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Giavazzi D, Saseendran S, Di Maiolo F, Painelli A. A Comprehensive Approach to Exciton Delocalization and Energy Transfer. J Chem Theory Comput 2022; 19:436-447. [PMID: 36563008 PMCID: PMC9878730 DOI: 10.1021/acs.jctc.2c00980] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/02/2022] [Indexed: 12/24/2022]
Abstract
Electrostatic intermolecular interactions lie at the heart of both the Förster model for resonance energy transfer (RET) and the exciton model for energy delocalization. In the Förster theory of RET, the excitation energy incoherently flows from the energy donor to a weakly coupled energy acceptor. The exciton model describes instead the energy delocalization in aggregates of identical (or nearly so) molecules. Here, we introduce a model that brings together molecular aggregates and RET. We will consider a couple of molecules, each described in terms of two diabatic electronic states, coupled to an effective molecular vibration. Electrostatic intermolecular interactions drive energy fluxes between the molecules, that, depending on model parameters, can be described as RET or energy delocalization. At variance with the standard Förster model for RET and of the exciton model for aggregates, our approach applies both in the weak and in the strong coupling regimes and fully accounts for the quantum nature of molecular vibrations in a nonadiabatic approach. Coupling the system to a thermal bath, we follow RET and energy delocalization in real time and simulate time-resolved emission spectra.
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Affiliation(s)
- D. Giavazzi
- Department of Chemistry,
Life Science and Environmental Sustainability, Università di Parma, 43124 Parma, Italy
| | - S. Saseendran
- Department of Chemistry,
Life Science and Environmental Sustainability, Università di Parma, 43124 Parma, Italy
| | - F. Di Maiolo
- Department of Chemistry,
Life Science and Environmental Sustainability, Università di Parma, 43124 Parma, Italy
| | - A. Painelli
- Department of Chemistry,
Life Science and Environmental Sustainability, Università di Parma, 43124 Parma, Italy
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2
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Patra S, Tiwari V. Vibronic resonance along effective modes mediates selective energy transfer in excitonically coupled aggregates. J Chem Phys 2022; 156:184115. [PMID: 35568533 DOI: 10.1063/5.0088855] [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
We recently proposed effective normal modes for excitonically coupled aggregates that exactly transform the energy transfer Hamiltonian into a sum of one-dimensional Hamiltonians along the effective normal modes. Identifying physically meaningful vibrational motions that maximally promote vibronic mixing suggested an interesting possibility of leveraging vibrational-electronic resonance for mediating selective energy transfer. Here, we expand on the effective mode approach, elucidating its iterative nature for successively larger aggregates, and extend the idea of mediated energy transfer to larger aggregates. We show that energy transfer between electronically uncoupled but vibronically resonant donor-acceptor sites does not depend on the intermediate site energy or the number of intermediate sites. The intermediate sites simply mediate electronic coupling such that vibronic coupling along specific promoter modes leads to direct donor-acceptor energy transfer, bypassing any intermediate uphill energy transfer steps. We show that the interplay between the electronic Hamiltonian and the effective mode transformation partitions the linear vibronic coupling along specific promoter modes to dictate the selectivity of mediated energy transfer with a vital role of interference between vibronic couplings and multi-particle basis states. Our results suggest a general design principle for enhancing energy transfer through synergistic effects of vibronic resonance and weak mediated electronic coupling, where both effects individually do not promote efficient energy transfer. The effective mode approach proposed here paves a facile route toward four-wavemixing spectroscopy simulations of larger aggregates without severely approximating resonant vibronic coupling.
