliation(s)
- Felipe Caycedo-Soler
- Institute of Theoretical Physics and Integrated Quantum Science and Technology IQST, University of Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, Germany
| | - Christopher A Schroeder
- Institute of Theoretical Physics and Integrated Quantum Science and Technology IQST, University of Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, Germany
- Joint Quantum Institute, Department of Physics, University of Maryland and National Institute of Standards and Technology , College Park, Maryland 20742, United States
| | - Caroline Autenrieth
- Department of Bioenergetics, Institute of Biomaterials and Biomolecular Systems, University of Stuttgart , Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - Arne Pick
- Institute of Theoretical Physics and Integrated Quantum Science and Technology IQST, University of Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, Germany
| | - Robin Ghosh
- Department of Bioenergetics, Institute of Biomaterials and Biomolecular Systems, University of Stuttgart , Pfaffenwaldring 57, D-70569 Stuttgart, Germany
| | - Susana F Huelga
- Institute of Theoretical Physics and Integrated Quantum Science and Technology IQST, University of Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, Germany
| | - Martin B Plenio
- Institute of Theoretical Physics and Integrated Quantum Science and Technology IQST, University of Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, Germany
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37
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Dutta R, Bagchi B. Environment-Assisted Quantum Coherence in Photosynthetic Complex. J Phys Chem Lett 2017; 8:5566-5572. [PMID: 29083925 DOI: 10.1021/acs.jpclett.7b02480] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Recent experiments [ Engel et al. Nature, 2007, 446, 782-786 ] revealed the existence of surprisingly long-lived quantum coherence in the noisy biological environment of the photosynthetic Fenna-Matthews-Olson (FMO) complex. Such coherence can clearly play an important role in facilitating efficient energy transfer. The occurrence of quantum coherence in quantum transport is also implicated in excitation transport processes in conjugated polymers [ Collini et al. Science, 2009, 323, 369-373 ]. Even though these systems are strongly correlated, most theoretical studies invoke a Markovian approximation where the temporal correlation of bath fluctuations is neglected. We use an elegant nonperturbative method based on Kubo's quantum stochastic Liouville equation (QSLE) to study the effects of correlated non-Markovian bath fluctuations in several different limits and find the interesting result that fluctuations not only destroy coherence but under appropriate conditions can also facilitate it. We show that temperature has the most pronounced effect in the intermediate coupling limit where it can promote transition from coherent to incoherent transfer.
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Affiliation(s)
- Rajesh Dutta
- SSCU, Indian Institute of Science , Bangalore 560012, India
| | - Biman Bagchi
- SSCU, Indian Institute of Science , Bangalore 560012, India
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38
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Chenu A, Keren N, Paltiel Y, Nevo R, Reich Z, Cao J. Light Adaptation in Phycobilisome Antennas: Influence on the Rod Length and Structural Arrangement. J Phys Chem B 2017; 121:9196-9202. [DOI: 10.1021/acs.jpcb.7b07781] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Aurélia Chenu
- Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
- Singapore-MIT Alliance for Research and Technology, 138602 Singapore
| | - Nir Keren
- Department
of Plant and Environmental Sciences, Alexander Silberman Institute
of Life Sciences, Givat Ram, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
| | - Yossi Paltiel
- Department
of Plant and Environmental Sciences, Alexander Silberman Institute
of Life Sciences, Givat Ram, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel
| | - Reinat Nevo
- Department
of Biomolecular Sciences, Weizmann Institute of Science, 7610001 Rehovot, Israel
| | - Ziv Reich
- Department
of Biomolecular Sciences, Weizmann Institute of Science, 7610001 Rehovot, Israel
| | - Jianshu Cao
- Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
- Singapore-MIT Alliance for Research and Technology, 138602 Singapore
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39
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Knee GC, Rowe P, Smith LD, Troisi A, Datta A. Structure-Dynamics Relation in Physically-Plausible Multi-Chromophore Systems. J Phys Chem Lett 2017; 8:2328-2333. [PMID: 28475337 DOI: 10.1021/acs.jpclett.7b00829] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We study a large number of physically-plausible arrangements of chromophores, generated via a computational method involving stochastic real-space transformations of a naturally-occurring "reference" structure, illustrating our methodology using the well-studied Fenna-Matthews-Olson complex (FMO). To explore the idea that the natural structure has been tuned for efficient energy transport, we use an atomic transition charge method to calculate the excitonic couplings of each generated structure and a Lindblad master equation to study the quantum transport of an exciton from a "source" to a "drain" chromophore. We find significant correlations between structure and transport efficiency: High-performing structures tend to be more compact and, among those, the best structures display a certain orientation of the chromophores, particularly the chromophore closest to the source-to-drain vector. We conclude that, subject to reasonable, physically motivated constraints, the FMO complex is highly attuned to the purpose of energy transport, partly by exploiting these structural motifs.
