Reduced dynamics of coupled harmonic and anharmonic oscillators using higher-order perturbation theory

Journal of Chemical Physics

Volumn 126, Issue 11, 2007, Pages

  Schröder, Markus ^a   Schreiber, Michael ^a   Kleinekathöfer, Ulrich ^a,b  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^b JACOBS UNIVERSITY BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY MATRICES; DENSITY MATRIX; SYSTEM-BATH COUPLING;

EQUATIONS OF MOTION; PERTURBATION TECHNIQUES; PROBABILITY DENSITY FUNCTION;

OSCILLATORS (ELECTRONIC);

EID: 34047116443     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2538754     Document Type: Article

References (40)

1. H.-D. Meyer, U. Manthe, and L. Cederbaum, Chem. Phys. Lett. 165, 73 (1990).
2. M. H. Beck, A. Jäckle, G. A. Worth, and H.-D. Meyer, Phys. Rep. 324, 1 (2000).
3. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. 168, 115 (1988).
4. U. Kleinekathöfer, J. Chem. Phys. 121, 2505 (2004).
5. H. Wang, M. Thoss, and W. H. Miller, J. Chem. Phys. 115, 2979 (2001).
6. M. Thoss, H. Wang, and W. H. Miller, J. Chem. Phys. 115, 2991 (2001).
7. J. Hubbard, Phys. Rev. Lett. 3, 77 (1959).
8. J. Shao, J. Chem. Phys. 120, 5053 (2004).
9. D. Lacroix, Phys. Rev. A 72, 013805 (2005).
10. Y. Mo, R.-X. Xu, P. Cui, and Y. Yan, J. Chem. Phys. 122, 084115 (2005).
11. Y. Zhou, Y. Yan, and J. Shao, Europhys. Lett. 72, 334 (2005).
12. J. Shao, Chem. Phys. 322, 187 (2006).
13. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958).
14. R. Zwanzig, in Lectures in Theoretical Physics, edited by W. E. Brittin, B. W. Downs, and J. Downs (Interscience, New York, 1961), Vol. 3, p. 106.
15. R. Zwanzig, Physica (Amsterdam) 30, 1109 (1964).
16. N. Hashitsumae, F. Shibata, and M. Shingu, J. Stat. Phys. 17, 155 (1977).
17. F. Shibata, Y. Takahashi, and N. Hashitsume, J. Stat. Phys. 17, 171 (1977).
18. Q. Shi and E. Geva, J. Chem. Phys. 119, 12063 (2003).
19. V. May and O. Kühn, Charge and Energy Transfer in Molecular Systems (Wiley-VCH, Berlin, 2000).
20. S. Jang, J. Cao, and R. J. Silbey, J. Chem. Phys. 116, 2705 (2002).
21. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, New York, 2002).
22. T. Renger and V. May, Phys. Rev. Lett. 84, 5228 (2000).
23. M. Schröder, U. Kleinekathöfer, and M. Schreiber, J. Chem. Phys. 124, 084903 (2006).
24. S. Welack, M. Schreiber, and U. Kleinekathöfer, J. Chem. Phys. 124, 044712 (2006).
25. H. P. Breuer, D. Burgarth, and F. Petruccione, Phys. Rev. B 70, 045323 (2004).
26. Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 58, 101 (1989).
27. Y. Tanimura, Phys. Rev. A 41, 6676 (1990).
28. Y. Tanimura and P. G. Wolynes, Phys. Rev. A 43, 4131 (1991).
29. Y. Tanimura and S. Mukamel, J. Phys. Soc. Jpn. 63, 66 (1994).
30. Y. Yan, F. Yang, and J. Shao, Chem. Phys. Lett. 395, 216 (2004).
31. A. Ishizaki and Y. Tanimura, J. Phys. Soc. Jpn. 74, 3131 (2005).
32. R.-X. Xu, P. Cui, X.-Q. Li, Y. Mo, and Y. Yan, J. Chem. Phys. 122, 041103 (2005).
33. Y. Tanimura, J. Phys. Soc. Jpn. 75, 082001 (2006).
34. U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Scientific, Singapore, 1999).
35. B. Øksendal, Stochastic Differential Equations (Springer, Berlin, 1995).
36. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, 2nd ed. (World Scientific, Singapore, 1995).
37. C. Meier and D. J. Tannor, J. Chem. Phys. 111, 3365 (1999).
38. R. Xu, Y. J. Yan, Y. Ohtsuki, and Y. Fujimura, J. Chem. Phys. 120, 6600 (2004).
39. H. P. Breuer, B. Kappler, and F. Petruccione, Phys. Rev. A 59, 1633 (1999).
40. U. Kleinekathöfer, G. Li, and M. Schreiber, J. Lumin. 119-120, 91 (2006).