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Affiliation(s)
- Sanjoy Patra
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore, Karnataka 560012, India
| | - Vivek Tiwari
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore, Karnataka 560012, India
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3
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Patra S, Sahu A, Tiwari V. Effective normal modes identify vibrational motions which maximally promote vibronic mixing in excitonically coupled aggregates. J Chem Phys 2021; 154:111106. [PMID: 33752366 DOI: 10.1063/5.0037759] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Controlling energy transfer through vibronic resonance is an interesting possibility. Exact treatment of non-adiabatic vibronic coupling is necessary to fully capture its role in driving energy transfer. However, the exact treatment of vibrations in extended systems is expensive, sometimes requiring oversimplifying approximations to reduce vibrational dimensionality, and do not provide physical insights into which specific vibrational motions promote energy transfer. In this communication, we derive effective normal modes for understanding vibronically enhanced energy transfer in excitonically coupled aggregates. We show that the dynamics of the overall high-dimensional vibronic Hamiltonian can be better understood through one-dimensional Hamiltonians separable along these effective modes. We demonstrate this approach on a trimer toy model to analyze the role of an intermediate "trap" site in mediating energy transfer between electronically uncoupled sites. Bringing uncoupled sites into vibronic resonance converts the "trap" into a "shuttle" for energy transfer. By deconvolving the dynamics along the aggregate normal modes, our approach identifies the specific vibrational motions, which maximally promote energy transfer, against spectator modes, which do not participate in vibronic mixing.
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Affiliation(s)
- Sanjoy Patra
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore, Karnataka 560012, India
| | - Amitav Sahu
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore, Karnataka 560012, India
| | - Vivek Tiwari
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore, Karnataka 560012, India
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4
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Sahu A, Kurian JS, Tiwari V. Vibronic resonance is inadequately described by one-particle basis sets. J Chem Phys 2020; 153:224114. [DOI: 10.1063/5.0029027] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023] Open
Affiliation(s)
- Amitav Sahu
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore, Karnataka 560012, India
| | - Jo Sony Kurian
- Department of Chemistry, Indian Institute of Science Education and Research, Bhopal, Madhya Pradesh 462066, India
| | - Vivek Tiwari
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bangalore, Karnataka 560012, India
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5
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Pant R, Wüster S. Excitation transport in molecular aggregates with thermal motion. Phys Chem Chem Phys 2020; 22:21169-21184. [PMID: 32929422 DOI: 10.1039/d0cp01211d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Molecular aggregates can under certain conditions transport electronic excitation energy over large distances due to dipole-dipole interactions. Here, we explore to what extent thermal motion of entire monomers can guide or enhance this excitation transport. The motion induces changes of aggregate geometry and hence modifies exciton states. Under certain conditions, excitation energy can thus be transported by the aggregate adiabatically, following a certain exciton eigenstate. While such transport is always slower than direct migration through dipole-dipole interactions, we show that transport through motion can yield higher transport efficiencies in the presence of on-site energy disorder than the static counterpart. For this we consider two simple models of molecular motion: (i) longitudinal vibrations of the monomers along the aggregation direction within their inter-molecular binding potential and (ii) torsional motion of planar monomers in a plane orthogonal to the aggregation direction. The parameters and potential shapes used are relevant to dye-molecule aggregates. We employ a quantum-classical method, in which molecules move through simplified classical molecular dynamics, while the excitation transport is treated quantum mechanically using Schrödinger's equation. For both models we find parameter regimes in which the motion enhances excitation transport, however these are more realistic for the torsional scenario, due to the limited motional range in a typical Morse type inter-molecular potential. We finally show that the transport enhancement can be linked to adiabatic quantum dynamics. This transport enhancement through adiabatic motion appears a useful resource to combat exciton trapping by disorder.
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Affiliation(s)
- Ritesh Pant
- Department of Physics, Indian Institute of Science Education and Research (IISER) Bhopal, Bhopal By-pass Road, Bhauri, Bhopal-462066, MP, India.