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Affiliation(s)
| | - Patrick Rowe
- London Centre for Nanotechnology, Thomas Young Centre, and Department of Physics and Astronomy, University College London , 17-19 Gordon Street, London WC1H 0AH, United Kingdom
| | | | - Alessandro Troisi
- Department of Chemistry, University of Liverpool , Liverpool L69 7ZD, United Kingdom
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40
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Baker LA, Habershon S. Photosynthetic pigment-protein complexes as highly connected networks: implications for robust energy transport. Proc Math Phys Eng Sci 2017; 473:20170112. [PMID: 28588417 PMCID: PMC5454362 DOI: 10.1098/rspa.2017.0112] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2017] [Accepted: 05/04/2017] [Indexed: 02/01/2023] Open
Abstract
Photosynthetic pigment-protein complexes (PPCs) are a vital component of the light-harvesting machinery of all plants and photosynthesizing bacteria, enabling efficient transport of the energy of absorbed light towards the reaction centre, where chemical energy storage is initiated. PPCs comprise a set of chromophore molecules, typically bacteriochlorophyll species, held in a well-defined arrangement by a protein scaffold; this relatively rigid distribution leads to a viewpoint in which the chromophore subsystem is treated as a network, where chromophores represent vertices and inter-chromophore electronic couplings represent edges. This graph-based view can then be used as a framework within which to interrogate the role of structural and electronic organization in PPCs. Here, we use this network-based viewpoint to compare excitation energy transfer (EET) dynamics in the light-harvesting complex II (LHC-II) system commonly found in higher plants and the Fenna-Matthews-Olson (FMO) complex found in green sulfur bacteria. The results of our simple network-based investigations clearly demonstrate the role of network connectivity and multiple EET pathways on the efficient and robust EET dynamics in these PPCs, and highlight a role for such considerations in the development of new artificial light-harvesting systems.
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Affiliation(s)
| | - Scott Habershon
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry CV4 7AL, UK
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41
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González-Férez R, Iñarrea M, Salas JP, Schmelcher P. Analysis of the classical phase space and energy transfer for two rotating dipoles with and without external electric field. Phys Rev E 2017; 95:012209. [PMID: 28208377 DOI: 10.1103/physreve.95.012209] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2016] [Indexed: 11/07/2022]
Abstract
We explore the classical dynamics of two interacting rotating dipoles that are fixed in the space and exposed to an external homogeneous electric field. Kinetic energy transfer mechanisms between the dipoles are investigated by varying both the amount of initial excess kinetic energy of one of them and the strength of the electric field. In the field-free case, and depending on the initial excess energy, an abrupt transition between equipartition and nonequipartition regimes is encountered. The study of the phase space structure of the system as well as the formulation of the Hamiltonian in an appropriate coordinate frame provide a thorough understanding of this sharp transition. When the electric field is turned on, the kinetic energy transfer mechanism is significantly more complex and the system goes through different regimes of equipartition and nonequipartition of the energy including chaotic behavior.
