Phase space approach to theories of quantum dissipation

Journal of Chemical Physics

Volumn 107, Issue 13, 1997, Pages 5236-5253

  Kohen, D ^a   Marston, C C ^c   Tannor, D J ^b  

^a LUCENT TECHNOLOGIES   (United States)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011238297     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474887     Document Type: Article

References (54)

1. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957); Adv. Magn. Reson. 1, 1 (1965).
2. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957); Adv. Magn. Reson. 1, 1 (1965).
3. F. Haake, in Quantum Statistics and Solid State Physics, Springer Tracts in Modern Physics 60 (Springer, Berlin, 1973).
4. H. Haken, Laser Theory (Springer, Berlin, 1970).
5. G. S. Agarwal, Phys. Rev. A 4, 739 (1971). See especially eqs. 2.49 (operator master equation), 2.11 (master equation in the Wigner representation), and 2.20-2.22 (analytical expressions for the parameters for the phase space Gaussian).
6. M. Sargent III, M. O. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, Reading, 1974).
7. H. Risken, The Fokker Planck Equation (Springer, Berlin, 1989).
8. (a) W. H. Louisell, Quantum Coherence Properties of Radiation (Wiley, New York, 1973), Section 6.2;
9. (b) W. H. Louisell and L. R. Walker, Phys. Rev. 137, B204 (1965);
10. (c) M. Lax, ibid. 145, 100 (1966).
11. C.W. Gardiner, Quantum Noise (Springer, Berlin, 1991), Chap. 10.
12. R. P. Feynman and F. L. Vernon, Ann. Phys. 24, 118 (1963).
13. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).
14. H. Grabert, P. Schramm, and G.-L. Ingold, Phys. Rep. 168, 115 (1988).
15. P. Talkner, Ann. Phys. 167, 390 (1986), esp. Appendices B and C.
16. H. Grabert, U. Weiss, and P. Talkner, Z. Phys. B 55, 87 (1984).
17. L. Diosi, Physica A 199, 517 (1993); Europhys. Lett. 22, 1 (1993).
18. L. Diosi, Physica A 199, 517 (1993); Europhys. Lett. 22, 1 (1993).
19. H. Dekker, Phys. Rep. 80, 60 (1981); Phys. Lett. 104, 67 (1984); H. Dekker, Phys. Rev. A 44, 2314 (1991).
20. H. Dekker, Phys. Rep. 80, 60 (1981); Phys. Lett. 104, 67 (1984); H. Dekker, Phys. Rev. A 44, 2314 (1991).
21. H. Dekker, Phys. Rep. 80, 60 (1981); Phys. Lett. 104, 67 (1984); H. Dekker, Phys. Rev. A 44, 2314 (1991).
22. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
23. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
24. G. Lindblad, Rep. Math. Phys. 10, 393 (1976).
25. E. B. Davies, Quantum Theory of Open Systems (Academic, New York, 1976).
26. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics 286 (Springer, New York, 1987).
27. W. G. Unruh and W. H. Zurek, Phys. Rev. D 40, 1071 (1989).
28. I. Oppenheim and V. Romero-Rochin, Physica A 147, 184 (1987).
29. A. Suarez, R. Silbey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).
30. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958).
31. R. Zwanzig, in Lectures in Theoretical Physics, Vol. 3 (Interscience, New York, 1961), p. 106.
32. B. J. Berne in Physical Chemistry: An Advanced Treatise, Vol. 8B (Academic, New York, 1971), p. 539.
33. D. Oxtoby, Adv. Chem. Phys. 47, 487 (1981).
34. (a) Y. J. Yan and S. Mukamel, J. Chem. Phys. 89, 5160 (1988);
35. (b) 88, 5735 (1988).
36. P. Pechukas, in Large Scale Molecular Systems, edited by W. Gans et al. (Plenum, New York, 1991).
37. A. Suarez, R. Silbey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).
38. H. M. Sevian and J. Skinner, J. Chem. Phys. 91, 1775 (1989).
39. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
40. M. Berman, R. Kosloff, and H. Tal-Ezer, J. Phys. A 25, 1283 (1992).
41. W. T. Pollard and R. A. Friesner, J. Chem. Phys. 100, 5054 (1994).
42. P. Pechukas, Phys. Rev. Lett. 73, 1060 (1994).
43. M. A. Sepulveda and F. Grossmann, Adv. Chem. Phys. (in press).
44. J. Bader and B. J. Berne, J. Chem. Phys. 100, 8359 (1994).
45. E. Wigner, Phys. Rev. 40, 749 (1932).
46. Selected Papers on Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954).
47. M. J. Ondrechen, A. Nitzan, and M. A. Ratner, Chem. Phys. 16, 49 (1976).
48. K. Lindenberg and B. J. West, Phys. Rev. A 30, 568 (1984).
49. V. Khidekel, Phys. Rev. E 52, 2510 (1995).
50. A. M. Walsh and R. D. Coalson, Chem. Phys. Lett. 198, 293 (1992).
51. C. Meier and D. J. Tannor (to be published).
52. F. Haake and M. Lewenstem, Phys. Rev. A 28, 3606 (1983).
53. F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985).
54. S. Gnutzmann and F. Haake, Z. Phys. B 101, 263 (1996).