Non-Markovian dynamics, nonlocality, and entanglement in quantum Brownian motion

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 1, 2009, Pages

  Shiokawa, K ^a  

^a INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BORN APPROXIMATION; OPEN SYSTEMS; OSCILLATORS (ELECTRONIC); QUANTUM OPTICS; QUANTUM THEORY;

ARBITRARY COUPLINGS; ARBITRARY TIME; BROWNIAN MOTIONS; BROWNIAN OSCILLATORS; BROWNIAN PARTICLES; CHARACTERISTIC DISTANCES; COLD TEMPERATURES; COMMON ENVIRONMENTS; CROSSOVER BEHAVIORS; DECOHERENCE; EXACT CALCULATIONS; FLUCTUATION-DISSIPATION THEOREMS; LOW TEMPERATURES; NON LOCALITIES; NON-MARKOVIAN DYNAMICS; OSCILLATORY STATE; QUANTUM-INFORMATION PROCESSING; SEPARABILITY CRITERION; THERMALIZING; TIME REGIMES; TWO OSCILLATORS; TWO PARTICLES; UNCERTAINTY RELATIONS;

BROWNIAN MOVEMENT;

EID: 58949088671     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.012308     Document Type: Article

References (50)

1. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958). 10.1143/PTP.20.948
2. R. Zwanzig, Lect. Theor. Phys. 3, 106 (1961).
3. R. P. Feynman and F. L. Vernon, Ann. Phys. 24, 118 (1963). 10.1016/0003-4916(63)90068-X
4. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987). 10.1103/RevModPhys.59.1
5. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
6. K. Shiokawa and R. Kapral, J. Chem. Phys. 117, 7852 (2002). 10.1063/1.1509745
7. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935). 10.1103/PhysRev.47.777
8. Quantum Theory and Measurement, edited by, J. A. Wheeler, and, W. H. Zurek, (Princeton University Press, Princeton, 1983).
9. Decoherence and the Appearance of the Classical World in Quantum Theory, edited by, D. Giulini, (Springer, Berlin, 1996).
10. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
11. A. Peres, Phys. Rev. Lett. 77, 1413 (1996). 10.1103/PhysRevLett.77.1413
12. P. Horodecki, Phys. Lett. A 232, 333 (1997). 10.1016/S0375-9601(97)00416- 7
13. R. Simon, Phys. Rev. Lett. 84, 2726 (2000). 10.1103/PhysRevLett.84.2726
14. G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002). 10.1103/PhysRevA.65.032314
15. G. Giedke, M. M. Wolf, O. Krüger, R. F. Werner, and J. I. Cirac, Phys. Rev. Lett. 91, 107901 (2003). 10.1103/PhysRevLett.91.107901
16. A. Furusawa, J. L. Sorensen, S. L. Braunstein, C. A. Fuchs, H. J. Kimble, and E. S. Polzik, Science 282, 706 (1998). 10.1126/science.282.5389.706
17. F. Grosshans, G. Van Assche, J. Wenger, R. Brouri, N. J. Cerf, and P. Grangier, Nature (London) 421, 238 (2003). 10.1038/nature01289
18. A. K. Rajagopal and R. W. Rendell, Phys. Rev. A 63, 022116 (2001); 10.1103/PhysRevA.63.022116
19. Y. Zhao and G. H. Chen, Phys. Rev. E 65, 056120 (2002); 10.1103/PhysRevE.65.056120
20. F. Benatti and R. Floreanini, J. Phys. A 39, 2689 (2006). 10.1088/0305-4470/39/11/009
21. P. J. Dodd and J. J. Halliwell, Phys. Rev. A 69, 052105 (2004). 10.1103/PhysRevA.69.052105
22. M. H. Devoret and J. M. Martinis, Quantum Inf. Process. 3, 163 (2004). 10.1007/s11128-004-3101-5
23. J. R. Petta, A. C. Johnson, J. M. Taylor, E. A. Laird, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Science 309, 2180 (2005). 10.1126/science.1116955
24. C. Horhammer and H. Buttner, e-print arXiv:quant-ph/07082670.
25. K.-L. Liu and H.-S. Goan, Phys. Rev. A 76, 022312 (2007); 10.1103/PhysRevA.76.022312
26. J.-H. An and W.-M. Zhang, Phys. Rev. A 76, 042127 (2007); 10.1103/PhysRevA.76.042127
27. J. P. Paz and A. J. Roncaglia, Phys. Rev. Lett. 100, 220401 (2008); 10.1103/PhysRevLett.100.220401
28. C.-H. Chou, T. Yu, and B. L. Hu, Phys. Rev. E 77, 011112 (2008). 10.1103/PhysRevE.77.011112
29. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983). 10.1016/0378-4371(83)90013-4
30. F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985); 10.1103/PhysRevA.32.2462
31. H. Grabert, P. Schramn, and G. L. Ingold, Phys. Rep. 168, 115 (1988); 10.1016/0370-1573(88)90023-3
32. W. G. Unruh and W. H. Zurek, Phys. Rev. D 40, 1071 (1989); 10.1103/PhysRevD.40.1071
33. B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1992). 10.1103/PhysRevD.45.2843
34. K. Shiokawa and B. L. Hu, Phys. Rev. A 70, 062106 (2004). 10.1103/PhysRevA.70.062106
35. K. Shiokawa, J. Math. Chem. 45, 175 (2009). 10.1007/s10910-008-9375-6
36. E. Wigner, Phys. Rev. 40, 749 (1932). 10.1103/PhysRev.40.749
37. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, England, 1995).
38. J. Williamson, Am. J. Math. 58, 141 (1936). 10.2307/2371062
39. R. Simon, N. Mukunda, and B. Dutta, Phys. Rev. A 49, 1567 (1994). 10.1103/PhysRevA.49.1567
40. G. Adesso, A. Serafini, and F. Illuminati, Phys. Rev. A 70, 022318 (2004). 10.1103/PhysRevA.70.022318
41. W. H. Luiselle, Quantum Statistical Properties of Radiation (Wiley, New York, 1990);
42. D. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1995);
43. H. J. Carmicheal, Statistical Methods in Quantum Optics (Springer, Berlin, 1999).
44. B. Bellomo, R. Lo Franco, and G. Compagno, Phys. Rev. Lett. 99, 160502 (2007). 10.1103/PhysRevLett.99.160502
45. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997); 10.1103/PhysRevLett.79.3306
46. D. A. Lidar, I. L. Chuang, and K. B. Whaley, Phys. Rev. Lett. 81, 2594 (1998). 10.1103/PhysRevLett.81.2594
47. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II (Springer, Berlin, 1985).
48. J. S. Prauzner-Bechcicki, J. Phys. A 37, L173 (2004). 10.1088/0305-4470/37/15/L04
49. F. Benatti and R. Floreanini, J. Phys. A 39, 2689 (2006). 10.1088/0305-4470/39/11/009
50. D. Braun, Phys. Rev. Lett. 89, 277901 (2002). 10.1103/PhysRevLett.89. 277901