1
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Rode AJ, Arpin PC, Turner DB. Theoretical model of femtosecond coherence spectroscopy of vibronic excitons in molecular aggregates. J Chem Phys 2024; 160:164101. [PMID: 38647298 DOI: 10.1063/5.0200570] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2024] [Accepted: 04/03/2024] [Indexed: 04/25/2024] Open
Abstract
When used as pump pulses in transient absorption spectroscopy measurements, femtosecond laser pulses can produce oscillatory signals known as quantum beats. The quantum beats arise from coherent superpositions of the states of the sample and are best studied in the Fourier domain using Femtosecond Coherence Spectroscopy (FCS), which consists of one-dimensional amplitude and phase plots of a specified oscillation frequency as a function of the detection frequency. Prior works have shown ubiquitous amplitude nodes and π phase shifts in FCS from excited-state vibrational wavepackets in monomer samples. However, the FCS arising from vibronic-exciton states in molecular aggregates have not been studied theoretically. Here, we use a model of vibronic-exciton states in molecular dimers based on displaced harmonic oscillators to simulate FCS for dimers in two important cases. Simulations reveal distinct spectral signatures of excited-state vibronic-exciton coherences in molecular dimers that may be used to distinguish them from monomer vibrational coherences. A salient result is that, for certain relative orientations of the transition dipoles, the key resonance condition between the electronic coupling and the frequency of the vibrational mode may yield strong enhancement of the quantum-beat amplitude and, perhaps, also cause a significant decrease of the oscillation frequency to a value far lower than the vibrational frequency. Future studies using these results will lead to new insights into the excited-state coherences generated in photosynthetic pigment-protein complexes.
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Affiliation(s)
- Alexander J Rode
- Micron School for Materials Science and Engineering, Boise State University, Boise, Idaho 83725, USA
| | - Paul C Arpin
- Department of Physics, California State University, Chico, Chico, California 95929, USA
| | - Daniel B Turner
- Micron School for Materials Science and Engineering, Boise State University, Boise, Idaho 83725, USA
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2
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Timmer D, Gittinger M, Quenzel T, Stephan S, Zhang Y, Schumacher MF, Lützen A, Silies M, Tretiak S, Zhong JH, De Sio A, Lienau C. Plasmon mediated coherent population oscillations in molecular aggregates. Nat Commun 2023; 14:8035. [PMID: 38052786 DOI: 10.1038/s41467-023-43578-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2023] [Accepted: 11/14/2023] [Indexed: 12/07/2023] Open
Abstract
The strong coherent coupling of quantum emitters to vacuum fluctuations of the light field offers opportunities for manipulating the optical and transport properties of nanomaterials, with potential applications ranging from ultrasensitive all-optical switching to creating polariton condensates. Often, ubiquitous decoherence processes at ambient conditions limit these couplings to such short time scales that the quantum dynamics of the interacting system remains elusive. Prominent examples are strongly coupled exciton-plasmon systems, which, so far, have mostly been investigated by linear optical spectroscopy. Here, we use ultrafast two-dimensional electronic spectroscopy to probe the quantum dynamics of J-aggregate excitons collectively coupled to the spatially structured plasmonic fields of a gold nanoslit array. We observe rich coherent Rabi oscillation dynamics reflecting a plasmon-driven coherent exciton population transfer over mesoscopic distances at room temperature. This opens up new opportunities to manipulate the coherent transport of matter excitations by coupling to vacuum fields.
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Affiliation(s)
- Daniel Timmer
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany
| | - Moritz Gittinger
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany
| | - Thomas Quenzel
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany
| | - Sven Stephan
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany
- Institute for Lasers and Optics, University of Applied Sciences, Emden, Germany
| | - Yu Zhang
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA
| | - Marvin F Schumacher
- Kekulé-Institute for Organic Chemistry and Biochemistry, University of Bonn, Bonn, Germany
| | - Arne Lützen
- Kekulé-Institute for Organic Chemistry and Biochemistry, University of Bonn, Bonn, Germany
| | - Martin Silies
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany
- Institute for Lasers and Optics, University of Applied Sciences, Emden, Germany
| | - Sergei Tretiak
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA
| | - Jin-Hui Zhong
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany
- Department of Materials Science and Engineering, Southern University of Science and Technology, Guangdong, China
| | - Antonietta De Sio
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany
- Center for Nanoscale Dynamics (CeNaD), Carl von Ossietzky Universität, Oldenburg, Germany
| | - Christoph Lienau
- Institut für Physik, Carl von Ossietzky Universität, Oldenburg, Germany.
- Center for Nanoscale Dynamics (CeNaD), Carl von Ossietzky Universität, Oldenburg, Germany.
- Forschungszentrum Neurosensorik, Carl von Ossietzky Universität, Oldenburg, Germany.
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3
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Humphries BS, Green D, Borgh MO, Jones GA. Phonon Signatures in Photon Correlations. PHYSICAL REVIEW LETTERS 2023; 131:143601. [PMID: 37862651 DOI: 10.1103/physrevlett.131.143601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/02/2023] [Accepted: 08/21/2023] [Indexed: 10/22/2023]
Abstract
We show that the second-order, two-time correlation functions for phonons and photons emitted from a vibronic molecule in a thermal bath result in bunching and antibunching (a purely quantum effect), respectively. Signatures relating to phonon exchange with the environment are revealed in photon-photon correlations. We demonstrate that cross-correlation functions have a strong dependence on the order of detection giving insight into how phonon dynamics influences the emission of light. This work offers new opportunities to investigate quantum effects in condensed-phase molecular systems.
