Quantum master equation for a system influencing its environment

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 68, Issue 6, 2003, Pages

  Esposito, Massimiliano ^a   Gaspard, Pierre ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84864445742     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.68.066112     Document Type: Article

References (29)

1. W. Pauli, Festschrift zum 60. Geburtstage A. Sommerfelds (Hirzel, Leipzig, 1928).
2. R.W. Zwanzig, Lectures in Theoretical Physics (Interscience Publishers, New York, 1961), p. 106.
3. D. Zubarev, V. Morozov, and G. Röpke, Statistical Mechanics of Nonequilibrium Processes (Akademie Verlag, Berlin, 1996).
4. A.G. Redfield, IBM J. Res. Dev. 1, 19 (1957).
5. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Processus d’Interaction entre Photons et Atomes (CNRS Editions, Paris, 1996).
6. C.W. Gardiner and P. Zoller, Quantum Noise, 2nd ed. (Spinger, Berlin, 2000).
7. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, 2nd ed. (North-Holland, Amsterdam, 1997).
8. F. Haake, Statistical Treatment of Open Systems by Generalized Master Equation, Springer Tracts in Modern Physics, Vol. 66 (Springer, Berlin, 1973).
9. U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Scientific, Singapore, 2000).
10. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
11. P. Gaspard and M. Nagaoka, J. Chem. Phys. 111, 5668 (1999).
12. A. Suárez, R. Silbey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).
13. T. Yu, L. Diósi, N. Gisin, and W. Strunz, Phys. Lett. A 265, 331 (2000).
14. W. Strunz, Chem. Phys. 268, 237 (2001).
15. S. Gnutzmann and F. Haake, Z. Phys. B: Condens. Matter 101, 263 (1996).
16. D. Cohen and T. Kottos, e-print cond-mat/0302319.
17. R.A. Marcus, Adv. Chem. Phys. 101, 391 (1997).
18. W.M. Gelbart, S.A. Rice, and K.F. Freed, J. Chem. Phys. 57, 4699 (1972).
19. A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 5054 (1994).
20. M. Esposito and P. Gaspard, Phys. Rev. E 68, 0661XX (2003).
21. O. Bohigas, M.J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).
22. T. Guhr, A. Müller-Groeling, and H.A. Weidenmüller, Phys. Rep. 299, 189 (1998).
23. M.L. Mehta, Random Matrices and the Statistical Theory of Energy Levels (Academic Press, New York, 1967).
24. C.E. Porter, Statistical Theories of Spectra Fluctuations (Academic Press, New York, 1965).
25. T.A. Brody, J. Flores, J.B. French, P.A. Mello, A. Pandey, and S.S.M. Wong, Rev. Mod. Phys. 53, 385 (1981).
26. P.A. Mello, P. Pereyra, and N. Kumar, J. Stat. Phys. 51, 77 (1988).
27. P. Pereyra, J. Stat. Phys. 65, 773 (1991).
28. E. Lutz and H.A. Weidenmüller, Physica A 267, 354 (1998).
29. J.L. Lebowitz and L. Pastur, e-print math-ph/0307004.