Role of the effective Hilbert-space size of the reservoir for the decoherence process

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 2, 2009, Pages

  Oliveira, Adélcio C ^a   De Magalhães, A R Bosco ^b  

^a FEDERAL UNIVERSITY OF SÃO JOÃO DEL REI   (Brazil)

^b CENTRO FEDERAL DE EDUCAÇÃO TECNOLÓGICA DE MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL LIMITS; DECOHERENCE PROCESS; HILBERT; LONG-TIME DYNAMICS; NUMERICAL RESULTS; QUANTUM COHERENCE; SPACE SIZE;

EID: 69449098477     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.026204     Document Type: Article

References (51)

1. G. A. Golubtsova and M. B. Mensky, Int. J. Mod. Phys. A 4, 2733 (1989). 10.1142/S0217751X89001059
2. M. B. Mensky, R. Onofrio, and C. Presilla, Phys. Lett. A 161, 236 (1991). 10.1016/0375-9601(91)90010-6
3. I. R. Senitzky, Phys. Rev. 119, 670 (1960). 10.1103/PhysRev.119.670
4. A. O. Caldeira and A. J. Leggett Physica A 121, 587 (1983) 10.1016/0378-4371(83)90013-4
5. A. O. Caldeira and A. J. Leggett Ann. Phys. 149, 374 (1983). 10.1016/0003-4916(83)90202-6
6. L. Diosi, Phys. Rev. A 40, 1165 (1989). 10.1103/PhysRevA.40.1165
7. N. Gisin, Helv. Phys. Acta 62, 363 (1989).
8. V. E. Tarasov, Phys. Lett. A 288, 173 (2001). 10.1016/S0375-9601(01) 00548-5 (Pubitemid 32938674)
9. W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003). 10.1103/RevModPhys.75.715 (Pubitemid 37244515)
10. M. Schlosshauer, Rev. Mod. Phys. 76, 1267 (2004). 10.1103/RevModPhys.76. 1267
11. K. M. Fonseca Romero and M. C. Nemes, Phys. Lett. A 235, 432 (1997). 10.1016/S0375-9601(97)00659-2
12. R. M. Angelo, E. S. Cardoso, and K. Furuya, Phys. Rev. A 73, 062107 (2006). 10.1103/PhysRevA.73.062107 (Pubitemid 43877272)
13. A. C. Oliveira, J. G. Peixoto de Faria, and M. C. Nemes, Phys. Rev. E 73, 046207 (2006). 10.1103/PhysRevE.73.046207
14. J. I. Kim, M. C. Nemes, A. F. R. de Toledo Piza, and H. E. Borges, Phys. Rev. Lett. 77, 207 (1996). 10.1103/PhysRevLett.77.207
15. R. Omnes, Rev. Mod. Phys. 64, 339 (1992). 10.1103/RevModPhys.64.339
16. J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001). 10.1103/RevModPhys.73.565
17. A. R. Bosco de Magalhães, S. G. Mokarzel, M. C. Nemes, and M. O. Terra Cunha, Physica A 341, 234 (2004). 10.1016/j.physa.2004.03.096
18. G. W. Ford, M. Kac, and P. Mazur, J. Math. Phys. 6, 504 (1965). 10.1063/1.1704304
19. G. W. Ford, J. T. Lewis, and R. F. O'Connell, Phys. Rev. A 37, 4419 (1988). 10.1103/PhysRevA.37.4419
20. C. W. Gardiner and A. S. Parkins, Phys. Rev. A 50, 1792 (1994). 10.1103/PhysRevA.50.1792
21. A. S. Parks and H. J. Kimble, J. Opt. B: Quantum Semiclassical Opt. 1, 496 (1999). 10.1088/1464-4266/1/4/323 (Pubitemid 30559507)
22. A. R. Bosco de Magalhães and M. C. Nemes, Phys. Rev. A 70, 053825 (2004). 10.1103/PhysRevA.70.053825 (Pubitemid 40079101)