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Affiliation(s)
- Ben S Humphries
- School of Chemistry, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, United Kingdom
| | - Dale Green
- School of Chemistry, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, United Kingdom
| | - Magnus O Borgh
- Physics, Faculty of Science, University of East Anglia, Norwich NR4 7TJ, United Kingdom
| | - Garth A Jones
- School of Chemistry, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, United Kingdom
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4
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Troiani F. Vibrational response functions for multidimensional electronic spectroscopy in nonadiabatic models. J Chem Phys 2023; 158:054110. [PMID: 36754824 DOI: 10.1063/5.0129073] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
Abstract
The interplay of nuclear and electronic dynamics characterizes the multidimensional electronic spectra of various molecular and solid-state systems. Theoretically, the observable effect of such interplay can be accounted for by response functions. Here, we report analytical expressions for the response functions corresponding to a class of model systems. These are characterized by coupling between the diabatic electronic states and the vibrational degrees of freedom, resulting in linear displacements of the corresponding harmonic oscillators, and by nonadiabatic couplings between pairs of diabatic states. In order to derive the linear response functions, we first perform the Dyson expansion of the relevant propagators with respect to the nonadiabatic component of the Hamiltonian, then derive and expand with respect to the displacements the propagators at given interaction times, and finally provide analytical expressions for the time integrals that lead to the different contributions to the linear response function. The approach is then applied to the derivation of third-order response functions describing different physical processes: ground state bleaching, stimulated emission, excited state absorption, and double quantum coherence. Comparisons between the results obtained up to sixth order in the Dyson expansion and independent numerical calculation of the response functions provide evidence of the series convergence in a few representative cases.
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Affiliation(s)
- Filippo Troiani
- Centro S3, CNR-Istituto di Nanoscienze, I-41125 Modena, Italy
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5
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Gelin MF, Chen L, Domcke W. Equation-of-Motion Methods for the Calculation of Femtosecond Time-Resolved 4-Wave-Mixing and N-Wave-Mixing Signals. Chem Rev 2022; 122:17339-17396. [PMID: 36278801 DOI: 10.1021/acs.chemrev.2c00329] [Citation(s) in RCA: 20] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
Femtosecond nonlinear spectroscopy is the main tool for the time-resolved detection of photophysical and photochemical processes. Since most systems of chemical interest are rather complex, theoretical support is indispensable for the extraction of the intrinsic system dynamics from the detected spectroscopic responses. There exist two alternative theoretical formalisms for the calculation of spectroscopic signals, the nonlinear response-function (NRF) approach and the spectroscopic equation-of-motion (EOM) approach. In the NRF formalism, the system-field interaction is assumed to be sufficiently weak and is treated in lowest-order perturbation theory for each laser pulse interacting with the sample. The conceptual alternative to the NRF method is the extraction of the spectroscopic signals from the solutions of quantum mechanical, semiclassical, or quasiclassical EOMs which govern the time evolution of the material system interacting with the radiation field of the laser pulses. The NRF formalism and its applications to a broad range of material systems and spectroscopic signals have been comprehensively reviewed in the literature. This article provides a detailed review of the suite of EOM methods, including applications to 4-wave-mixing and N-wave-mixing signals detected with weak or strong fields. Under certain circumstances, the spectroscopic EOM methods may be more efficient than the NRF method for the computation of various nonlinear spectroscopic signals.
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Affiliation(s)
- Maxim F Gelin
- School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Lipeng Chen
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
| | - Wolfgang Domcke
- Department of Chemistry, Technical University of Munich, D-85747 Garching,Germany
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6
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Quintela Rodriguez FE, Troiani F. Vibrational response functions for multidimensional electronic spectroscopy in the adiabatic regime: A coherent-state approach. J Chem Phys 2022; 157:034107. [DOI: 10.1063/5.0094512] [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
Multi-dimensional spectroscopy represents a particularly insightful tool for investigating the interplay of nuclear and electronic dynamics, which plays an important role in a number of photophysical processes and photochemical reactions. Here, we present a coherent state representation of the vibronic dynamics and of the resulting response functions for the widely used linearly displaced harmonic oscillator model. Analytical expressions are initially derived for the case of third-order response functions in an N-level system, with ground state initialization of the oscillator (zero-temperature limit). The results are then generalized to the case of Mth order response functions, with arbitrary M. The formal derivation is translated into a simple recipe, whereby the explicit analytical expressions of the response functions can be derived directly from the Feynman diagrams. We further generalize to the whole set of initial coherent states, which form an overcomplete basis. This allows one, in principle, to derive the dependence of the response functions on arbitrary initial states of the vibrational modes and is here applied to the case of thermal states. Finally, a non-Hermitian Hamiltonian approach is used to include in the above expressions the effect of vibrational relaxation.