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6
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Goswami S, Kopec S, Köppel H. Vibronic Coupling and Excitation Transfer in Hydrogen-Bonded Molecular Dimers: A Quantum Dynamical Analysis. J Phys Chem A 2019; 123:5491-5503. [DOI: 10.1021/acs.jpca.9b04903] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Sugata Goswami
- Physikalisch-Chemisches Institut, Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
| | - Sabine Kopec
- Physikalisch-Chemisches Institut, Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
| | - Horst Köppel
- Physikalisch-Chemisches Institut, Universität Heidelberg, Im Neuenheimer Feld 229, D-69120 Heidelberg, Germany
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7
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Two-Dimensional Resonance Raman Signatures of Vibronic Coherence Transfer in Chemical Reactions. Top Curr Chem (Cham) 2017; 375:87. [DOI: 10.1007/s41061-017-0173-0] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/11/2017] [Accepted: 10/02/2017] [Indexed: 11/26/2022]
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8
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Molecular aspects of squaraine dyes aggregation and its influence on spectroscopic properties. Theor Chem Acc 2016. [DOI: 10.1007/s00214-016-1971-0] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
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9
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Brüning C, Wehner J, Hausner J, Wenzel M, Engel V. Exciton dynamics in perturbed vibronic molecular aggregates. STRUCTURAL DYNAMICS (MELVILLE, N.Y.) 2016; 3:043201. [PMID: 26798840 PMCID: PMC4720114 DOI: 10.1063/1.4936127] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/04/2015] [Accepted: 10/27/2015] [Indexed: 06/05/2023]
Abstract
A site specific perturbation of a photo-excited molecular aggregate can lead to a localization of excitonic energy. We investigate this localization dynamics for laser-prepared excited states. Changing the parameters of the electric field significantly influences the exciton localization which offers the possibility for a selective control of this process. This is demonstrated for aggregates possessing a single vibrational degree of freedom per monomer unit. It is shown that the effects identified for the molecular dimer can be generalized to larger aggregates with a high density of vibronic states.
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Affiliation(s)
- C Brüning
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Am Hubland , Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - J Wehner
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Am Hubland , Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - J Hausner
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Am Hubland , Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - M Wenzel
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Am Hubland , Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - V Engel
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Am Hubland , Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
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10
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Mourokh LG, Nori F. Energy transfer efficiency in the chromophore network strongly coupled to a vibrational mode. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:052720. [PMID: 26651736 DOI: 10.1103/physreve.92.052720] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/13/2014] [Indexed: 06/05/2023]
Abstract
Using methods from condensed matter and statistical physics, we examine the transport of excitons through the photosynthetic complex from a receiving antenna to a reaction center. Writing the equations of motion for the exciton creation-annihilation operators, we are able to describe the exciton dynamics, even in the regime when the reorganization energy is of the order of the intrasystem couplings. We determine the exciton transfer efficiency in the presence of a quenching field and protein environment. While the majority of the protein vibrational modes are treated as a heat bath, we address the situation when specific modes are strongly coupled to excitons and examine the effects of these modes on the energy transfer efficiency in the steady-state regime. Using the structural parameters of the Fenna-Matthews-Olson complex, we find that, for vibrational frequencies below 16 meV, the exciton transfer is drastically suppressed. We attribute this effect to the formation of a "mixed exciton-vibrational mode" where the exciton is transferred back and forth between the two pigments with the absorption or emission of vibrational quanta, instead of proceeding to the reaction center. The same effect suppresses the quantum beating at the vibrational frequency of 25 meV. We also show that the efficiency of the energy transfer can be enhanced when the vibrational mode strongly couples to the third pigment only, instead of coupling to the entire system.
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Affiliation(s)
- Lev G Mourokh
- Department of Physics, Queens College, City University of New York, Flushing, New York 11367, USA
- Graduate Center of CUNY, New York, New York 10016, USA
| | - Franco Nori
- CEMS, RIKEN, Saitama, 351-0198, Japan
- Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
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11
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Schempp H, Günter G, Wüster S, Weidemüller M, Whitlock S. Correlated Exciton Transport in Rydberg-Dressed-Atom Spin Chains. PHYSICAL REVIEW LETTERS 2015; 115:093002. [PMID: 26371647 DOI: 10.1103/physrevlett.115.093002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/06/2015] [Indexed: 06/05/2023]
Abstract
We investigate the transport of excitations through a chain of atoms with nonlocal dissipation introduced through coupling to additional short-lived states. The system is described by an effective spin-1/2 model where the ratio of the exchange interaction strength to the reservoir coupling strength determines the type of transport, including coherent exciton motion, incoherent hopping, and a regime in which an emergent length scale leads to a preferred hopping distance far beyond nearest neighbors. For multiple impurities, the dissipation gives rise to strong nearest-neighbor correlations and entanglement. These results highlight the importance of nontrivial dissipation, correlations, and many-body effects in recent experiments on the dipole-mediated transport of Rydberg excitations.
