Does ℏ play a role in multidimensional spectroscopy? Reduced hierarchy equations of motion approach to molecular vibrations

Journal of Physical Chemistry A

Volumn 115, Issue 16, 2011, Pages 4009-4022

  Sakurai, Atsunori ^a   Tanimura, Yoshitaka ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONIC; ANHARMONIC POTENTIAL; ANHARMONICITIES; CLASSICAL DYNAMICS; CLASSICAL EQUATION; CLASSICAL LIMITS; CLASSICAL MOLECULAR DYNAMICS; CONDENSED PHASE; EXACT CALCULATIONS; FREQUENCY FLUCTUATION; HARMONIC OSCILLATORS; HIGH-FREQUENCY VIBRATIONAL MODES; INFRARED SPECTRUM; MODEL HAMILTONIANS; MOLECULAR DYNAMICS SIMULATIONS; MULTIDIMENSIONAL SPECTROSCOPY; NON-LINEAR RESPONSE; NON-LINEARITY; NON-MARKOVIAN; NONLINEARLY COUPLED; NONPERTURBATIVE; PHYSICAL CONDITIONS; QUANTUM CALCULATION; QUANTUM EFFECTS; QUANTUM SIMULATIONS; REALISTIC SYSTEMS; RESONANT OSCILLATION; RESPONSE FUNCTIONS; SPECTRAL DIFFUSION; SYSTEM-BATH COUPLING; TRANSITION PEAKS; VIBRATIONAL MOTIONS; VIBRATIONAL RELAXATION;

COMPUTER SIMULATION; CONTROL NONLINEARITIES; HAMILTONIANS; HARMONIC FUNCTIONS; MECHANICS; MODULATION; MOLECULAR DYNAMICS; OSCILLATORS (ELECTRONIC); QUANTUM CHEMISTRY; QUANTUM ELECTRONICS; SPECTROSCOPY; STOCHASTIC MODELS;

EQUATIONS OF MOTION;

ARTICLE; MOLECULAR DYNAMICS; MOTION; QUANTUM THEORY; SPECTROSCOPY; VIBRATION;

MOLECULAR DYNAMICS SIMULATION; MOTION; QUANTUM THEORY; SPECTRUM ANALYSIS; VIBRATION;

EID: 79955412525     PISSN: 10895639     EISSN: 15205215     Source Type: Journal    
DOI: 10.1021/jp1095618     Document Type: Article

References (78)

