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On the adequacy of the Redfield equation and related approaches to the study of quantum dynamics in electronic energy transfer
Abstract
The observation of long-lived electronic coherence in photosynthetic excitation energy transfer (EET) by Engel et al. [Nature (London) 446, 782 (2007)] raises questions about the role of the protein environment in protecting this coherence and the significance of the quantum coherence in light harvesting efficiency. In this paper we explore the applicability of the Redfield equation in its full form, in the secular approximation and with neglect of the imaginary part of the relaxation terms for the study of these phenomena. We find that none of the methods can give a reliable picture of the role of the environment in photosynthetic EET. In particular the popular secular approximation (or the corresponding Lindblad equation) produces anomalous behavior in the incoherent transfer region leading to overestimation of the contribution of environment-assisted transfer. The full Redfield expression on the other hand produces environment-independent dynamics in the large reorganization energy region. A companion paper presents an improved approach, which corrects these deficiencies [A. Ishizaki and G. R. Fleming, J. Chem. Phys. 130, 234111 (2009)].
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“This is particularly the case when considering interacting many-body systems, where the subsystem's coupling strength may be comparable to the coupling to the bath [4].”
From Entanglement and Non-Markovianity of Quantum Evolutions (2010) · cites this paper as [4]
Citations
Cites
Zwischenmolekulare Energiewanderung und Fluoreszenz
Förster, T. (1948) · Annalen der Physik · doi:10.1002/andp.19484370105 · Cited by 8,285
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
Principles of Magnetic Resonance
Slichter, C. P. (1990) · Springer Series in Solid-State Sciences · doi:10.1007/978-3-662-09441-9 · Cited by 5,520
Principles of Nonlinear Optical Spectroscopy
Mukamel, S. (1995) · Cited by 4,640
Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems
Engel, G. S., Calhoun, T. R., Read, E. L., Ahn, T.-K., Mančal, T., Cheng, Y.-C., Blankenship, R. E., & Fleming, G. R. (2007) · Nature · doi:10.1038/nature05678 · Cited by 3,315
Self-citationMolecular mechanisms of photosynthesis
Blankenship, R. E. (2002) · Wiley eBooks · doi:10.1002/9780470758472 · Cited by 2,291
On the Theory of Relaxation Processes
Redfield, A. G. (1957) · IBM Journal of Research and Development · doi:10.1147/rd.11.0019 · Cited by 1,821
The Theory of Relaxation Processes
Redfield, A. G. (1965) · Advances in magnetic and optical resonance · doi:10.1016/b978-1-4832-3114-3.50007-6 · Cited by 1,542
Nonequilibrium Statistical Mechanics
Zwanzig, R. W. (1990) · doi:10.1142/1009 · Cited by 1,398
The Evaluation of the Collision Matrix
Wick, G. C. (1950) · Physical Review · doi:10.1103/physrev.80.268 · Cited by 1,323
Two-dimensional spectroscopy of electronic couplings in photosynthesis
Brixner, T., Stenger, J., Vaswani, H. M., Cho, M., Blankenship, R. E., & Fleming, G. R. (2005) · Nature · doi:10.1038/nature03429 · Cited by 1,241
Self-citationTwo-Dimensional Femtosecond Spectroscopy
Jonas, D. M. (2003) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.54.011002.103907 · Cited by 1,198
Coherence Dynamics in Photosynthesis: Protein Protection of Excitonic Coherence
Lee, H., Cheng, Y., & Fleming, G. R. (2007) · Science · doi:10.1126/science.1142188 · Cited by 1,060
Self-citationCharge and Energy Transfer Dynamics in Molecular Systems
Kühn, O., & May, V. (2023) · Wiley eBooks · doi:10.1002/9783527696277 · Cited by 987
Tanimura, Y. (2006) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.75.082001 · Cited by 891
Environment-assisted quantum transport
Rebentrost, P., Mohseni, M., Kassal, I., Lloyd, S., & Aspuru-Guzik, A. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/3/033003 · Cited by 817
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155372 · Cited by 734
Self-citationChlorophyll arrangement in a bacteriochlorophyll protein from Chlorobium limicola
Fenna, R. E., & Matthews, B. W. (1975) · Nature · doi:10.1038/258573a0 · Cited by 557
Phase-stabilized two-dimensional electronic spectroscopy
Brixner, T., Mančal, T., Stiopkin, I. V., & Fleming, G. R. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1776112 · Cited by 524
Self-citationEnvironment-Assisted Quantum Transport
