Quantum optical versus quantum Brownian motion master equation in terms of covariance and equilibrium properties

Journal of Mathematical Physics

Volumn 43, Issue 11, 2002, Pages 5446-5458

  Vacchini, Bassano ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036851037     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1505126     Document Type: Article

References (52)

1. A. Isar, A. Sǎndulescu, H. Scutaru, E. Stefanescu, and W. Scheid, Int. J. Mod. Phys. E 3, 635 (1994).
2. D. Kohen, C.C. Marston, and D.J. Tannor, J. Chem. Phys. 107, 5236 (1997).
3. A. Isar, Fortschr. Phys. 47, 855 (1999).
4. V. Ambegaokar, Ber. Bunsenges. Phys. Chem. 95, 400 (1991); L. Diósi, Europhys. Lett. 22, 1 (1993); L. Diósi, Physica A 199, 517 (1993); P. Pechukas, in Large Scale Molecular Systems, edited by W. Gans, A. Blumen, and A. Amann, NATO ASI Series (Plenum, New York, 1991), Vol. 258, p. 123.
5. V. Ambegaokar, Ber. Bunsenges. Phys. Chem. 95, 400 (1991); L. Diósi, Europhys. Lett. 22, 1 (1993); L. Diósi, Physica A 199, 517 (1993); P. Pechukas, in Large Scale Molecular Systems, edited by W. Gans, A. Blumen, and A. Amann, NATO ASI Series (Plenum, New York, 1991), Vol. 258, p. 123.
6. V. Ambegaokar, Ber. Bunsenges. Phys. Chem. 95, 400 (1991); L. Diósi, Europhys. Lett. 22, 1 (1993); L. Diósi, Physica A 199, 517 (1993); P. Pechukas, in Large Scale Molecular Systems, edited by W. Gans, A. Blumen, and A. Amann, NATO ASI Series (Plenum, New York, 1991), Vol. 258, p. 123.
7. V. Ambegaokar, Ber. Bunsenges. Phys. Chem. 95, 400 (1991); L. Diósi, Europhys. Lett. 22, 1 (1993); L. Diósi, Physica A 199, 517 (1993); P. Pechukas, in Large Scale Molecular Systems, edited by W. Gans, A. Blumen, and A. Amann, NATO ASI Series (Plenum, New York, 1991), Vol. 258, p. 123.
8. H.M. Wiseman and W.J. Munro, Phys. Rev. Lett. 80, 5702 (1998); S. Gao, ibid. 80, 5703 (1998); G.W. Ford and R.F. O'Connell, ibid. 82, 3376 (1999); S. Gao, ibid. 82, 3377 (1999).
9. H.M. Wiseman and W.J. Munro, Phys. Rev. Lett. 80, 5702 (1998); S. Gao, ibid. 80, 5703 (1998); G.W. Ford and R.F. O'Connell, ibid. 82, 3376 (1999); S. Gao, ibid. 82, 3377 (1999).
10. H.M. Wiseman and W.J. Munro, Phys. Rev. Lett. 80, 5702 (1998); S. Gao, ibid. 80, 5703 (1998); G.W. Ford and R.F. O'Connell, ibid. 82, 3376 (1999); S. Gao, ibid. 82, 3377 (1999).
11. H.M. Wiseman and W.J. Munro, Phys. Rev. Lett. 80, 5702 (1998); S. Gao, ibid. 80, 5703 (1998); G.W. Ford and R.F. O'Connell, ibid. 82, 3376 (1999); S. Gao, ibid. 82, 3377 (1999).
12. G.W. Ford and R.F. O'Connell, Phys. Lett. A 215, 245 (1996).
13. R.F. O'Connell, Phys. Rev. Lett. 87, 028901 (2001); B. Vacchini, ibid. 87, 028902 (2001).
14. C. Anastopoulos and B.L. Hu, Phys. Rev. A 62, 033821 (2000); A.G. Kofman, ibid. 64, 033809 (2001).
15. V.V. Dodonov and V.I. Man'ko, in Group Theoretical Methods in Physics, edited by M.A. Markov, V.I. Man'ko, and A.E. Shabad (Harwood Academic, New York, 1985), p. 705.
16. A. Sǎndulescu and H. Scutaru, Ann. Phys. (N.Y.) 173, 277 (1987).
17. A. Isar, A. Sandulescu, and W. Scheid, J. Math. Phys. 34, 3887 (1993).
18. Y. Yan, F. Shuang, R. Xu, J. Cheng, X. Li, C. Yang, and H. Zhang, J. Chem. Phys. 113, 2068 (2000).
19. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
20. G. Lindblad, Rep. Math. Phys. 10, 393 (1976).
21. P. Talkner, Ann. Phys. (N.Y.) 167, 390 (1986).
22. B. Schumacher, Phys. Rev. A 54, 2614 (1996); A.S. Holevo, Statistical Structure of Quantum Theory, Lecture Notes in Physics, Vol. m67 (Springer, Berlin, 2001).
23. B. Schumacher, Phys. Rev. A 54, 2614 (1996); A.S. Holevo, Statistical Structure of Quantum Theory, Lecture Notes in Physics, Vol. m67 (Springer, Berlin, 2001).
24. K. Kraus, States, Effects and Operations, Lecture Notes in Physics, Vol. 190 (Springer, Berlin, 1983); K.-E. Hellwig, Int. J. Theor. Phys. 34, 1467 (1995).
25. K. Kraus, States, Effects and Operations, Lecture Notes in Physics, Vol. 190 (Springer, Berlin, 1983); K.-E. Hellwig, Int. J. Theor. Phys. 34, 1467 (1995).
26. C.W. Gardiner and P. Zoller, Quantum Noise, 2nd ed. (Springer, Berlin, 2000).
27. A.S. Holevo, in Irreversibility and Causality, edited A. Bohm, H.-D. Doebner, and P. Kielanowski, Lecture Notes in Physics, Vol. 504 (Springer, Berlin, 1998), p. 67.
28. B. Vacchini, Phys. Rev. Lett. 84, 1374 (2000).
29. B. Vacchini, Phys. Rev. E 63, 066115 (2001).
30. L. Lanz and B. Vacchini, Int. J. Mod. Phys. A 17, 435 (2002).
31. B. Vacchini, J. Math. Phys. 42, 4291 (2001).
32. B. Vacchini, Phys. Rev. E 66, 027107 (2002).
33. E. Joos and H.D. Zeh, Z. Phys. B: Condens. Matter 59, 223 (1985); M.R. Gallis and G.N. Fleming, Phys. Rev. A 42, 38 (1990); R. Alicki, ibid. 65, 034104 (2002).
34. E. Joos and H.D. Zeh, Z. Phys. B: Condens. Matter 59, 223 (1985); M.R. Gallis and G.N. Fleming, Phys. Rev. A 42, 38 (1990); R. Alicki, ibid. 65, 034104 (2002).
35. E. Joos and H.D. Zeh, Z. Phys. B: Condens. Matter 59, 223 (1985); M.R. Gallis and G.N. Fleming, Phys. Rev. A 42, 38 (1990); R. Alicki, ibid. 65, 034104 (2002).
36. F. Benatti and R; Floreanini, J. Phys. A 33, 8139 (2000).
37. A. Barchielli, Nuovo Cimento Soc. Ital. Fis., B 74B, 113 (1983).
38. A.S. Holevo, J. Math. Phys. 37, 1812 (1996).
39. A.S. Holevo, J. Funct. Anal. 131, 255 (1995); A.S. Holevo, Rep. Math. Phys. 33, 95 (1993).
40. A.S. Holevo, J. Funct. Anal. 131, 255 (1995); A.S. Holevo, Rep. Math. Phys. 33, 95 (1993).
41. B.G. Englert and G. Morigi, quant-ph/0206116; Lecture Notes in Physics (to appear).
42. A.S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
43. A.S. Holevo, Izvestija RAN, Ser. Mat. 59, 205 (1995); A.S. Holevo, Rep. Math. Phys. 32, 211 (1993).
44. A.S. Holevo, Izvestija RAN, Ser. Mat. 59, 205 (1995); A.S. Holevo, Rep. Math. Phys. 32, 211 (1993).
45. R. Zwanzig, J. Stat. Phys. 9, 215 (1973); A.O. Caldeira and A.J. Leggett, Physica A 121, 587 (1983).
46. R. Zwanzig, J. Stat. Phys. 9, 215 (1973); A.O. Caldeira and A.J. Leggett, Physica A 121, 587 (1983).
47. R. Alicki, quant-ph/0205173.
48. S.W. Lovesey, Theory of Neutron Scattering from Condensed Matter (Clarendon, Oxford, 1984).
49. L. van Hove, Phys. Rev. 95, 249 (1954).
50. K. Huang, Statistical Mechanics (Wiley, New York, 1987).
51. R. Alicki and S. Kryszewski, physics/0202001.
52. The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Berlin, 2000).