Unified treatment of quantum coherent and incoherent hopping dynamics in electronic energy transfer: Reduced hierarchy equation approach

Journal of Chemical Physics

Volumn 130, Issue 23, 2009, Pages

  Ishizaki, Akihito ^a   Fleming, Graham R ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT MOTION; COHERENT OSCILLATIONS; DELOCALIZATION; ELECTRONIC COHERENCE; ELECTRONIC COUPLING; ELECTRONIC ENERGY TRANSFER; ELECTRONIC EXCITATION; HOPPING DYNAMICS; MARKOV APPROXIMATION; QUANTUM COHERENCE; QUANTUM DYNAMICS; REDFIELD THEORY; REORGANIZATION ENERGIES;

CHROMOPHORES; ENERGY TRANSFER; QUANTUM THEORY;

EQUATIONS OF MOTION;

ARTICLE; CHEMICAL MODEL; COMPUTER SIMULATION; ELECTRON; ENERGY TRANSFER; QUANTUM THEORY;

COMPUTER SIMULATION; ELECTRONS; ENERGY TRANSFER; MODELS, CHEMICAL; QUANTUM THEORY;

EID: 67649132804     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3155372     Document Type: Article

References (57)

1. D. M. Jonas, Annu. Rev. Phys. Chem. 0066-426X 54, 425 (2003). 10.1146/annurev.physchem.54.011002.103907
2. T. Brixner, T. Mancl, I. V. Stiopkin, and G. R. Fleming, J. Chem. Phys. 0021-9606 121, 4221 (2004). 10.1063/1.1776112
3. T. Brixner, J. Stenger, H. M. Vaswani, M. Cho, R. E. Blankenship, and G. R. Fleming, Nature (London) 0028-0836 434, 625 (2005). 10.1038/nature03429
4. G. S. Engel, T. R. Calhoun, E. L. Read, T. -K. Ahn, T. Mancl, Y. -C. Cheng, R. E. Blankenship, and G. R. Fleming, Nature (London) 0028-0836 446, 782 (2007). 10.1038/nature05678
5. R. E. Fenna and B. W. Matthews, Nature (London) 0028-0836 258, 573 (1975). 10.1038/258573a0
6. Y. -F. Li, W. Zhou, R. E. Blankenship, and J. P. Allen, J. Mol. Biol. 0022-2836 271, 456 (1997). 10.1006/jmbi.1997.1189
7. S. I. E. Vulto, M. A. de Baat, S. Neerken, F. R. Nowak, H. van Amerongen, J. Amesz, and T. J. Aartsma, J. Phys. Chem. B 1089-5647 103, 8153 (1999). 10.1021/jp984702a
8. H. van Amerongen, L. Valkunas, and R. van Grondelle, Photosynthetic Excitons (World Scientific, Singapore, 2000).
9. H. Lee, Y. -C. Cheng, and G. R. Fleming, Science 0036-8075 316, 1462 (2007). 10.1126/science.1142188
10. S. Rackovsky and R. Silbey, Mol. Phys. 0026-8976 25, 61 (1973). 10.1080/00268977300100081
11. R. Silbey, Annu. Rev. Phys. Chem. 0066-426X 27, 203 (1976). 10.1146/annurev.pc.27.100176.001223
12. S. Jang, M. D. Newton, and R. J. Silbey, Phys. Rev. Lett. 0031-9007 92, 218301 (2004). 10.1103/PhysRevLett.92.218301
13. Y. -C. Cheng and R. J. Silbey, Phys. Rev. Lett. 0031-9007 96, 028103 (2006). 10.1103/PhysRevLett.96.028103
14. S. Jang, Y. -C. Cheng, D. R. Reichman, and J. D. Eaves, J. Chem. Phys. 0021-9606 129, 101104 (2008). 10.1063/1.2977974
15. A. G. Redfield, IBM J. Res. Dev. 0018-8646 1, 19 (1957).
16. A. G. Redfield, Adv. Magn. Reson. 0065-2873 1, 1 (1965).
17. W. T. Pollard, A. K. Felts, and R. A. Friesner, Adv. Chem. Phys. 0065-2385 93, 77 (1996). 10.1002/9780470141526.ch3
18. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems, 2nd ed. (Wiley-VCH, Berlin, 2004).
19. S. I. E. Vulto, M. A. de Baat, R. J. W. Louwe, H. P. Permentier, T. Neef, M. Miller, H. van Amerongen, and T. J. Aartsma, J. Phys. Chem. B 1089-5647 102, 9577 (1998). 10.1021/jp982095l
20. M. Cho, H. M. Vaswani, T. Brixner, J. Stenger, and G. R. Fleming, J. Phys. Chem. B 1089-5647 109, 10542 (2005). 10.1021/jp050788d
21. A. Ishizaki and G. R. Fleming, J. Chem. Phys. 0021-9606 130, 234110 (2009).
22. S. Nakajima, Prog. Theor. Phys. 0033-068X 20, 948 (1958). 10.1143/PTP.20.948
23. R. Zwanzig, J. Chem. Phys. 0021-9606 33, 1338 (1960). 10.1063/1.1731409