Rebentrost, P., Mohseni, M., Kassal, I., Lloyd, S., & Aspuru‐Guzik, A. (2008) · Digital Access to Scholarship at Harvard (DASH) (Harvard University) · Cited by 512
An exactly solvable model for coherent and incoherent exciton motion
Haken, H., & Strobl, G. (1973) · Zeitschrift für Physik A Hadrons and Nuclei · doi:10.1007/bf01399723 · Cited by 479
Variational calculation of the dynamics of a two level system interacting with a bath
Silbey, R., & Harris, R. A. (1984) · The Journal of Chemical Physics · doi:10.1063/1.447055 · Cited by 469
Energy transfer in photosynthesis: experimental insights and quantitative models
van Grondelle, R., & Novoderezhkin, V. I. (2005) · Physical Chemistry Chemical Physics · doi:10.1039/b514032c · Cited by 457
Exciton Analysis in 2D Electronic Spectroscopy
Cho, M., Vaswani, H. M., Brixner, T., Stenger, J., & Fleming, G. R. (2005) · The Journal of Physical Chemistry B · doi:10.1021/jp050788d · Cited by 428
Self-citationUltrafast excitation energy transfer dynamics in photosynthetic pigment–protein complexes
Renger, T., May, V., & Kühn, O. (2001) · Physics Reports · doi:10.1016/s0370-1573(00)00078-8 · Cited by 413
Zhang, W.-M., Meier, T., Chernyak, V., & Mukamel, S. (1998) · The Journal of Chemical Physics · doi:10.1063/1.476212 · Cited by 413
Multichromophoric Förster Resonance Energy Transfer
Jang, S., Newton, M. D., & Silbey, R. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.218301 · Cited by 387
Theory of Spin Resonance and Relaxation
Argyres, P. N., & Kelley, P. L. (1964) · Physical Review · doi:10.1103/physrev.134.a98 · Cited by 335
Theory of coherent resonance energy transfer
Jang, S., Cheng, Y., Reichman, D. R., & Eaves, J. D. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2977974 · Cited by 292
Application of a multilevel Redfield theory to electron transfer in condensed phases
Jean, J. M., Friesner, R. A., & Fleming, G. R. (1992) · The Journal of Chemical Physics · doi:10.1063/1.462858 · Cited by 291
Self-citationSolution of the Redfield equation for the dissipative quantum dynamics of multilevel systems
Pollard, W. T., & Friesner, R. A. (1994) · The Journal of Chemical Physics · doi:10.1063/1.467222 · Cited by 277
Memory effects in the relaxation of quantum open systems
Suárez, A., Silbey, R., & Oppenheim, I. (1992) · The Journal of Chemical Physics · doi:10.1063/1.463831 · Cited by 258
Electronic Energy Transfer in Molecular Crystals
Silbey, R. (1976) · Annual Review of Physical Chemistry · doi:10.1146/annurev.pc.27.100176.001223 · Cited by 257
Yang, M., & Fleming, G. R. (2002) · Chemical Physics · doi:10.1016/s0301-0104(01)00540-7 · Cited by 236
Self-citationCrystal structure of the bacteriochlorophyll a protein from Chlorobium tepidum 1 1Edited by R. Huber
Li, Y.-F., Zhou, W., Blankenship, R. E., & Allen, J. P. (1997) · Journal of Molecular Biology · doi:10.1006/jmbi.1997.1189 · Cited by 198
Kühn, O., & Sundström, V. (1997) · The Journal of Chemical Physics · doi:10.1063/1.474803 · Cited by 177
Competition between energy and phase relaxation in electronic curve crossing processes
Jean, J. M., & Fleming, G. R. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469684 · Cited by 160
Self-citationCoherence in the B800 Ring of Purple Bacteria LH2
Cheng, Y., & Silbey, R. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.028103 · Cited by 154
Harris, R. A., & Silbey, R. (1985) · The Journal of Chemical Physics · doi:10.1063/1.449469 · Cited by 152
Electronic energy transfer in impure solids
Rackovsky, S. R., & Silbey, R. (1973) · Molecular Physics · doi:10.1080/00268977300100081 · Cited by 141
Jeener, J., Vlassenbroek, A., & Broekaert, P. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469808 · Cited by 141
Vulto, S. I. E., de Baat, M. A., Louwe, R., Permentier, H. P., Neef, T., Miller, M., van Amerongen, H., & Aartsma, T. J. (1998) · The Journal of Physical Chemistry B · doi:10.1021/jp982095l · Cited by 139
Multilevel Redfield description of the dissipative dynamics at conical intersections
Kühl, A., & Domcke, W. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1423326 · Cited by 130
Novoderezhkin, V. I., Yakovlev, A. G., van Grondelle, R., & Shuvalov, V. A. (2004) · The Journal of Physical Chemistry B · doi:10.1021/jp0373346 · Cited by 130
Ishizaki, A., & Tanimura, Y. (2007) · Chemical Physics · doi:10.1016/j.chemphys.2007.10.037 · Cited by 112
Self-citationEgorova, D., Kühl, A., & Domcke, W. (2001) · Chemical Physics · doi:10.1016/s0301-0104(01)00293-2 · Cited by 109