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Affiliation(s)
- H Schempp
- Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany
| | - G Günter
- Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany
| | - S Wüster
- Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany
| | - M Weidemüller
- Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany
- Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics and CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - S Whitlock
- Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany
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12
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Huh J, Saikin SK, Brookes JC, Valleau S, Fujita T, Aspuru-Guzik A. Atomistic study of energy funneling in the light-harvesting complex of green sulfur bacteria. J Am Chem Soc 2014; 136:2048-57. [PMID: 24405318 DOI: 10.1021/ja412035q] [Citation(s) in RCA: 70] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
Abstract
Phototrophic organisms such as plants, photosynthetic bacteria, and algae use microscopic complexes of pigment molecules to absorb sunlight. Within the light-harvesting complexes, which frequently have several functional and structural subunits, the energy is transferred in the form of molecular excitations with very high efficiency. Green sulfur bacteria are considered to be among the most efficient light-harvesting organisms. Despite multiple experimental and theoretical studies of these bacteria, the physical origin of the efficient and robust energy transfer in their light-harvesting complexes is not well understood. To study excitation dynamics at the systems level, we introduce an atomistic model that mimics a complete light-harvesting apparatus of green sulfur bacteria. The model contains approximately 4000 pigment molecules and comprises a double wall roll for the chlorosome, a baseplate, and six Fenna-Matthews-Olson trimer complexes. We show that the fast relaxation within functional subunits combined with the transfer between collective excited states of pigments can result in robust energy funneling to the initial excitation conditions and temperature changes. Moreover, the same mechanism describes the coexistence of multiple time scales of excitation dynamics frequently observed in ultrafast optical experiments. While our findings support the hypothesis of supertransfer, the model reveals energy transport through multiple channels on different length scales.
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Affiliation(s)
- Joonsuk Huh
- Department of Chemistry and Chemical Biology, Harvard University , Cambridge, Massachusetts 02138, United States
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13
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Ahrens J, Haberlag B, Scheja A, Tamm M, Bröring M. Conjugated BODIPY DYEmers by Metathesis Reactions. Chemistry 2013; 20:2901-12. [DOI: 10.1002/chem.201303468] [Citation(s) in RCA: 63] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/04/2013] [Indexed: 12/18/2022]
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14
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West BA, Molesky BP, Giokas PG, Moran AM. Uncovering molecular relaxation processes with nonlinear spectroscopies in the deep UV. Chem Phys 2013. [DOI: 10.1016/j.chemphys.2013.06.027] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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15
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Brüning C, Renziehausen K, Engel V. On the parameterization of vibronic Hamiltonians for molecular aggregates using absorption line-shapes as an input. J Chem Phys 2013; 139:054303. [DOI: 10.1063/1.4816765] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
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16
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Schröter M, Kühn O. Interplay Between Nonadiabatic Dynamics and Frenkel Exciton Transfer in Molecular Aggregates: Formulation and Application to a Perylene Bismide Model. J Phys Chem A 2013; 117:7580-8. [DOI: 10.1021/jp402587p] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- M. Schröter
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - O. Kühn
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
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17
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Kolli A, O'Reilly EJ, Scholes GD, Olaya-Castro A. The fundamental role of quantized vibrations in coherent light harvesting by cryptophyte algae. J Chem Phys 2013; 137:174109. [PMID: 23145719 DOI: 10.1063/1.4764100] [Citation(s) in RCA: 174] [Impact Index Per Article: 15.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
Abstract
The influence of fast vibrations on energy transfer and conversion in natural molecular aggregates is an issue of central interest. This article shows the important role of high-energy quantized vibrations and their non-equilibrium dynamics for energy transfer in photosynthetic systems with highly localized excitonic states. We consider the cryptophyte antennae protein phycoerythrin 545 and show that coupling to quantized vibrations, which are quasi-resonant with excitonic transitions is fundamental for biological function as it generates non-cascaded transport with rapid and wider spatial distribution of excitation energy. Our work also indicates that the non-equilibrium dynamics of such vibrations can manifest itself in ultrafast beating of both excitonic populations and coherences at room temperature, with time scales in agreement with those reported in experiments. Moreover, we show that mechanisms supporting coherent excitonic dynamics assist coupling to selected modes that channel energy to preferential sites in the complex. We therefore argue that, in the presence of strong coupling between electronic excitations and quantized vibrations, a concrete and important advantage of quantum coherent dynamics is precisely to tune resonances that promote fast and effective energy distribution.
