Quantum Brownian motion with large friction

Chaos

Volumn 15, Issue 2, 2005, Pages

  Ankerhold, Joachim ^a,b   Grabert, Hermann ^a   Pechukas, Philip ^c  

^a UNIVERSITY OF FREIBURG   (Germany)

^b SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

^c Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31144453944     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1855731     Document Type: Article

References (46)

1. A. Einstein, Ann. Phys. 17, 549 (1905).
2. See, e.g., L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, Oxford, 1958).
3. M. Smoluchowski, Ann. Phys. 21, 756 (1906).
4. K. Blum, Density Matrix Theory and Applications (Plenum Press, 1981).
5. R. K. Wangsness and F. Bloch, Phys. Rev. 89, 728 (1953).
6. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957).
7. C. W. Gardiner, Quantum Noise (Springer, Berlin, 1991).
8. R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
9. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).
10. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. 168, 115 (1988).
11. J. Ankerhold, P. Pechukas, and H. Grabert, Phys. Rev. Lett. 87, 086802 (2001).
12. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
13. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1984).
14. J. Ankerhold, Europhys. Lett. 61, 301 (2003).
15. P. Pechukas, J. Ankerhold, and H. Grabert, Ann. Phys. 9, 653 (2000).
16. L. Machura, M. Kostur, P. Hänggi, P. Talkner, and J. Łuczka, Phys. Rev. E 70, 031107 (2004).
17. Same issue: P. Hänggi and G. L. Ingold, Chaos 15 (2005); arXiv: quant-ph/0412052.
18. Same issue: P. Hänggi and G. L. Ingold, Chaos 15 (2005); arXiv: quant-ph/0412052.
19. H. A. Kramers, Physica (Utrecht) 7, 284 (1940).
20. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
21. P. G. Wolynes, Phys. Rev. Lett. 47, 968 (1981).
22. A. Barone and G. Paternó, Physics and Applications of the Josephson Effect (Wiley, New York, 1982).
23. G. Schön and A. D. Zaikin, Phys. Rep. 198, 237 (1990).
24. Single Charge Tunneling, NATO ASI Ser. B, edited by, H. Grabert, and, M. H. Devoret, 294 (Plenum, New York, 1991).
25. N. Agraït, A. Levy Yeyati, J. M. van Ruitenbeek, Phys. Rep. 377, 81 (2003).
26. Macroscopic Quantum Coherence and Quantum Computing, edited by, D. V. Averin, B. Ruggiero, and, P. Silvestrini, (Kluver Academic, Plenum, New York, 2001).
27. Yu. M. Ivanchenko and L. A. Zil'berman, Sov. Phys. JETP 28, 1272 (1969).
28. V. Ambegaokar and B. I. Halperin, Phys. Rev. Lett. 25, 1364 (1969).
29. J. Ankerhold, Europhys. Lett. 67, 280 (2004).
30. G.-L. Ingold, H. Grabert, and U. Eberhardt, Phys. Rev. B 50, 395 (1994).
31. G.-L. Ingold and H. Grabert, Phys. Rev. Lett. 83, 786 (1999).
32. H. Grabert, G.-L. Ingold, and B. Paul, Europhys. Lett. 44, 360 (1998).
33. R. P. Feynman, Statistical Mechanics (Benjamin, Reading, Mass., 1972).
34. S. E. Korshunov, Sov. Phys. JETP 65, 1025 (1987).
35. R. A. Marcus and N. Sutin, Biochim. Biophys. Acta 0006-3002 10.1016/0304-4173(85)90014-X 811, 265 (1985); R. A. Marcus, Rev. Mod. Phys. 65, 599 (1993).
36. R. A. Marcus and N. Sutin, Biochim. Biophys. Acta 0006-3002 10.1016/0304-4173(85)90014-X 811, 265 (1985); R. A. Marcus, Rev. Mod. Phys. 65, 599 (1993).
37. J. Jortner and M. Bixon (eds.), Adv. Chem. Phys. 106, 107 (1999).
38. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).
39. A. Garg, J. N. Onuchic, and V. Ambegaokar, J. Chem. Phys. 83, 4491 (1985).
40. L. D. Zusman, Chem. Phys. 49, 295 (1980).
41. J. Ankerhold and H. Lehle, J. Chem. Phys. 120, 1436 (2004).
42. A. Lucke and J. Ankerhold, J. Chem. Phys. 115, 4696 (2001).
43. D. Y. Yang and R. I. Cukier, J. Chem. Phys. 91, 283 (1989).
44. L. Hartmann, I. Goychuk, and P. Hänggi, J. Chem. Phys. 0021-9606 10.1063/1.1326049 113, 11159 (2000); L. Hartmann, I. Goychuk, and P. Hänggi, J. Chem. Phys. 115, 3969 (2001) (erratum).
45. L. Hartmann, I. Goychuk, and P. Hänggi, J. Chem. Phys. 0021-9606 10.1063/1.1326049 113, 11159 (2000); L. Hartmann, I. Goychuk, and P. Hänggi, J. Chem. Phys. 115, 3969 (2001) (erratum).
46. L. Mühlbacher and R. Egger, J. Chem. Phys. 118, 179 (2003).