Dissipative vibrational dynamics in a curve–crossing system
Kühn, O., May, V., & Schreiber, M. (1994) · The Journal of Chemical Physics · doi:10.1063/1.467921 · Cited by 99
Vulto, S. I. E., de Baat, M. A., Neerken, S., Nowak, F. R., van Amerongen, H., Amesz, J., & Aartsma, T. J. (1999) · The Journal of Physical Chemistry B · doi:10.1021/jp984702a · Cited by 98
Exciton Equilibration Induced by Phonons: Theory and Application to PS II Reaction Centers
Leegwater, J. A., Durrant, J. R., & Klug, D. R. (1997) · The Journal of Physical Chemistry B · doi:10.1021/jp9634058 · Cited by 96
Kühn, O., & Sundström, V. (1997) · The Journal of Physical Chemistry B · doi:10.1021/jp9634114 · Cited by 88
On the relaxation of a two-level system: Beyond the weak-coupling approximation
Reichman, D. R., & Silbey, R. (1996) · The Journal of Chemical Physics · doi:10.1063/1.470916 · Cited by 83
Fluorescence depolarization dynamics in the B850 complex of purple bacteria
Kühn, O., Sundström, V., & Pullerits, T. (2002) · Chemical Physics · doi:10.1016/s0301-0104(01)00526-2 · Cited by 81
Energy transfer and spectral line shapes of impurities in crystals
Abram, I. I., & Silbey, R. (1975) · The Journal of Chemical Physics · doi:10.1063/1.431683 · Cited by 60
Markovian Approximation in the Relaxation of Open Quantum Systems
Cheng, Y., & Silbey, R. (2005) · The Journal of Physical Chemistry B · doi:10.1021/jp051303o · Cited by 59
Mechanism of a photochemical funnel: a dissipative wave-packet dynamics study
Strodel, B., Hahn, S., & Stock, G. (2003) · Chemical Physics Letters · doi:10.1016/j.cplett.2003.08.052 · Cited by 48
Ohtsuki, Y., & Fujimura, Y. (1989) · The Journal of Chemical Physics · doi:10.1063/1.456822 · Cited by 46
Redfield theory is quantitative for coupled harmonic oscillators
Walsh, A., & Coalson, R. D. (1992) · Chemical Physics Letters · doi:10.1016/0009-2614(92)85054-e · Cited by 45
Effect of a dissipative environment on the dynamics at a conical intersection
Kühl, A., & Domcke, W. (2000) · Chemical Physics · doi:10.1016/s0301-0104(00)00199-3 · Cited by 34
Model for primary charge separation in reaction centers of photosynthetic bacteria
Friesner, R. A., & Wertheimer, R. (1982) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.79.6.2138 · Cited by 30
Flagged first, then by citations
Research works printed but not linked: 2
- 2000, Photosynthetic Excitons
- Sinanoğlu, 1965, Modern Quantum Chemistry Part III, 93
Cited by
Sorted by citations
Entanglement and Non-Markovianity of Quantum Evolutions
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.050403 · Cited by 1,037
Control of quantum phenomena: past, present and future
Brif, C., Chakrabarti, R., & Rabitz, H. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/7/075008 · Cited by 950
Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature
Ishizaki, A., & Fleming, G. R. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0908989106 · Cited by 891
Self-citationIshizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155372 · Cited by 734
Self-citationQuantum entanglement in photosynthetic light-harvesting complexes
Sarovar, M., Ishizaki, A., Fleming, G. R., & Whaley, K. B. (2010) · Nature Physics · doi:10.1038/nphys1652 · Cited by 644
Self-citation
Metadata
- Authors
- Ishizaki, A., & Fleming, G. R.
- Affiliations
- Lawrence Berkeley National Laboratory (US)
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2009-06-18
- Volume
- 130
- Issue
- 23
- Pages
- 234110-234110
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2009237413
- Cited by
- 430
- References
- 60
- Citations by year
- 2026: 15 · 2025: 19 · 2024: 18 · 2023: 9 · 2022: 21 · 2021: 17 · 2020: 21 · 2019: 32 · 2018: 19 · 2017: 23 · 2016: 22 · 2015: 31 · 2014: 36 · 2013: 25 · 2012: 39
- FWCI
- 22.64
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The Journal of Chemical Physics (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Spectroscopy and Quantum Chemical Studies
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Photochemistry and Electron Transfer Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Keywords
- Redfield equation, excitation energy transfer, photosynthetic light harvesting, quantum coherence, secular approximation, Lindblad master equation, reorganization energy, protein environment, quantum dynamics
- MeSH terms
- Computer Simulation, Electrons, Energy Transfer, Models, Chemical, Quantum Theory
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