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Affiliation(s)
- Avinash Kolli
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
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18
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Ambrosek D, Köhn A, Schulze J, Kühn O. Quantum Chemical Parametrization and Spectroscopic Characterization of the Frenkel Exciton Hamiltonian for a J-Aggregate Forming Perylene Bisimide Dye. J Phys Chem A 2012; 116:11451-8. [DOI: 10.1021/jp3069706] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- D. Ambrosek
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - A. Köhn
- Institut für Physikalische
Chemie, Universität Mainz, Duesbergweg
10-14, D-55099 Mainz, Germany
| | - J. Schulze
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
| | - O. Kühn
- Institut für Physik, Universität Rostock, D-18051 Rostock, Germany
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19
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Wehner J, Schubert A, Engel V. Vibronic energy localization in weakly coupled small molecular aggregates. Chem Phys Lett 2012. [DOI: 10.1016/j.cplett.2012.05.034] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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20
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Christensson N, Kauffmann HF, Pullerits T, Mančal T. Origin of long-lived coherences in light-harvesting complexes. J Phys Chem B 2012; 116:7449-54. [PMID: 22642682 PMCID: PMC3789255 DOI: 10.1021/jp304649c] [Citation(s) in RCA: 284] [Impact Index Per Article: 23.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
A vibronic exciton model is applied to explain the long-lived oscillatory features in the two-dimensional (2D) electronic spectra of the Fenna-Matthews-Olson (FMO) complex. Using experimentally determined parameters and uncorrelated site energy fluctuations, the model predicts oscillations with dephasing times of 1.3 ps at 77 K, which is in a good agreement with the experimental results. These long-lived oscillations originate from the coherent superposition of vibronic exciton states with dominant contributions from vibrational excitations on the same pigment. The oscillations obtain a large amplitude due to excitonic intensity borrowing, which gives transitions with strong vibronic character a significant intensity despite the small Huang-Rhys factor. Purely electronic coherences are found to decay on a 200 fs time scale.
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Affiliation(s)
- Niklas Christensson
- Faculty of Physics, University of Vienna, Strudlhofgasse 4, 1090 Vienna, Austria
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21
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Gelin MF, Sharp LZ, Egorova D, Domcke W. Bath-induced correlations and relaxation of vibronic dimers. J Chem Phys 2012; 136:034507. [DOI: 10.1063/1.3676063] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Kreisbeck C, Kramer T, Rodríguez M, Hein B. High-Performance Solution of Hierarchical Equations of Motion for Studying Energy Transfer in Light-Harvesting Complexes. J Chem Theory Comput 2011; 7:2166-74. [PMID: 26606486 DOI: 10.1021/ct200126d] [Citation(s) in RCA: 144] [Impact Index Per Article: 11.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Excitonic models of light-harvesting complexes, where the vibrational degrees of freedom are treated as a bath, are commonly used to describe the motion of the electronic excitation through a molecule. Recent experiments point toward the possibility of memory effects in this process and require one to consider time nonlocal propagation techniques. The hierarchical equations of motion (HEOM) were proposed by Ishizaki and Fleming to describe the site-dependent reorganization dynamics of protein environments ( J. Chem. Phys. 2009 , 130 , 234111 ), which plays a significant role in photosynthetic electronic energy transfer. HEOM are often used as a reference for other approximate methods but have been implemented only for small systems due to their adverse computational scaling with the system size. Here, we show that HEOM are also solvable for larger systems, since the underlying algorithm is ideally suited for the usage of graphics processing units (GPU). The tremendous reduction in computational time due to the GPU allows us to perform a systematic study of the energy-transfer efficiency in the Fenna-Matthews-Olson (FMO) light-harvesting complex at physiological temperature under full consideration of memory effects. We find that approximative methods differ qualitatively and quantitatively from the HEOM results and discuss the importance of finite temperature to achieving high energy-transfer efficiencies.