24. F. Shibata, Y. Takahashi, and N. Hashitsume, J. Stat. Phys. 0022-4715 17, 171 (1977). 10.1007/BF01040100
25. R. Kubo, Adv. Chem. Phys. 0065-2385 15, 101 (1969). 10.1002/ 9780470143605.ch6
26. A. Ishizaki (unpublished).
27. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
28. T. Takagahara, E. Hanamura, and R. Kubo, J. Phys. Soc. Jpn. 0031-9015 43, 811 (1977). 10.1143/JPSJ.43.811
29. Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 0031-9015 58, 101 (1989). 10.1143/JPSJ.58.101
30. Y. Tanimura, J. Phys. Soc. Jpn. 0031-9015 75, 082001 (2006). 10.1143/JPSJ.75.082001
31. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 0034-6861 59, 1 (1987). 10.1103/RevModPhys.59.1
32. M. Yang and G. R. Fleming, Chem. Phys. 0301-0104 275, 355 (2002). 10.1016/S0301-0104(01)00540-7
33. H. Grabert, P. Schramm, and G. -L. Ingold, Phys. Rep. 0370-1573 168, 115 (1988). 10.1016/0370-1573(88)90023-3
34. T. M. Chang and J. L. Skinner, Physica A 0378-4371 193, 483 (1993). 10.1016/0378-4371(93)90489-Q
35. D. Kohen and D. J. Tannor, J. Chem. Phys. 0021-9606 107, 5141 (1997). 10.1063/1.474877
36. D. Kohen, C. C. Marston, and D. J. Tannor, J. Chem. Phys. 0021-9606 107, 5236 (1997). 10.1063/1.474887
37. Y. C. Cheng and R. J. Silbey, J. Phys. Chem. B 1089-5647 109, 21399 (2005). 10.1021/jp051303o
38. G. Katz, D. Gelman, M. A. Ratner, and R. Kosloff, J. Chem. Phys. 0021-9606 129, 034108 (2008). 10.1063/1.2946703
39. J. Rammer, Quantum Field Theory of Non-equilibrium States (Cambrige University Press, New York, 2007).
40. G. R. Fleming and M. Cho, Annu. Rev. Phys. Chem. 0066-426X 47, 109 (1996). 10.1146/annurev.physchem.47.1.109
41. T. Förster, Ann. Phys. 0003-3804 437, 55 (1948). 10.1002/andp.19484370105
42. T. Förster, in Modern Quantum Chemistry Part III, edited by, O. Sinanoǧlu, (Academic, New York, 1965), pp. 93-137.
43. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics, 2nd ed. (Springer, Berlin, 1995).
44. W. M. Zhang, T. Meier, V. Chernyak, and S. Mukamel, J. Chem. Phys. 0021-9606 108, 7763 (1998). 10.1063/1.476212
45. D. Zigmantas, E. L. Read, T. Mancl, T. Brixner, A. T. Gardiner, R. J. Cogdell, and G. R. Fleming, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 103, 12672 (2006). 10.1073/pnas.0602961103
46. K. Hyeon-Deuk, Y. Tanimura, and M. Cho, J. Chem. Phys. 0021-9606 127, 075101 (2007). 10.1063/1.2754680
47. E. L. Read, G. S. Engel, T. R. Calhoun, T. Mancl, T. K. Ahn, R. E. Blankenship, and G. R. Fleming, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 104, 14203 (2007). 10.1073/pnas.0701201104
48. E. L. Read, G. S. Schlau-Cohen, G. S. Engel, J. Wen, R. E. Blankenship, and G. R. Fleming, Biophys. J. 0006-3495 95, 847 (2008). 10.1529/biophysj.107. 128199
49. A. Ishizaki and Y. Tanimura, J. Phys. Soc. Jpn. 0031-9015 74, 3131 (2005). 10.1143/JPSJ.74.3131
50. R. Zwanzig, Nonequilibrium Statistical Mechanics (Oxford University Press, New York, 2001).
51. J. Zhao, B. Li, K. Onda, M. Feng, and H. Petek, Chem. Rev. (Washington, 106, 4402 (2006). 10.1021/cr050173c 0009-2665
52. C. Meier and D. J. Tannor, J. Chem. Phys. 0021-9606 111, 3365 (1999). 10.1063/1.479669
53. I. I. Abram and R. Silbey, J. Chem. Phys. 0021-9606 63, 2317 (1975). 10.1063/1.431683
54. R. Silbey and R. A. Harris, J. Chem. Phys. 0021-9606 80, 2615 (1984). 10.1063/1.447055
55. R. A. Harris and R. Silbey, J. Chem. Phys. 0021-9606 83, 1069 (1985). 10.1063/1.449469
56. D. R. Reichman and R. J. Silbey, J. Chem. Phys. 0021-9606 104, 1506 (1996). 10.1063/1.470916
57. J. M. Jean and G. R. Fleming, J. Chem. Phys. 0021-9606 103, 2092 (1995). 10.1063/1.469684