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Affiliation(s)
| | - Filippo Troiani
- Centro S3, CNR-Istituto di Nanoscienze, I-41125 Modena, Italy
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7
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Kim HW, Rhee YM. Two‐dimensional electronic spectrum simulation of simple photosynthetic complex models with semi‐classical Poisson bracket mapping equation. B KOREAN CHEM SOC 2022. [DOI: 10.1002/bkcs.12469] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
- Hyun Woo Kim
- Center for Molecular Modeling and Simulation, Korea Research Institute of Chemical Technology (KRICT) Daejeon South Korea
| | - Young Min Rhee
- Department of Chemistry Korea Advanced Institute of Science and Technology (KAIST) Daejeon South Korea
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8
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Mewes L, Ingle RA, Al Haddad A, Chergui M. Broadband visible two-dimensional spectroscopy of molecular dyes. J Chem Phys 2021; 155:034201. [PMID: 34293898 DOI: 10.1063/5.0053554] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Two-dimensional Fourier transform spectroscopy is a promising technique to study ultrafast molecular dynamics. Similar to transient absorption spectroscopy, a more complete picture of the dynamics requires broadband laser pulses to observe transient changes over a large enough bandwidth, exceeding the inhomogeneous width of electronic transitions, as well as the separation between the electronic or vibronic transitions of interest. Here, we present visible broadband 2D spectra of a series of dye molecules and report vibrational coherences with frequencies up to ∼1400 cm-1 that were obtained after improvements to our existing two-dimensional Fourier transform setup [Al Haddad et al., Opt. Lett. 40, 312-315 (2015)]. The experiment uses white light from a hollow core fiber, allowing us to acquire 2D spectra with a bandwidth of 200 nm, in a range between 500 and 800 nm, and with a temporal resolution of 10-15 fs. 2D spectra of nile blue, rhodamine 800, terylene diimide, and pinacyanol iodide show vibronic spectral features with at least one vibrational mode and reveal information about structural motion via coherent oscillations of the 2D signals during the population time. For the case of pinacyanol iodide, these observations are complemented by its Raman spectrum, as well as the calculated Raman activity at the ground- and excited-state geometry.
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Affiliation(s)
- Lars Mewes
- Laboratoire de Spectroscopie Ultrarapide and LACUS, Ecole Polytechnique Fédérale de Lausanne, ISIC, FSB-BSP, CH-1015 Lausanne, Switzerland
| | - Rebecca A Ingle
- Laboratoire de Spectroscopie Ultrarapide and LACUS, Ecole Polytechnique Fédérale de Lausanne, ISIC, FSB-BSP, CH-1015 Lausanne, Switzerland
| | - Andre Al Haddad
- Laboratoire de Spectroscopie Ultrarapide and LACUS, Ecole Polytechnique Fédérale de Lausanne, ISIC, FSB-BSP, CH-1015 Lausanne, Switzerland
| | - Majed Chergui
- Laboratoire de Spectroscopie Ultrarapide and LACUS, Ecole Polytechnique Fédérale de Lausanne, ISIC, FSB-BSP, CH-1015 Lausanne, Switzerland
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9
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Regarding expressions of the oscillatory patterns in the 2D spectra of a displaced oscillator model. Chem Phys 2021. [DOI: 10.1016/j.chemphys.2021.111142] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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10
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Wong MT, Cheng YC. A quantum Langevin equation approach for two-dimensional electronic spectra of coupled vibrational and electronic dynamics. J Chem Phys 2021; 154:154107. [PMID: 33887933 DOI: 10.1063/5.0042848] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We present an efficient method to simulate two-dimensional (2D) electronic spectra of condensed-phase systems with an emphasis on treating quantum nuclear wave packet dynamics explicitly. To this end, we combine a quantum Langevin equation (QLE) approach for dissipation and a perturbative scheme to calculate three-pulse photon-echo polarizations based on wave packet dynamics under the influence of external fields. The proposed dynamical approach provides a consistent description of nuclear quantum dynamics, pulse-overlap effects, and vibrational relaxation, enabling simulations of 2D electronic spectra with explicit and non-perturbative treatment of coupled electronic-nuclear dynamics. We apply the method to simulate 2D electronic spectra of a displaced-oscillator model in the condensed phase and discuss the spectral and temporal evolutions of 2D signals. Our results show that the proposed QLE approach is capable of describing vibrational relaxation, decoherence, and vibrational coherence transfer, as well as their manifestations in spectroscopic signals. Furthermore, vibrational quantum beats specific for excited-state vs ground-state nuclear wave packet dynamics can also be identified. We anticipate that this method will provide a useful tool to conduct theoretical studies of 2D spectroscopy for strong vibronically coupled systems and to elucidate intricate vibronic couplings in complex molecular systems.
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Affiliation(s)
- Man Tou Wong
- Department of Chemistry and Center for Quantum Science and Engineering, National Taiwan University, Taipei City 106, Taiwan
| | - Yuan-Chung Cheng
- Department of Chemistry and Center for Quantum Science and Engineering, National Taiwan University, Taipei City 106, Taiwan
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11
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De Sio A, Sommer E, Nguyen XT, Groß L, Popović D, Nebgen BT, Fernandez-Alberti S, Pittalis S, Rozzi CA, Molinari E, Mena-Osteritz E, Bäuerle P, Frauenheim T, Tretiak S, Lienau C. Intermolecular conical intersections in molecular aggregates. NATURE NANOTECHNOLOGY 2021; 16:63-68. [PMID: 33199882 DOI: 10.1038/s41565-020-00791-2] [Citation(s) in RCA: 17] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2020] [Accepted: 10/07/2020] [Indexed: 06/11/2023]
Abstract
Conical intersections (CoIns) of multidimensional potential energy surfaces are ubiquitous in nature and control pathways and yields of many photo-initiated intramolecular processes. Such topologies can be potentially involved in the energy transport in aggregated molecules or polymers but are yet to be uncovered. Here, using ultrafast two-dimensional electronic spectroscopy (2DES), we reveal the existence of intermolecular CoIns in molecular aggregates relevant for photovoltaics. Ultrafast, sub-10-fs 2DES tracks the coherent motion of a vibrational wave packet on an optically bright state and its abrupt transition into a dark state via a CoIn after only 40 fs. Non-adiabatic dynamics simulations identify an intermolecular CoIn as the source of these unusual dynamics. Our results indicate that intermolecular CoIns may effectively steer energy pathways in functional nanostructures for optoelectronics.