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Affiliation(s)
- Christoph Kreisbeck
- Institut für Theoretische Physik, Universität Regensburg , 93040 Regensburg, Germany
| | - Tobias Kramer
- Institut für Theoretische Physik, Universität Regensburg , 93040 Regensburg, Germany
| | - Mirta Rodríguez
- Instituto de Estructura de la Materia CSIC , C/Serrano 121, 28006 Madrid, Spain
| | - Birgit Hein
- Institut für Theoretische Physik, Universität Regensburg , 93040 Regensburg, Germany
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23
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Briggs JS, Eisfeld A. Equivalence of quantum and classical coherence in electronic energy transfer. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 83:051911. [PMID: 21728575 DOI: 10.1103/physreve.83.051911] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/26/2010] [Indexed: 05/31/2023]
Abstract
To investigate the effect of quantum coherence on electronic energy transfer, which is the subject of current interest in photosynthesis, we solve the problem of transport for the simplest model of an aggregate of monomers interacting through dipole-dipole forces using both quantum and classical dynamics. We conclude that for realistic coupling strengths quantum and classical coherent transport are identical. This is demonstrated by numerical calculations for a linear chain and for the photosynthetic Fenna-Matthews-Olson complex.
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Affiliation(s)
- John S Briggs
- Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
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24
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Rodriguez JJ, Salam A. On the influence of nonlocal molecular vibrations and charge transfer on the spectra of aggregated push–pull chromophores. J Chem Phys 2011; 134:154512. [DOI: 10.1063/1.3580516] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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25
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Womick JM, Moran AM. Vibronic Enhancement of Exciton Sizes and Energy Transport in Photosynthetic Complexes. J Phys Chem B 2011; 115:1347-56. [DOI: 10.1021/jp106713q] [Citation(s) in RCA: 184] [Impact Index Per Article: 14.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Affiliation(s)
- Jordan M. Womick
- Department of Chemistry, The University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, United States
| | - Andrew M. Moran
- Department of Chemistry, The University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599, United States
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Pouthier V. Vibron phonon in a lattice of H-bonded peptide units: A criterion to discriminate between the weak and the strong coupling limit. J Chem Phys 2010; 132:035106. [PMID: 20095756 DOI: 10.1063/1.3297947] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023] Open
Abstract
Based on dynamical considerations, a simple and intuitive criterion is established to measure the strength of the vibron-phonon coupling in a lattice of H-bonded peptide units. The main idea is to compare separately the influence of both the vibron-phonon coupling and the dipole-dipole interaction on a specific element of the vibron reduced density matrix. This element, which refers to the coherence between the ground state and a local excited amide-I mode, generalizes the concept of survival amplitude at finite temperature. On the one hand, when the dipole-dipole interaction is neglected, it is shown that dephasing-limited coherent dynamics is induced by the vibron-phonon coupling. On the other hand, when the vibron-phonon coupling is disregarded, decoherence occurs due to dipole-dipole interactions since the local excited state couples with neighboring local excited states. Therefore, our criterion simply states that the strongest interaction is responsible for the fastest decoherence. It yields a critical coupling chi( *) approximately 25 pN at biological temperature.
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Affiliation(s)
- Vincent Pouthier
- Institut UTINAM, Université de Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France.
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