Lindblad approach to quantum dynamics of open systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 8, 1998, Pages 4509-4517

  Gao, Shiwu ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001113915     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.4509     Document Type: Article

References (50)

1. C. W. Gardiner, Quantum Noise (Springer-Verlag, Berlin, 1991).
2. E. B. Davis, Quantum Theory of Open Systems (Academic, London, 1976).
3. C. W. Gardiner and M. J. Collett, Phys. Rev. A 31, 3761 (1985).
4. W. H. Zurek, Phys. Today 44 (10), 36 (1991); and references therein.
5. P. Hanggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
6. S. Gao, D. G. Busch, and W. Ho, Surf. Sci. 344, L1252 (1995).
7. Surf. Sci.S. GaoD. G. BuschW. Ho 341, L1031 (1995).
8. S. Gao Phys. Rev. B 55, 1876 (1997).
9. J. Strömquist and S. Gao, J. Chem. Phys. 106, 5751 (1997).
10. See, for example, Laser Spectroscopy and Photochemistry on Metal Surfaces, edited by H. L. Dai and W. Ho (World Scientific, Singapore, 1995).
11. K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1981).
12. R. P. Feynman and F. L. Vernon, Jr., Ann. Phys. (N.Y.) 24, 118 (1963).
13. For a review of the various phenomenological models, see, for example, H. Dekker, Phys. Rep. 80, 1 (1980).
14. A. O. Caldeira and A. J. Leggett, Physica A 121A, 587 (1983).
15. A. O. CaldeiraA. J. LeggettAnn. Phys. (N.Y.) 149, 374 (1983).
16. W. G. Unruh and W. H. Zurek, Phys. Rev. D 40, 1071 (1989).
17. B. L. Hu, Juan Pablo Paz, and Yuhong Zhang, Phys. Rev. D 45, 2843 (1992).
18. Phys. Rev. DB. L. HuJuan Pablo PazYuhong Zhang47, 1576 (1993).
19. V. Ambegaokar, Ber. Bunsenges. Phys. Chem. 95, 400 (1991).
20. L. Diósi, Europhys. Lett. 22, 1 (1993).
21. L. DiósiPhysica A 199, 517 (1993).
22. A. Tameshtit and J. E. Sipe, Phys. Rev. Lett. 77, 2600 (1996).
23. R. Karrlein and H. Grabert, Phys. Rev. E 55, 153 (1997).
24. M. Berman and R. Kosloff, Comput. Phys. Commun. 63, 1 (1991).
25. M. Berman, R. Kosloff, and H. Tal-Ezer, J. Phys. A 25, 1283 (1992).
26. P. Saalfrank, R. Baer, and R. Kosloff, Chem. Phys. Lett. 230, 463 (1994).
27. P. Saalfrank and R. Kosloff, J. Chem. Phys. 105, 2441 (1996).
28. B. Jackson, Chem. Phys. Lett. 270, 484 (1997).
29. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
30. A. Kossakowski, Rep. Math. Phys. 3, 247 (1972).
31. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
32. R. Alicki and K. Lendy, in Quanum Dynamical Semigroups and Applications, Lecture Notes in Physics, Vol. 286 (Springer-Verlag, Berlin, 1987).
33. A. Sandulescu and H. Scutaru, Ann. Phys. (N.Y.) 173, 277 (1987).
34. A. Isar, A. Sandulescu, and W. Scheid, J. Math. Phys. 34, 3887 (1993).
35. J. Math. Phys.A. IsarA. SandulescuW. Scheid32, 2128 (1991).
36. M. R. Gallis, Phys. Rev. A 48, 1028 (1993).
37. Phys. Rev. AM. R. Gallis53, 655 (1996).
38. N. Gisin and I. C. Percival, J. Phys. A 25, 5677 (1992).
39. P. Pechukas, Phys. Rev. Lett. 73, 1060 (1994).
40. A. Royer, Phys. Rev. Lett. 77, 3272 (1996).
41. S. Gnutzmann and F. Haake, Z. Phys. B 101, 263 (1996).
42. S. Gao, Phys. Rev. Lett. 79, 3101 (1997).
43. P. Ullersma, Physica (Utrecht) 32, 27 (1966), and references therein.
44. See also G. W. Ford, M. Kac, and P. Mazur, J. Math. Phys. 6, 504 (1965).
45. N. G. Van Kampen, Dan. Mat. Fys. Medd. 26, No. 15 (1951).
46. H. Dekker and M. C. Valsakumar, Phys. Lett. 104A, 67 (1984).
47. K. Sobczyk, Stochastic Differential Equations (Kluwer Academic, Dordrecht, 1991).
48. D. A. Vanden Bout et. al Science 277, 1074 (1997).
49. B. C. Stipe, R. A. Rezaei, W. Ho, S. Gao, M. Persson, and B. I. Lundqvist, Phys. Rev. Lett. 78, 4410 (1997).
50. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992).