Stochastic simulation of quantum dissipative dynamics

Europhysics Letters

Volumn 72, Issue 3, 2005, Pages 334-340

  Zhou, Y ^a   Yan, Y ^a   Shao, J ^a  

^a INSTITUTE OF CHEMISTRY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27744502120     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2005-10262-4     Document Type: Article

References (30)

1. LEGGETT A. J., CHAKRAVARTY S., DORSEY A. T., FISHER M. P. A., GARG A. and ZWERGER W., Rev. Mod. Phys., 59 (1987) 1;
2. Rev. Mod. Phys. ibid, 67 (1995) 725;
3. HÄNGGI P., TALKNER P. and BORKOVEC M., Rev. Mod. Phys., 62 (1990) 251;
4. MAKHLIN Y., SCHÖN G. and SHNIRMAN A., Rev. Mod. Phys., 73 (2001) 357;
5. WEISS U., Quantum Dissipative Dynamics (World Scientific, Singapore) 1999.
6. GRIFONI M. and HÄNGGI P., Phys. Rep., 304 (1998) 229;
7. INGOLD G. L., Lect. Notes Phys., 611 (2002) 1;
8. HÄNGGI P. and INGOLD G. L., Chaos, 15 (2005) 026105.
9. FEYNMAN R. P. and VERNON F. L. jr., Ann. Phys., 24 (1963) 118.
10. MAK C. H. and EGGER R., Adv. Chem. Phys., 93 (1996) 39.
11. MAKRI N., J. Math. Phys., 36 (1995) 2430.
12. STOCKBURGER J. T. and MAK C. H., Phys. Rev. Lett., 80 (1998) 2657;
13. J. Chem. Phys., 110 (1999) 4983;
14. STOCKBURGER J. T. and GRABERT H., Chem. Phys., 268 (2001) 249;
15. Phys. Rev. Lett., 88 (2002) 170407;
16. STOCKBURGER J. T., Chem. Phys., 296 (2004) 159.
17. SHAO J., J. Chem. Phys., 120 (2004) 5053.
18. BREUER H.-P., Phys. Rev. A, 69 (2004) 022115;
19. Eur. Phys. J. D, 29 (2004) 105.
20. YAN Y., YANG F., Liu Y. and SHAO J., Chem. Phys. Lett., 395 (2004) 216.
21. By definition, any interaction function can be Taylor-expanded as a sum of terms with the factorized form. It is thus straightforward to extend the discussion to an arbitrary system-bath interaction, as also shown in the following.
22. See, for instance, GATAREK D. and GISIN N., J. Math. Phys., 32 (1991) 2152;
23. GHIRARDI G. C., PEARLE P. and RIMINI A., Phys. Rev. A, 42 (1990) 78.
24. CALDEIRA A. O. and LEGGETT A. J., Physica A, 121 (1983) 587.
25. BREUER H.-P. and PETRUCCIONE F., The Theory of Open Quantum Systems (Oxford University, Oxford) 2002.
26. STRUNZ W. T., DIÓSI L. and GISIN N., Phys. Rev. Lett., 82 (1999) 1801.
27. ØKSENDAL B., Stochastic Differential Equations (Springer, Berlin) 1995.
28. For instance, see MEIER C. and TANNOR D. J., J. Chem. Phys., 111 (1999) 3365.
29. Similar results were reported by Xu R. X., CUI P., LI X. Q., Mo Y. and YAN Y. J., J. Chem. Phys., 122 (2005) 041103.
30. 2.