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Affiliation(s)
- Antonietta De Sio
- Institut für Physik and Center of Interface Science, Carl von Ossietzky Universität, Oldenburg, Germany.
| | - Ephraim Sommer
- Institut für Physik and Center of Interface Science, Carl von Ossietzky Universität, Oldenburg, Germany
| | - Xuan Trung Nguyen
- Institut für Physik and Center of Interface Science, Carl von Ossietzky Universität, Oldenburg, Germany
| | - Lynn Groß
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
| | - Duško Popović
- Institut für Organische Chemie II und Neue Materialien, Universität Ulm, Ulm, Germany
| | | | - Sebastian Fernandez-Alberti
- National University of Quilmes/CONICET, Department of Science and Technology, Bernal (B1876BXD), Buenos Aires Province, Argentina
| | | | | | - Elisa Molinari
- Istituto Nanoscienze-CNR, Modena, Italy
- Università di Modena e Reggio Emilia, Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Modena, Italy
| | - Elena Mena-Osteritz
- Institut für Organische Chemie II und Neue Materialien, Universität Ulm, Ulm, Germany
| | - Peter Bäuerle
- Institut für Organische Chemie II und Neue Materialien, Universität Ulm, Ulm, Germany
| | - Thomas Frauenheim
- Bremen Center for Computational Materials Science, University of Bremen, Bremen, Germany
- Computational Science Research Center, Beijing and Computational Science and Applied Research Institute Shenzhen, Shenzhen, China
| | - Sergei Tretiak
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA
| | - Christoph Lienau
- Institut für Physik and Center of Interface Science, Carl von Ossietzky Universität, Oldenburg, Germany
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12
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Provazza J, Segatta F, Coker DF. Modeling Nonperturbative Field-Driven Vibronic Dynamics: Selective State Preparation and Nonlinear Spectroscopy. J Chem Theory Comput 2020; 17:29-39. [DOI: 10.1021/acs.jctc.0c01035] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Justin Provazza
- Department of Chemistry, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, United States
| | - Francesco Segatta
- Department of Chemistry, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, United States
- Dipartimento di Chimica Industriale “Toso Montanari”, University of Bologna, Viale del Risorgimento, 4, 40136 Bologna, Italy
| | - David F. Coker
- Department of Chemistry, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, United States
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13
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Lu J, Lee Y, Anna JM. Extracting the Frequency-Dependent Dynamic Stokes Shift from Two-Dimensional Electronic Spectra with Prominent Vibrational Coherences. J Phys Chem B 2020; 124:8857-8867. [DOI: 10.1021/acs.jpcb.0c05522] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
Affiliation(s)
- Jiawei Lu
- University of Pennsylvania, 231 South 34 Street, Philadelphia, Pennsylvania 19104, United States
| | - Yumin Lee
- University of Pennsylvania, 231 South 34 Street, Philadelphia, Pennsylvania 19104, United States
| | - Jessica M. Anna
- University of Pennsylvania, 231 South 34 Street, Philadelphia, Pennsylvania 19104, United States
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14
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Yan Y, Liu Y, Xing T, Shi Q. Theoretical study of excitation energy transfer and nonlinear spectroscopy of photosynthetic light‐harvesting complexes using the nonperturbative reduced dynamics method. WIRES COMPUTATIONAL MOLECULAR SCIENCE 2020. [DOI: 10.1002/wcms.1498] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Affiliation(s)
- Yaming Yan
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species Institute of Chemistry, Chinese Academy of Sciences Beijing China
- University of Chinese Academy of Sciences Beijing China
- Physical Science Laboratory Huairou National Comprehensive Science Center Beijing China
| | - Yanying Liu
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species Institute of Chemistry, Chinese Academy of Sciences Beijing China
- University of Chinese Academy of Sciences Beijing China
- Physical Science Laboratory Huairou National Comprehensive Science Center Beijing China
| | - Tao Xing
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species Institute of Chemistry, Chinese Academy of Sciences Beijing China
- University of Chinese Academy of Sciences Beijing China
- Physical Science Laboratory Huairou National Comprehensive Science Center Beijing China
| | - Qiang Shi
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species Institute of Chemistry, Chinese Academy of Sciences Beijing China
- University of Chinese Academy of Sciences Beijing China
- Physical Science Laboratory Huairou National Comprehensive Science Center Beijing China
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15
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Sun K, Huang Z, Gelin MF, Chen L, Zhao Y. Monitoring of singlet fission via two-dimensional photon-echo and transient-absorption spectroscopy: Simulations by multiple Davydov trial states. J Chem Phys 2019; 151:114102. [DOI: 10.1063/1.5109251] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Kewei Sun
- School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Zhongkai Huang
- Division of Materials Science, Nanyang Technological University, Singapore 639798, Singapore
| | - Maxim F. Gelin
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
| | - Lipeng Chen
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
| | - Yang Zhao
- Division of Materials Science, Nanyang Technological University, Singapore 639798, Singapore
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16
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Petkov BK, Gellen TA, Farfan CA, Carbery WP, Hetzler BE, Trauner D, Li X, Glover WJ, Ulness DJ, Turner DB. Two-Dimensional Electronic Spectroscopy Reveals the Spectral Dynamics of Förster Resonance Energy Transfer. Chem 2019. [DOI: 10.1016/j.chempr.2019.05.005] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
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17
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Wehner J, Engel V. Stochastically correlated versus uncorrelated quantum-state diffusion dynamics in different electronic states: third-order polarizations and two-dimensional vibronic spectra. Chem Phys 2018. [DOI: 10.1016/j.chemphys.2018.08.042] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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18
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Green D, V A Camargo F, Heisler IA, Dijkstra AG, Jones GA. Spectral Filtering as a Tool for Two-Dimensional Spectroscopy: A Theoretical Model. J Phys Chem A 2018; 122:6206-6213. [PMID: 29985004 DOI: 10.1021/acs.jpca.8b03339] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Two-dimensional optical spectroscopy is a powerful technique for the probing of coherent quantum superpositions. Recently, the finite width of the laser spectrum has been employed to selectively tune experiments for the study of particular coherences. This involves the exclusion of certain transition frequencies, which results in the elimination of specific Liouville pathways. The rigorous analysis of such experiments requires the use of ever more sophisticated theoretical models for the optical spectroscopy of electronic and vibronic systems. Here we develop a nonimpulsive and non-Markovian model, which combines an explicit definition of the laser spectrum, via the equation of motion-phase matching approach (EOM-PMA), with the hierarchical equations of motion (HEOM). This theoretical framework is capable of simulating the 2D spectroscopy of vibronic systems with low frequency modes, coupled to environments of intermediate and slower time scales. In order to demonstrate the spectral filtering of vibronic coherences, we examine the elimination of lower energy peaks from the 2D spectra of a zinc porphyrin monomer upon blue-shifting the laser spectrum. The filtering of Liouville pathways is revealed through the disappearance of peaks from the amplitude spectra for a coupled vibrational mode.
