Interpretation of non-Markovian stochastic Schrödinger equations as a hidden-variable theory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 6, 2003, Pages

  Gambetta, Jay ^a   Wiseman, H M ^a  

^a GRIFFITH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MARKOV PROCESSES; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY; QUANTUM OPTICS;

HIDDEN-VARIABLE THEORY; NON-MARKOVIAN STOCHASTIC SCHRODINGER EQUATIONS;

QUANTUM THEORY;

EID: 1142292333     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. H.J. Carmichael, An Open Systems Approach to Quantum Optics (Springer-Verlag, Berlin, 1993).
2. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958).
3. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960).
4. L. Diózi and W.T. Strunz, Phys. Lett. A 235, 569 (1997).
5. L. Diózi, N. Gisin, and W.T. Strunz, Phys. Rev. A 58, 1699 (1998).
6. W.T. Strunz, L. Diózi, and N. Gisin, Phys. Rev. Lett. 82, 1801 (1999).
7. P. Gaspard and M. Nagaoka, J. Chem. Phys. 111, 5676 (1999).
8. J.D. Cresser, Laser Phys. 10, 1 (2000).
9. A.A. Budini, Phys. Rev. A 63, 012106 (2000).
10. J. Gambetta and H.M. Wiseman, Phys. Rev. A 66, 012108 (2002).
11. J. Gambetta and H.M. Wiseman, Fluctuations and Noise in Photonics and Quantum Optics, edited by D. Abbott, J.H. Shapiro, and Y. Yamamoto, Proceedings of SPIE, Vol. 5111 (SPIE, Bellingham, WA, 2003), pp. 313-324.
12. A. Bassi and G. Ghirardi, Phys. Rev. A 65, 042114 (2002).
13. A. Bassi, e-print quant-ph/0209170.
14. M.W. Jack and M.J. Collett, Phys. Rev. A 61, 062106 (2000).
15. T. Yu, L. Diósi, N. Gisin, and W.T. Strunz, Phys. Rev. A 60, 91 (1999).
16. J. Gambetta and H.M. Wiseman, Phys. Rev. A 66, 052105 (2002).
17. J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. 68, 580 (1992).
18. N. Gisin, Helv. Phys. Acta 62, 363 (1989).
19. L. Diósi, J. Phys. A 21, 2885 (1989).
20. P. Pearle, Phys. Rev. A 39, 2277 (1989).
21. H.M. Wiseman and G.J. Milburn, Phys. Rev. A 47, 642 (1993).
22. H.M. Wiseman and G.J. Milburn, Phys. Rev. A 47, 1652 (1993).
23. H.M. Wiseman, Quantum Semiclassic. Opt. 8, 205 (1996).
24. K. Kraus, States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983).
25. W.T. Strunz (personal communication) has also sought an interpretation of non-Markovain SSEs, but not along the lines explored in this paper.
26. J.S. Bell, CERN-TH.4035/84 (1984).
27. Reprinted in John S. Bell on the Foundations of Quantum Mechanics, edited by M. Bell, K. Gottfried, and M. Veltman (World Scientific, Singapore, 2001).
28. J. Bub, Interpretating the Quantum World (Cambridge University Press, Cambridge, 1997).
29. P.E. Vermass and D. Dieks, Found. Phys. 25, 145 (1995).
30. G. Bacciagaluppi and M. Dickson, Found. Phys. 29, 1165 (1999).
31. A. Sudbery, Stud. Hist. Philos. Mod. Phys. 33, 387 (2002).
32. R.W. Spekkens and J.E. Sipe, Found. Phys. 31, 1431 (2001).
33. J. Gambetta and H.M. Wiseman, Found. Phys. (to be published).
34. D. Bohm, Phys. Rev. 85, 166 (1952)
35. D. Bohm, Phys. Rev. 85, 180 (1952).
36. C.W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976).
37. K. Husimi, Proc. Phys. Math. Soc. Jpn. 22, 264 (1940)
38. D.F. Walls and G.J. Milburn, Quantum Optics (Springer, Berlin, 1994).
39. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, New York, 2000).
40. E.R. Loubenets, J. Phys. A 34, 7639 (2001).
41. O.E. Barndorff-Nielsen and E.R. Loubenets, J. Phys. A 35, 565 (2002).