23. L. E. Ballentine, Phys. Rev. A 70, 032111 (2004). 10.1103/PhysRevA.70. 032111
24. W. Zurek, Phys. Scr. T76, 186 (1998). 10.1238/Physica.Topical.076a00186
25. R. Bonifacio, S. Olivares, P. Tombesi, and D. Vitali, Phys. Rev. A 61, 053802 (2000). 10.1103/PhysRevA.61.053802
26. J. Kofler and C. Brukner, Phys. Rev. Lett. 99, 180403 (2007). 10.1103/PhysRevLett.99.180403 (Pubitemid 350074442)
27. A. C. Oliveira, (to be published).
28. K. Furuya, M. C. Nemes, and G. Q. Pellegrino, Phys. Rev. Lett. 80, 5524 (1998). 10.1103/PhysRevLett.80.5524
29. R. Blume-Kohout and W. H. Zurek, Phys. Rev. A 68, 032104 (2003). 10.1103/PhysRevA.68.032104
30. D. Rossini, G. Benenti, and G. Casati, Phys. Rev. E 74, 036209 (2006). 10.1103/PhysRevE.74.036209 (Pubitemid 44451806)
31. G. Casati and D. Rossini, Prog. Theor. Phys. 166, 70 (2007). 10.1143/PTPS.166.70
32. J. N. Bandyopadhyay, EPL 85, 50006 (2009). 10.1209/0295-5075/85/50006
33. R. M. Angelo, Phys. Rev. A 76, 052111 (2007). 10.1103/PhysRevA.76.052111 (Pubitemid 350137037)
34. A. C. Oliveira, M. C. Nemes, and K. M. Fonseca Romero, Phys. Rev. E 68, 036214 (2003). 10.1103/PhysRevE.68.036214
35. M. Greiner, Nature (London) 419, 51 (2002). 10.1038/nature00968 (Pubitemid 34987866)
36. G. S. Agarwal and R. R. Puri, Phys. Rev. A 39, 2969 (1989). 10.1103/PhysRevA.39.2969
37. K. M. Fonseca Romero, M. C. Nemes, A. T. Costa, Jr., and M. T. Thomaz, Phys. Lett. A 233, 261 (1997). 10.1016/S0375-9601(97)00516-1
38. D. Mozyrsky and V. Privman, J. Stat. Phys. 91, 787 (1998). 10.1023/A:1023042014131
39. V. Privman, J. Stat. Phys. 110, 957 (2003). 10.1023/A:1022180407107
40. V. Privman and D. Mozyrsky, Proc. SPIE 4047, 36 (2000). 10.1117/12.391966
41. J. Shao, M. L. Ge, and H. Cheng, Phys. Rev. E 53, 1243 (1996). 10.1103/PhysRevE.53.1243
42. G. M. Palma, K. A. Suominen, and A. K. Ekert, Proc. R. Soc. London, Ser. A 452, 567 (1996). 10.1098/rspa.1996.0029
43. N. G. van Kampen, J. Stat. Phys. 78, 299 (1995). 10.1007/BF02183350
44. D. Mozyrsky, Lett. Math. Phys. 55, 1 (2001). 10.1023/A:1010900905994 (Pubitemid 33620679)
45. V. V. Dodonov and L. A. de Souza, J. Russ. Laser Res. 28, 453 (2007). 10.1007/s10946-007-0034-3
46. R. Schützhold and M. Tiersch, J. Opt. B: Quantum Semiclassical Opt. 7, S120 (2005). 10.1088/1464-4266/7/3/016 (Pubitemid 40407652)
47. M. J. Collet, Phys. Rev. A 38, 2233 (1988). 10.1103/PhysRevA.38.2233
48. M. Zwolak, H. Quan, and W. Zurek, e-print arXiv:0904.0418.
49. D. T. Pegg and S. M. Barnett, J. Mod. Opt. 44, 225 (1997).
50. V. B. Braginsky and F. Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, 1992).
51. J. G. Peixoto de Faria, Eur. Phys. J. D 42, 153 (2007). 10.1140/epjd/e2006-00278-8