Nonperturbative non-Markovian quantum master equation: Validity and limitation to calculate nonlinear response functions

Chemical Physics

Volumn 347, Issue 1-3, 2008, Pages 185-193

  Ishizaki, Akihito ^a   Tanimura, Yoshitaka ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Multidimensional spectroscopy; Non Markovian quatum master equation; Nonlinear optical response function; Nonperturbative treatment; Quantum Fokker Planck equation; Redfield equation

Indexed keywords

EID: 43049178096     PISSN: 03010104     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemphys.2007.10.037     Document Type: Article

References (59)

1. In: Wyatt R.E., and Zhang J.Z.H. (Eds). Dynamics of Molecules and Chemical Reactions (1996), Marcel Dekker Inc., New York
2. Yamamoto T., and Kato S. J. Chem. Phys. 112 (2000) 8006
3. In: Berne B.J., Cicotti G., and Coker D.F. (Eds). Classical and Quantum Dynamics in Condensed Phase Simulations (1998), World Scientific, Singapore
4. Kapral R., and Ciccotti G. J. Chem. Phys. 110 (1999) 8919
5. Wang H., Thoss M., and Miller W.H. J. Chem. Phys. 115 (2001) 2979
6. Thoss M., Wang H., and Miller W.H. J. Chem. Phys. 115 (2001) 2991
7. Kuzemsky A.L. Intern. J. Modern. Phys. B 21 (2007) 2821
8. Nakajima S. Prog. Theor. Phys. 20 (1958) 948
9. Zwanzig R. J. Chem. Phys. 33 (1960) 1338
10. Shibata F., Takahashi Y., and Hashitsume N. J. Stat. Phys. 17 (1977) 171
11. Chaturvedi S., and Shibata F. Z. Phys. B 35 (1979) 297
12. Redfield A.G. Adv. Magn. Reson. 1 (1965) 1
13. Jean J.M., Friesner R.A., and Fleming G.R. J. Chem. Phys. 96 (1992) 5827
14. Pollard W.T., and Friesner R.A. J. Chem. Phys. 100 (1994) 5054
15. Kühn O., May V., and Schreiber M. J. Chem. Phys. 101 (1994) 10404
16. Jean J.M., and Fleming G.R. J. Chem. Phys. 103 (1995) 2092
17. Egorova D., Kühl A., and Domcke W. Chem. Phys. 268 (2001) 105
18. Egorova D., Thoss M., Domcke W., and Wang H. J. Chem. Phys. 119 (2003) 2761
19. Kühl A., and Domcke W. Chem. Phys. 259 (2000) 227
20. Kühl A., and Domcke W. J. Chem. Phys. 116 (2002) 263
21. Hahn S., and Stock G. J. Chem. Phys. 116 (2002) 1085
22. Balzer B., Hahn S., and Stock G. Chem. Phys. Lett. 379 (2003) 351
23. Kühn O., and Sundström V. J. Phys. Chem. B 101 (1997) 3432
24. Kühn O., and Sundström V. J. Chem. Phys. 107 (1997) 4154
25. Laird B.B., Budimir J., and Skinner J.L. J. Chem. Phys. 94 (1991) 4391
26. Chang T.M., and Skinner J.L. Physica A 193 (1993) 483
27. Reichman D.R., and Silbey R.J. J. Chem. Phys. 104 (1996) 1506
28. Jang S., Cao J., and Silbey R.J. J. Chem. Phys. 116 (2002) 2705
29. Feynman R.P., and Vernon F.L. Ann. Phys. (N.Y.) 24 (1963) 118
30. Caldeira A.O., and Leggett A.J. Physica A 121 (1983) 587
31. Tanimura Y., and Kubo R. J. Phys. Soc. Jpn. 58 (1989) 101
32. Tanimura Y., and Wolynes P.G. Phys. Rev. A 43 (1991) 4131
33. Tanimura Y., and Steffen T. J. Phys. Soc. Jpn. 69 (2000) 4095
34. Kato T., and Tanimura Y. J. Chem. Phys. 117 (2002) 6221
35. Kato T., and Tanimura Y. J. Chem. Phys. 120 (2004) 260
36. Tanimura Y. J. Phys. Soc. Jpn. 75 (2006) 082001
37. Kubo R. Adv. Chem. Phys. 15 (1969) 101
38. Tanimura Y. Phys. Rev. A 41 (1990) 6676
39. Ishizaki A., and Tanimura Y. J. Phys. Soc. Jpn. 74 (2005) 3131
40. Ishizaki A., and Tanimura Y. J. Chem. Phys. 125 (2006) 084501
41. Ishizaki A., and Tanimura Y. J. Phys. Chem. A 111 (2007) 9269
42. Walsh A.M., and Coalson R.D. Chem. Phys. Lett. 198 (1992) 293
43. Weiss U. Quantum Dissipative Systems. Second ed. (1999), Wold Scientific, Singapore
44. Grabert H., Schramm P., and Ingold G.-L. Phys. Rep. 168 (1988) 115
45. Sakita B. Quantum Theory of Many-variable Systems and Fields (1985), World Scientific, Singapore
46. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables (1964), Dover Publications, New York
47. Tanimura Y., and Mukamel S. J. Chem. Phys. 99 (1993) 9496
48. Tanimura Y., and Okumura K. J. Chem. Phys. 106 (1997) 2078
49. Mukamel S. Principles of Nonlinear Optical Spectroscopy (1995), Oxford University Press
50. Tanimura Y., and Mukamel S. J. Phys. Chem. 97 (1993) 12596
51. Ishizaki A., and Tanimura Y. J. Chem. Phys. 123 (2005) 014503
52. Ernst R.R., Bodenhausen G., and Wokaun A. Principles of Nuclear Magnetic Resonance in One and Two Dimensions (1990), Oxford University Press
53. Khalil M., Demirdoven N., and Tokmakoff A. Phys. Rev. Lett. 90 (2003) 047401
54. Okumura K., Tokmakoff A., and Tanimura Y. Chem. Phys. Lett. 314 (1999) 488
55. Tokmakoff A. J. Phys. Chem. A 104 (2000) 4247
56. Khalil M., Demirdoven N., and Tokmakoff A. J. Phys. Chem. A 107 (2003) 5258
57. Kühn O., and Tanimura Y. J. Chem. Phys. 119 (2003) 2155
58. Woutersen S., and Hamm P. J. Phys.: Condens. Matter. 14 (2002) R1035
59. Asbury J.B., Steinel T., Stromberg C., Corcelli S.A., Lawrence C.P., Skinner J.L., and Fayer M.D. J. Phys. Chem. A 108 (2004) 1107