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Affiliation(s)
- Dale Green
- School of Chemistry , University of East Anglia , Norwich Research Park, Norwich NR4 7TJ , U.K
| | - Franco V A Camargo
- School of Chemistry , University of East Anglia , Norwich Research Park, Norwich NR4 7TJ , U.K.,CAPES Foundation , Ministry of Education of Brazil , Brasilia DF 70040-202 , Brazil
| | - Ismael A Heisler
- School of Chemistry , University of East Anglia , Norwich Research Park, Norwich NR4 7TJ , U.K
| | | | - Garth A Jones
- School of Chemistry , University of East Anglia , Norwich Research Park, Norwich NR4 7TJ , U.K
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19
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Ke Y, Zhao Y. Calculations of coherent two-dimensional electronic spectra using forward and backward stochastic wavefunctions. J Chem Phys 2018; 149:014104. [DOI: 10.1063/1.5037684] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Affiliation(s)
- Yaling Ke
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, and Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, People’s Republic of China
| | - Yi Zhao
- State Key Laboratory of Physical Chemistry of Solid Surfaces, Collaborative Innovation Center of Chemistry for Energy Materials, and Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, People’s Republic of China
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20
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Leng X, Yan YM, Zhu RD, Song K, Weng YX, Shi Q. Simulation of the Two-Dimensional Electronic Spectroscopy and Energy Transfer Dynamics of Light-Harvesting Complex II at Ambient Temperature. J Phys Chem B 2018; 122:4642-4652. [DOI: 10.1021/acs.jpcb.8b00674] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Xuan Leng
- Beijing National Laboratory for Condensed Matter Physics, CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Ya-Ming Yan
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species, CAS Research/Education Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Rui-Dan Zhu
- Beijing National Laboratory for Condensed Matter Physics, CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Kai Song
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species, CAS Research/Education Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Yu-Xiang Weng
- Beijing National Laboratory for Condensed Matter Physics, CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
| | - Qiang Shi
- Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species, CAS Research/Education Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China
- University of Chinese Academy of Sciences, Beijing 100049, China
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21
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Segarra-Martí J, Zvereva E, Marazzi M, Brazard J, Dumont E, Assfeld X, Haacke S, Garavelli M, Monari A, Léonard J, Rivalta I. Resolving the Singlet Excited State Manifold of Benzophenone by First-Principles Simulations and Ultrafast Spectroscopy. J Chem Theory Comput 2018; 14:2570-2585. [DOI: 10.1021/acs.jctc.7b01208] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Javier Segarra-Martí
- Université de Lyon, École Normale Supérieure de Lyon, CNRS, Université Claude Bernard Lyon 1, Laboratoire de Chimie UMR 5182, F-69342, Lyon, France
| | - Elena Zvereva
- Université de Lorraine and CNRS, LPCT UMR 7019, 54000, Nancy, France
- A. E. Arbuzov Institute of Organic and Physical Chemistry, Kazan Scientific CentreRussian Academy of Sciences, Arbuzov str. 8, 420088 Kazan, Russia
| | - Marco Marazzi
- Université de Lorraine and CNRS, LPCT UMR 7019, 54000, Nancy, France
| | - Johanna Brazard
- Université de Strasbourg, CNRS, Institut de Physique et Chimie des Matériaux de Strasbourg and Labex NIE, UMR 7504, F-67000 Strasbourg, France
| | - Elise Dumont
- Université de Lyon, École Normale Supérieure de Lyon, CNRS, Université Claude Bernard Lyon 1, Laboratoire de Chimie UMR 5182, F-69342, Lyon, France
| | - Xavier Assfeld
- Université de Lorraine and CNRS, LPCT UMR 7019, 54000, Nancy, France
| | - Stefan Haacke
- Université de Strasbourg, CNRS, Institut de Physique et Chimie des Matériaux de Strasbourg and Labex NIE, UMR 7504, F-67000 Strasbourg, France
| | - Marco Garavelli
- Dipartimento di Chimica Industriale “Toso Montanari”, Università di Bologna, Viale del Risorgimento 4, I-40136 Bologna, Italy
| | - Antonio Monari
- Université de Lorraine and CNRS, LPCT UMR 7019, 54000, Nancy, France
| | - Jérémie Léonard
- Université de Strasbourg, CNRS, Institut de Physique et Chimie des Matériaux de Strasbourg and Labex NIE, UMR 7504, F-67000 Strasbourg, France
| | - Ivan Rivalta
- Université de Lyon, École Normale Supérieure de Lyon, CNRS, Université Claude Bernard Lyon 1, Laboratoire de Chimie UMR 5182, F-69342, Lyon, France
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22
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The highly excited-state manifold of guanine: calibration for nonlinear electronic spectroscopy simulations. Theor Chem Acc 2018. [DOI: 10.1007/s00214-018-2225-0] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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23
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Sun KW, Yao Y. Beating maps of singlet fission: Simulation of coherent two-dimensional electronic spectroscopy by Davydov ansatz in organic molecules. J Chem Phys 2017; 147:224905. [DOI: 10.1063/1.5005564] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Ke-Wei Sun
- School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Yao Yao
- Department of Physics, South China University of Technology, Guangzhou 510640, China