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Affiliation(s)
- Rosario González-Férez
- Instituto Carlos I de Física Teórica y Computacional, and Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, 18071 Granada, Spain
| | - Manuel Iñarrea
- Área de Física, Universidad de La Rioja, 26006 Logroño, La Rioja, Spain
| | - J Pablo Salas
- Área de Física, Universidad de La Rioja, 26006 Logroño, La Rioja, Spain
| | - Peter Schmelcher
- The Hamburg Center for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany.,Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
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42
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Aghtar M, Kleinekathöfer U, Curutchet C, Mennucci B. Impact of Electronic Fluctuations and Their Description on the Exciton Dynamics in the Light-Harvesting Complex PE545. J Phys Chem B 2017; 121:1330-1339. [DOI: 10.1021/acs.jpcb.6b10772] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Mortaza Aghtar
- Department
of Physics and Earth Sciences, Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany
| | - Ulrich Kleinekathöfer
- Department
of Physics and Earth Sciences, Jacobs University Bremen, Campus Ring 1, 28759 Bremen, Germany
| | - Carles Curutchet
- Departament
de Farmàcia i Tecnologia Farmacèutica i Fisicoquímica
and Institut de Biomedicina (IBUB), Facultat de Farmàcia, Universitat de Barcelona, Av. Joan XXIII s/n, 08028 Barcelona, Spain
| | - Benedetta Mennucci
- Dipartimento
di Chimica e Chimica Industriale, University of Pisa, Via G. Moruzzi
13, I-56124 Pisa, Italy
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43
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Monahan DM, Whaley-Mayda L, Ishizaki A, Fleming GR. Influence of weak vibrational-electronic couplings on 2D electronic spectra and inter-site coherence in weakly coupled photosynthetic complexes. J Chem Phys 2016; 143:065101. [PMID: 26277167 DOI: 10.1063/1.4928068] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Coherence oscillations measured in two-dimensional (2D) electronic spectra of pigment-protein complexes may have electronic, vibrational, or mixed-character vibronic origins, which depend on the degree of electronic-vibrational mixing. Oscillations from intrapigment vibrations can obscure the inter-site coherence lifetime of interest in elucidating the mechanisms of energy transfer in photosynthetic light-harvesting. Huang-Rhys factors (S) for low-frequency vibrations in Chlorophyll and Bacteriochlorophyll are quite small (S ≤ 0.05), so it is often assumed that these vibrations influence neither 2D spectra nor inter-site coherence dynamics. In this work, we explore the influence of S within this range on the oscillatory signatures in simulated 2D spectra of a pigment heterodimer. To visualize the inter-site coherence dynamics underlying the 2D spectra, we introduce a formalism which we call the "site-probe response." By comparing the calculated 2D spectra with the site-probe response, we show that an on-resonance vibration with Huang-Rhys factor as small as S = 0.005 and the most strongly coupled off-resonance vibrations (S = 0.05) give rise to long-lived, purely vibrational coherences at 77 K. We moreover calculate the correlation between optical pump interactions and subsequent entanglement between sites, as measured by the concurrence. At 77 K, greater long-lived inter-site coherence and entanglement appear with increasing S. This dependence all but vanishes at physiological temperature, as environmentally induced fluctuations destroy the vibronic mixing.
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Affiliation(s)
- Daniele M Monahan
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Lukas Whaley-Mayda
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Akihito Ishizaki
- Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki 444-8585, Japan
| | - Graham R Fleming
- Department of Chemistry, University of California, Berkeley, California 94720, USA
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44
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Rota Martir D, Hedley GJ, Cordes DB, Slawin AMZ, Escudero D, Jacquemin D, Kosikova T, Philp D, Dawson DM, Ashbrook SE, Samuel IDW, Zysman-Colman E. Exploring the self-assembly and energy transfer of dynamic supramolecular iridium-porphyrin systems. Dalton Trans 2016; 45:17195-17205. [DOI: 10.1039/c6dt02619b] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We present the first examples of dynamic supramolecular iridium–zinc porphyrin systems.