1. Mukamel, S. Principles of Nonlinear Optical Spectroscopy; Oxford University Press: New York, 1995.
2. Mukamel, S.; Tanimura, Y.; Hamm, P. Acc. Chem. Res. 2009, 42, 1207
3. Cho, M.; Fleming, G. R.; Saito, S.; Ohmine, I.; Stratt, R. M. J. Chem. Phys. 1994, 100, 6672
4. Ma, A; Stratt, R. M. Phys. Rev. Lett. 2000, 85, 1004
5. Saito, S.; Ohmine, I. Phys. Rev. Lett. 2002, 88 20740
6. Nagata, Y.; Tanimura, Y. J. Chem. Phys. 2006, 124 024508
7. Jansen, T. L. C.; Snijders, J. G.; Duppen, K. J. Chem. Phys. 2000, 113, 307
8. Hasegawa, T.; Tanimura, Y. J. Chem. Phys. 2006, 125 074512
9. Hasegawa, T.; Tanimura, Y. J. Chem. Phys. 2008, 128 064511
10. Yagasaki, T.; Saito, S. J. Chem. Phys. 2008, 128 154521
11. Yagasaki, T.; Saito, S. Acc. Chem. Res. 2009, 42, 1250
12. Jeon, J; Cho, M. New J. Phys. 2010, 12 065001
13. Cao, J.; Voth, G. A. J. Chem. Phys. 1994, 100, 5106
14. Hanna, G.; Kapral, R. J. Chem. Phys. 2008, 128 164520
15. Rank, J. P.; Kapral, R. J. Chem. Phys. 2010, 132 074106
16. Everitt, K. F.; Geva, E.; Skinner, J. L. J. Chem. Phys. 2001, 114, 1326
17. Cho, M. J. Chem. Phys. 2001, 115, 4424
18. Fourkas, J. T. Annu. Rev. Phys. Chem. 2002, 53, 17
19. Merchant, K. A.; Noid, W. G.; Thompson, D. E.; Akiyama, R.; Loring, R. F.; Fayer, M. D. J. Phys. Chem. B 2003, 107, 4
20. Jansen, T. L. C.; Zhuang, W.; Mukamel, S. J. Chem. Phys. 2004, 121, 10577
21. Jansen, T. L. C.; Hayashi, T.; Zhuang, W.; Mukamel, S. J. Chem. Phys. 2005, 123 114504
22. Torii, H. J. Phys. Chem. A 2006, 110, 4822
23. Sanda, F.; Mukamel, S. J. Chem. Phys. 2006, 125 014507
24. Jansen, T. L. C.; Ruszel, W. M. J. Chem. Phys. 2008, 128 214501
25. Hanna, G.; Geva, E. J. Phys. Chem. B 2008, 112, 12991
26. Kobus, M.; Nguyen, P. H.; Stock, G. J. Chem. Phys. 2010, 133 034512
27. Egorov, S. A.; Everitt, K. F.; Skinner, J. L. J. Phys. Chem. 1999, 103, 9494
28. Sepulveda, M. A.; Mukamel, S J. Chem. Phys. 1995, 102, 9327
29. Jansen, C. J; Mukamel, S J. Chem. Phys. 2003, 119, 7979
30. Noid, W. G.; Erza, G. S.; Loring, R. F. J. Chem. Phys. 2004, 120, 1491
31. Shi, Q.; Geva, E. J. Chem. Phys. 2005, 122 064506
32. Tanimura, Y.; Ishizaki, A. Acc. Chem. Res. 2009, 42, 1270
33. Tanimura, Y. J. Phys. Soc. Jpn. 2006, 75 082001
34. Steffen, T.; Tanimura, Y. J. Phys. Soc. Jpn. 2000, 69, 3115
35. Tanimura, Y.; Steffen, T. J. Phys. Soc. Jpn. 2000, 69, 4095
36. Kato, T.; Tanimura, Y. J. Chem. Phys. 2002, 117, 6221
37. Kato, T.; Tanimura, Y. J. Chem. Phys. 2004, 120, 260
38. Ishizaki, A.; Tanimura, Y. J. Chem. Phys. 2005, 123 014503
39. Ishizaki, A.; Tanimura, Y. J. Chem. Phys. 2006, 125 084501
40. Ishizaki, A.; Tanimura, Y. J. Phys. Chem. A 2007, 111, 9296
41. Sahrapour, M. M.; Makri, N. J. Chem. Phys. 2010, 132 134506
42. Caldeira, A. O.; Leggett, A. J. Physica A 1983, 121, 587
43. Grabert, H.; Schramm, P.; Ingold, G. L. Phys. Rep. 1988, 168, 115
44. Weiss, U. Quantum Dissipative Systems; World Scientific: Singapore, 2007.
45. Okumura, K.; Tanimura, Y. Phys. Rev. E 1997, 56, 2747
46. Oxtoby, D. W. Annu. Rev. Phys. Chem. 1981, 32, 77
47. Bader, J. S.; Berne, B. J. J. Chem. Phys. 1994, 100, 8359
48. Ghosh, P. K.; Barik, D.; Ray, D. S. Phys. Lett. A 2007, 361, 201
49. Ghosh, P.; Shit, A.; Chattopadhyay, S.; Chaudhuri, J. R. J. Chem. Phys. 2010, 132 244506
50. Bhattacharya, S.; Chaudhury, P.; Chattopadhyay, S.; Chaudhuri, J. R. Phys. Rev. E 2009, 80 041127
51. Tanimura, Y.; Kubo, R. J. Phys. Soc. Jpn. 1989, 58, 101
52. Tanimura, Y.; Wolynes, P. G. Phys. Rev. A 1991, 43, 4131
53. Tanimura, Y.; Wolynes, P. G. J. Chem. Phys. 1992, 96, 8485
54. Tanimura, Y. Phys. Rev. A 1990, 41, 6676
55. Ishizaki, A.; Tanimura, Y. J. Phys. Soc. Jpn. 2005, 74, 3131
56. Xu, R.-X.; Cui, P.; Li, X.-Q.; Mo, Y.; Yan, Y.-J. J. Chem. Phys. 2005, 122 041103
57. Xu, R.-X.; Yan, Y.-J. Phys. Rev. E 2007, 75 031107
58. Xu, J.; Xu, R.-X.; Luo, M.; Yan, Y.-J. Chem. Phys. 2010, 370, 109
59. Ishizaki, A.; Tanimura, Y. Chem. Phys. 2008, 347, 185
60. Wigner, E. Phys. Rev. E 1932, 40, 749
61. Frensley, W. R. Rev. Mod. Phys. 1990, 62, 745
62. Coffey, W. T.; Kalmykov, Y. P.; Titov, S. V.; Mulligan, B. P. Phys. Rev. E 2007, 75 041117
63. Cleary, L.; Coffey, W. T.; Kalmykov, Y. P.; Titov, S. V. Phys. Rev. E 2009, 80 051106
64. Hasegawa, T.; Tanimura, Y. Unpublished.
65. Risken, H. The Fokker-Planck Equation, 2nd ed.; Springer: Berlin, 1988.
66. Gardiner, C. W. Handbook of Stochastic Methods; Springer: Berlin, 2004.
67. Tanimura, Y. Chem. Phys. 1998, 233, 217
68. Toutounji, M. Int. J. Quantum Chem. 2009, 109, 3399
69. Suzuki, Y.; Tanimura, Y. Phys. Rev. 1999, 59, 1475
70. Tanimura, Y.; Mukamel, S. J. Chem. Phys. 1993, 99, 9496
71. Okumura, K.; Tanimura, Y. J. Chem. Phys. 1996, 105, 7294
72. Hybl, J. D.; Ferro, A. A.; Jonas, D. M. J. Chem. Phys. 2001, 115, 6606
73. Ge, N.-H.; Zanni, M. T.; Hochstrasser, R. M. J. Phys. Chem. A 2002, 106, 962
74. Khalil, M.; Demirdoven, N.; Tokmakoff, A. Phys. Rev. Lett. 2003, 90 047401
75. Seidner, L.; Stock, G.; Domcke, W. J. Chem. Phys. 1995, 103, 3998
76. Wolfseder, B.; Seidner, L.; Stock, G.; Domcke, W. Chem. Phys. Lett. 1997, 217, 275
77. Kato, T.; Tanimura, Y. Chem. Phys. Lett. 2001, 341, 329
78. Okumura, K.; Tanimura, Y. J. Chem. Phys. 1997, 106, 1687