Stochastic and numerical approaches to dissipative quantum dynamics: Path integrals and beyond

Physica Status Solidi (B) Basic Research

Volumn 237, Issue 1, 2003, Pages 146-158

  Stockburger, Jürgen T ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037563030     PISSN: 03701972     EISSN: None     Source Type: Journal    
DOI: 10.1002/pssb.200301796     Document Type: Article

References (41)

1. A. Einstein, Phys. Z. 18, 121 (1917).
2. F. Brosens and J. T. Devreese, J. Math. Phys. 25, 1752 (1984).
3. J. T. Devreese and F. Brosens, Phys. Rev. B 45, 6459 (1992).
4. J. T. Devreese, S. N. Klimin, V. M. Fomin, and F. Brosens, Solid State Commun. 114, 305 (2000).
5. S. Chakravarty and A. J. Leggett, Phys. Rev. Lett. 52, 5 (1984).
6. H. Grabert, U. Weiss, and P. Hänggi, Phys. Rev. Lett. 52, 2193 (1984).
7. A. J. Leggett et al., Rev. Mod. Phys. 59, 1 (1987).
8. U. Weiss, Quantum Dissipative Systems, 2nd edition (World Scientific, Singapore, 1999).
9. H. Schoeller and J. König, Phys. Rev. Lett. 84, 3686 (2000).
10. M. Grifoni, M. Sassetti, and U. Weiss, Phys. Rev. E 53, R2033 (1996).
11. R. Kubo, J. Phys. Soc. Jpn. 17, 1100 (1962).
12. R. P. Feynman and F. L. Vernon, Ann. Phys. (USA) 24, 118 (1963).
13. J. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988).
14. J. D. Doll, T. L. Beck, and D. L. Freeman, J. Chem. Phys. 89, 5753 (1988).
15. R. Egger and C. H. Mak, Phys. Rev. B 50, 15210 (1994).
16. C. H. Mak and R. Egger, J. Chem. Phys. 110, 12 (1999).
17. R. Egger, L. Mühlbacher, and C. H. Mak, Phys. Rev. E 61, 5961 (2000).
18. D. E. Makarov and N. Makri, Chem. Phys. Lett. 221, 482 (1994).
19. N. Makri, Chem. Phys. Lett. 193, 435 (1992).
20. E. Sim and N. Makri, Chem. Phys. Lett. 249, 224 (1996).
21. A. A. Golosov, R. A. Friesner, and P. Pechukas, J. Chem. Phys. 112, 2095 (2000).
22. A. G. Redfield, Adv. Magn. Reson. 1, 1 (1965).
23. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
24. N. Gisin and I. C. Percival, J. Phys. A 25, 5677 (1992).
25. J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. 68, 580 (1992).
26. R. Dum, P. Zoller, and H. Ritsch, Phys. Rev. A 45, 4879 (1992).
27. H.-P. Breuer and F. Petruccione, Phys. Rev. E 52, 428 (1995).
28. H.-P. Breuer, B. Kappler, and F. Petruccione, Phys. Rev. A 59, 1633 (1999).
29. I. Percival, Quantum state diffusion (Cambridge University Press, Cambridge, UK, 1998).
30. G. W. Ford, M. Kac, and P. Mazur, J. Math. Phys. 6, 504 (1965).
31. H. Kleinert and S. V. Shabanov, Phys. Lett. A 200, 224 (1995).
32. L. Diósi, Quantum Semiclass. Opt. 8, 309 (1996).
33. W. T. Strunz, Phys. Lett. A 224, 25 (1996).
34. L. Diósi, N. Gisin, and W. T. Strunz, Phys. Rev. A 58, 1699 (1998).
35. W. T. Strunz, L. Diósi, and N. Gisin, Phys. Rev. Lett. 82, 1801 (1999).
36. T. Yu, L. Diósi, N. Gisin, and W. T. Strunz, Phys. Rev. A 60, 91 (1999).
37. J. T. Stockburger and H. Grabert, Chem. Phys. 268, 249 (2001).
38. J. T. Stockburger and H. Grabert, Phys. Rev. Lett. 88, 170407 (2002).
39. J. T. Stockburger and C. H. Mak, Phys. Rev. Lett. 80, 2657 (1998).
40. J. T. Stockburger and C. H. Mak, J. Chem. Phys. 110, 4983 (1999).
41. J. T. Stockburger, unpublished.