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45
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Tang Z, Gong Z, Wu J. Generalized quantum kinetic expansion: Time scale separation between intra-cluster and inter-cluster kinetics. J Chem Phys 2015; 143:104107. [DOI: 10.1063/1.4930012] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Affiliation(s)
- Zhoufei Tang
- Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China
| | - Zhihao Gong
- Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China
| | - Jianlan Wu
- Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China
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46
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Baker LA, Habershon S. Robustness, efficiency, and optimality in the Fenna-Matthews-Olson photosynthetic pigment-protein complex. J Chem Phys 2015; 143:105101. [DOI: 10.1063/1.4930110] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
Affiliation(s)
- Lewis A. Baker
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry CV4 7AL, United Kingdom
| | - Scott Habershon
- Department of Chemistry and Centre for Scientific Computing, University of Warwick, Coventry CV4 7AL, United Kingdom
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47
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Wu J, Gong Z, Tang Z. Generalized quantum kinetic expansion: Higher-order corrections to multichromophoric Förster theory. J Chem Phys 2015; 143:074102. [DOI: 10.1063/1.4928634] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
Affiliation(s)
- Jianlan Wu
- Physics Department, Zhejiang University, 38 Zheda Road, Hangzhou, Zhejiang 310027, China
| | - Zhihao Gong
- Physics Department, Zhejiang University, 38 Zheda Road, Hangzhou, Zhejiang 310027, China
| | - Zhoufei Tang
- Physics Department, Zhejiang University, 38 Zheda Road, Hangzhou, Zhejiang 310027, China
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48
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Melkikh AV, Khrennikov A. Nontrivial quantum and quantum-like effects in biosystems: Unsolved questions and paradoxes. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2015; 119:137-61. [PMID: 26160644 DOI: 10.1016/j.pbiomolbio.2015.07.001] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/23/2015] [Revised: 07/02/2015] [Accepted: 07/03/2015] [Indexed: 12/31/2022]
Abstract
Non-trivial quantum effects in biological systems are analyzed. Some unresolved issues and paradoxes related to quantum effects (Levinthal's paradox, the paradox of speed, and mechanisms of evolution) are addressed. It is concluded that the existence of non-trivial quantum effects is necessary for the functioning of living systems. In particular, it is demonstrated that classical mechanics cannot explain the stable work of the cell and any over-cell structures. The need for quantum effects is generated also by combinatorial problems of evolution. Their solution requires a priori information about the states of the evolving system, but within the framework of the classical theory it is not possible to explain mechanisms of its storage consistently. We also present essentials of so called quantum-like paradigm: sufficiently complex bio-systems process information by violating the laws of classical probability and information theory. Therefore the mathematical apparatus of quantum theory may have fruitful applications to describe behavior of bio-systems: from cells to brains, ecosystems and social systems. In quantum-like information biology it is not presumed that quantum information bio-processing is resulted from quantum physical processes in living organisms. Special experiments to test the role of quantum mechanics in living systems are suggested. This requires a detailed study of living systems on the level of individual atoms and molecules. Such monitoring of living systems in vivo can allow the identification of the real potentials of interaction between biologically important molecules.
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Affiliation(s)
- Alexey V Melkikh
- Ural Federal University, Mira str. 19, Yekaterinburg, 620002, Russia.
| | - Andrei Khrennikov
- International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö, S-35195, Sweden.
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49
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Wilkins DM, Dattani NS. Why Quantum Coherence Is Not Important in the Fenna–Matthews–Olsen Complex. J Chem Theory Comput 2015; 11:3411-9. [DOI: 10.1021/ct501066k] [Citation(s) in RCA: 74] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Affiliation(s)
- David M. Wilkins
- Physical and Theoretical
Chemistry Laboratory, Oxford University, South Parks Road, Oxford, OX1 3QZ, United Kingdom
| | - Nikesh S. Dattani
- Quantum
Chemistry Laboratory,
Department of Chemistry, Kyoto University, 606-8502, Kyoto, Japan
- School of Materials Science
and Engineering, Nanyang Technological University, Block N4.1, Nanyang Avenue, Singapore 639798
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50
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Wu J, Tang Z, Gong Z, Cao J, Mukamel S. Minimal Model of Quantum Kinetic Clusters for the Energy-Transfer Network of a Light-Harvesting Protein Complex. J Phys Chem Lett 2015; 6:1240-1245. [PMID: 26262980 DOI: 10.1021/acs.jpclett.5b00227] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
The energy absorbed in a light-harvesting protein complex is often transferred collectively through aggregated chromophore clusters. For population evolution of chromophores, the time-integrated effective rate matrix allows us to construct quantum kinetic clusters quantitatively and determine the reduced cluster-cluster transfer rates systematically, thus defining a minimal model of energy-transfer kinetics. For Fenna-Matthews-Olson (FMO) and light-havrvesting complex II (LCHII) monomers, quantum Markovian kinetics of clusters can accurately reproduce the overall energy-transfer process in the long-time scale. The dominant energy-transfer pathways are identified in the picture of aggregated clusters. The chromophores distributed extensively in various clusters can assist a fast and long-range energy transfer.
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Affiliation(s)
- Jianlan Wu
- †Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China
| | - Zhoufei Tang
- †Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China
| | - Zhihao Gong
- †Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China
| | - Jianshu Cao
- ‡Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Shaul Mukamel
- ¶Department of Chemistry, University of California, Irvine, California 92697, United States
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