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24
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De Sio A, Lienau C. Vibronic coupling in organic semiconductors for photovoltaics. Phys Chem Chem Phys 2017; 19:18813-18830. [DOI: 10.1039/c7cp03007j] [Citation(s) in RCA: 57] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
Ultrafast two-dimensional electronic spectroscopy reveals vibronically-assisted coherent charge transport and separation in organic materials and opens up new perspectives for artificial light-to-current conversion.
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Affiliation(s)
- Antonietta De Sio
- Institut für Physik and Center of Interface Science
- Carl von Ossietzky Universität
- Oldenburg 26129
- Germany
| | - Christoph Lienau
- Institut für Physik and Center of Interface Science
- Carl von Ossietzky Universität
- Oldenburg 26129
- Germany
- Research Center Neurosensory Science
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25
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26
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Sala M, Egorova D. Two-dimensional photon-echo spectroscopy at a conical intersection: A two-mode pyrazine model with dissipation. Chem Phys 2016. [DOI: 10.1016/j.chemphys.2016.08.034] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
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27
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Keß M, Worth G, Engel V. Two-dimensional vibronic spectroscopy of molecular aggregates: Trimers, dimers, and monomers. J Chem Phys 2016; 145:084305. [DOI: 10.1063/1.4961388] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
Affiliation(s)
- M. Keß
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - G. Worth
- School of Chemistry, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - V. Engel
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
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28
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Dijkstra AG, Tanimura Y. Linear and third- and fifth-order nonlinear spectroscopies of a charge transfer system coupled to an underdamped vibration. J Chem Phys 2016; 142:212423. [PMID: 26049443 DOI: 10.1063/1.4917025] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We study hole, electron, and exciton transports in a charge transfer system in the presence of underdamped vibrational motion. We analyze the signature of these processes in the linear and third-, and fifth-order nonlinear electronic spectra. Calculations are performed with a numerically exact hierarchical equations of motion method for an underdamped Brownian oscillator spectral density. We find that combining electron, hole, and exciton transfers can lead to non-trivial spectra with more structure than with excitonic coupling alone. Traces taken during the waiting time of a two-dimensional (2D) spectrum are dominated by vibrational motion and do not reflect the electron, hole, and exciton dynamics directly. We find that the fifth-order nonlinear response is particularly sensitive to the charge transfer process. While third-order 2D spectroscopy detects the correlation between two coherences, fifth-order 2D spectroscopy (2D population spectroscopy) is here designed to detect correlations between the excited states during two different time periods.
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Affiliation(s)
- Arend G Dijkstra
- Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany
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29
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Wehner J, Engel V. Two-dimensional optical spectroscopy of homo- and heterodimers. Phys Chem Chem Phys 2016; 18:32910-32920. [DOI: 10.1039/c6cp04936b] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We theoretically study the two-dimensional (2D) spectroscopy of molecular dimers.
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Affiliation(s)
- Johannes Wehner
- Universität Würzburg
- Institut für Physikalische und Theoretische Chemie
- 97074 Würzburg
- Germany
| | - Volker Engel
- Universität Würzburg
- Institut für Physikalische und Theoretische Chemie
- 97074 Würzburg
- Germany
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30
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Flanagan ML, Long PD, Dahlberg PD, Rolczynski BS, Massey SC, Engel GS. Mutations to R. sphaeroides Reaction Center Perturb Energy Levels and Vibronic Coupling but Not Observed Energy Transfer Rates. J Phys Chem A 2015; 120:1479-87. [PMID: 26630123 DOI: 10.1021/acs.jpca.5b08366] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The bacterial reaction center is capable of both efficiently collecting and quickly transferring energy within the complex; therefore, the reaction center serves as a convenient model for both energy transfer and charge separation. To spectroscopically probe the interactions between the electronic excited states on the chromophores and their intricate relationship with vibrational motions in their environment, we examine coherences between the excited states. Here, we investigate this question by introducing a series of point mutations within 12 Å of the special pair of bacteriochlorophylls in the Rhodobacter sphaeroides reaction center. Using two-dimensional spectroscopy, we find that the time scales of energy transfer dynamics remain unperturbed by these mutations. However, within these spectra, we detect changes in the mixed vibrational-electronic coherences in these reaction centers. Our results indicate that resonance between bacteriochlorophyll vibrational modes and excitonic energy gaps promote electronic coherences and support current vibronic models of photosynthetic energy transfer.
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Affiliation(s)
| | | | | | - Brian S Rolczynski
- Department of Chemistry, The James Franck Institute and The Institute for Biophysical Dynamics, The University of Chicago , Chicago, Illinois 60637, United States
| | - Sara C Massey
- Department of Chemistry, The James Franck Institute and The Institute for Biophysical Dynamics, The University of Chicago , Chicago, Illinois 60637, United States
| | - Gregory S Engel
- Department of Chemistry, The James Franck Institute and The Institute for Biophysical Dynamics, The University of Chicago , Chicago, Illinois 60637, United States
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31
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Krčmář J, Gelin MF, Domcke W. Simulation of femtosecond two-dimensional electronic spectra of conical intersections. J Chem Phys 2015; 143:074308. [PMID: 26298135 DOI: 10.1063/1.4928685] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have simulated femtosecond two-dimensional (2D) electronic spectra for an excited-state conical intersection using the wave-function version of the equation-of-motion phase-matching approach. We show that 2D spectra at fixed values of the waiting time provide information on the structure of the vibronic eigenstates of the conical intersection, while the evolution of the spectra with the waiting time reveals predominantly ground-state wave-packet dynamics. The results show that 2D spectra of conical intersection systems differ significantly from those obtained for chromophores with well separated excited-state potential-energy surfaces. The spectral signatures which can be attributed to conical intersections are discussed.
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Affiliation(s)
- Jindřich Krčmář
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
| | - Maxim F Gelin
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
| | - Wolfgang Domcke
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
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32
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Bizimana LA, Brazard J, Carbery WP, Gellen T, Turner DB. Resolving molecular vibronic structure using high-sensitivity two-dimensional electronic spectroscopy. J Chem Phys 2015; 143:164203. [DOI: 10.1063/1.4934717] [Citation(s) in RCA: 45] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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33
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Albert J, Falge M, Gomez S, Sola IR, Hildenbrand H, Engel V. Communication: Vibrational and vibronic coherences in the two dimensional spectroscopy of coupled electron-nuclear motion. J Chem Phys 2015; 143:041102. [DOI: 10.1063/1.4927396] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
Affiliation(s)
- Julian Albert
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
| | - Mirjam Falge
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
| | - Sandra Gomez
- Departamento de Quimica Fisica, Universidad Complutense, 28040 Madrid, Spain
| | - Ignacio R. Sola
- Departamento de Quimica Fisica, Universidad Complutense, 28040 Madrid, Spain
| | - Heiko Hildenbrand
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
| | - Volker Engel
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
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34
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Ulness DJ, Turner DB. Lineshape analysis of coherent multidimensional optical spectroscopy using incoherent light. J Chem Phys 2015; 142:212420. [DOI: 10.1063/1.4917320] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
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35
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Albert J, Falge M, Keß M, Wehner JG, Zhang PP, Eisfeld A, Engel V. Extended quantum jump description of vibronic two-dimensional spectroscopy. J Chem Phys 2015; 142:212440. [DOI: 10.1063/1.4919870] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Julian Albert
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Mirjam Falge
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Martin Keß
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Johannes G. Wehner
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Pan-Pan Zhang
- Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer St. 38, D-01187 Dresden, Germany
| | - Alexander Eisfeld
- Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer St. 38, D-01187 Dresden, Germany
| | - Volker Engel
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
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36
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Wehner J, Falge M, Strunz WT, Engel V. Quantum diffusion wave-function approach to two-dimensional vibronic spectroscopy. J Chem Phys 2014; 141:134306. [PMID: 25296805 DOI: 10.1063/1.4896705] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We apply the quantum diffusion wavefunction approach to calculate vibronic two-dimensional (2D) spectra. As an example, we use a system consisting of two electronic states with harmonic oscillator potentials which are coupled to a bath and interact with three time-delayed laser pulses. The first- and second-order perturbative wave functions which enter into the expression for the third-order polarization are determined for a sufficient number of stochastic runs. The wave-packet approach, besides being an alternative technique to calculate the spectra, offers an intuitive insight into the dissipation dynamics and its relation to the 2D vibronic spectra.
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Affiliation(s)
- Johannes Wehner
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Hubland Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Mirjam Falge
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Hubland Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Walter T Strunz
- Institut für Theoretische Physik, TU Dresden, 01062 Dresden, Germany
| | - Volker Engel
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Hubland Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
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37
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Seibt J, Pullerits T. Combined treatment of relaxation and fluctuation dynamics in the calculation of two-dimensional electronic spectra. J Chem Phys 2014; 141:114106. [DOI: 10.1063/1.4895401] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
Affiliation(s)
- Joachim Seibt
- Department of Chemical Physics, Lund University, Box 124, SE-2100 Lund, Sweden
| | - Tõnu Pullerits
- Department of Chemical Physics, Lund University, Box 124, SE-2100 Lund, Sweden
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38
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Huynh TD, Sun KW, Gelin M, Zhao Y. Polaron dynamics in two-dimensional photon-echo spectroscopy of molecular rings. J Chem Phys 2014; 139:104103. [PMID: 24050324 DOI: 10.1063/1.4820135] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have developed a new approach to the computation of third-order spectroscopic signals of molecular rings, by incorporating the Davydov soliton theory into the nonlinear response function formalism. The Davydov D1 and D Ansätze have been employed to treat the interactions between the excitons and the primary phonons, allowing for a full description of arbitrary exciton-phonon coupling strengths. As an illustration, we have simulated a series of optical 2D spectra for two models of molecular rings.
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Affiliation(s)
- Thanh Duc Huynh
- School of Materials Science and Engineering, Nanyang Technological University, Singapore 639798
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39
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Egorova D. Oscillations in two-dimensional photon-echo signals of excitonic and vibronic systems: Stick-spectrum analysis and its computational verification. J Chem Phys 2014; 140:034314. [DOI: 10.1063/1.4861634] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Sharp LZ, Egorova D. Towards microscopic assignment of oscillative signatures in two-dimensional electronic photon-echo signals of vibronic oligomers: A vibronic dimer model. J Chem Phys 2013; 139:144304. [DOI: 10.1063/1.4822425] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
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41
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Krčmář J, Gelin MF, Domcke W. Calculation of third-order signals via driven Schrödinger equations: General results and application to electronic 2D photon echo spectroscopy. Chem Phys 2013. [DOI: 10.1016/j.chemphys.2013.01.002] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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42
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Seibt J, Hansen T, Pullerits T. 3D Spectroscopy of Vibrational Coherences in Quantum Dots: Theory. J Phys Chem B 2013; 117:11124-33. [DOI: 10.1021/jp4011444] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Joachim Seibt
- Department
of Chemical Physics, Lund University, Box
124, SE-21000, Lund, Sweden
| | - Thorsten Hansen
- Department
of Chemical Physics, Lund University, Box
124, SE-21000, Lund, Sweden
| | - Tõnu Pullerits
- Department
of Chemical Physics, Lund University, Box
124, SE-21000, Lund, Sweden
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43
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Fransted KA, Engel GS. Probing vibrational dynamics of PM650 with two-dimensional electronic spectroscopy. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2012.05.008] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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44
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Yuen-Zhou J, Krich JJ, Aspuru-Guzik A. A witness for coherent electronic vs vibronic-only oscillations in ultrafast spectroscopy. J Chem Phys 2012; 136:234501. [DOI: 10.1063/1.4725498] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
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45
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Bixner O, Lukeš V, Mančal T, Hauer J, Milota F, Fischer M, Pugliesi I, Bradler M, Schmid W, Riedle E, Kauffmann HF, Christensson N. Ultrafast photo-induced charge transfer unveiled by two-dimensional electronic spectroscopy. J Chem Phys 2012; 136:204503. [DOI: 10.1063/1.4720492] [Citation(s) in RCA: 47] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
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46
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Schubert A, Engel V. Two-dimensional vibronic spectroscopy of coherent wave-packet motion. J Chem Phys 2012; 134:104304. [PMID: 21405162 DOI: 10.1063/1.3560165] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We theoretically study two-dimensional (2D) spectroscopic signals obtained from femtosecond pulse interactions with diatomic molecules. The vibrational wave-packet dynamics is monitored in the signals. During the motion in anharmonic potentials the wave packets exhibit vibrational revivals and fractional revivals which are associated with particular quantum phases. The time-dependent phase changes are identified by inspection of the complex-valued 2D spectra. We use the Na(2) molecule as a numerical example and discuss various pulse sequences which yield information about vibrational level structure and phase relationships in different electronic states.
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Affiliation(s)
- Alexander Schubert
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Würzburg, Germany
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47
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Abstract
Abstract
We theoretically study interference effects in two-dimensional (2D) vibronic spectra which arise from two electronically excited states taking part in the multi-photon process initiated by femtosecond laser pulses. Therefore, a model is employed which mimiques the situation encountered in many halogen and interhalogen molecules. There, upon excitation from the ground state, an excited bound state and a dissociative state exist which are close in energy. We demonstrate that the different pathways to final states which enter into the third-order polarization result in pronounced interference patterns in the 2D-spectra.
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Affiliation(s)
- Alexander Schubert
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Würzburg, Deutschland
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48
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Chen L, Zheng R, Jing Y, Shi Q. Simulation of the two-dimensional electronic spectra of the Fenna-Matthews-Olson complex using the hierarchical equations of motion method. J Chem Phys 2011; 134:194508. [DOI: 10.1063/1.3589982] [Citation(s) in RCA: 87] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023] Open
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49
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50
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Christensson N, Milota F, Hauer J, Sperling J, Bixner O, Nemeth A, Kauffmann HF. High frequency vibrational modulations in two-dimensional electronic spectra and their resemblance to electronic coherence signatures. J Phys Chem B 2011; 115:5383-91. [PMID: 21329370 DOI: 10.1021/jp109442b] [Citation(s) in RCA: 92] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Abstract
In this work we analyze how nuclear coherences modulate diagonal and off-diagonal peaks in two-dimensional electronic spectroscopy. 2D electronic spectra of pinacyanol chloride are measured with 8 fs pulses, which allows coherent excitation of the 1300 cm(-1) vibrational mode. The 2D spectrum reveals both diagonal and off-diagonal peaks related to the vibrational mode. On early time scales, up to 30 fs, coherent dynamics give rise to oscillations in the amplitudes, positions, and shapes of the peaks in the 2D spectrum. We find an anticorrelation between the amplitude and the diagonal width of the two diagonal peaks. The measured data are reproduced with a model incorporating a high frequency mode coupled to an electronic two-level-system. Our results show that these anticorrelated oscillations occur for vibrational wavepackets and not exclusively for electronic coherences as has been assumed previously.
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Affiliation(s)
- N Christensson
- Electronic Properties of Materials, Faculty of Physics, University of Vienna, Strudlhofgasse 4, 1090 Vienna, Austria
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