Brownian entanglement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 3, 2005, Pages

  Allahverdyan, A E ^a,b   Khrennikov, A ^c   Nieuwenhuizen, Th M ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b YEREVAN PHYSICS INSTITUTE   (Armenia)

^c University of Vaxjo   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN ENTANGLEMENT; BROWNIAN PARTICLE; COARSE-GRAINED DESCRIPTION; COARSE-GRAINED VELOCITIES;

ELEMENTARY PARTICLES; PROBABILITY DISTRIBUTIONS; QUANTUM THEORY;

BROWNIAN MOVEMENT;

EID: 28844439747     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.032102     Document Type: Article

References (74)

1. N. Bohr, in Collected Works, edited by, J. Kalckar, (North-Holland, Amsterdam, 1985), Vol. 6, pp. 316-330 and 376-377.
2. F. Schlögl, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(88)90200-4 49, 679 (1988).
3. L. Rosenfeld, in Ergodic Theories, Proceedings of the International School of Physics "Enrico Fermi," Course XIV, Varenna, 1960, edited by, P. Caldirola, (Academic, New York, 1961).
4. L. D. Landau and E. M. Lifshitz, Statistical Physics, I (Pergamon, Oxford, 1978).
5. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1984).
6. A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
7. E. Nelson, Quantum Fluctuations (Princeton University Press, Princeton, NJ, 1985);
8. M. Baublitz, Jr., Prog. Theor. Phys. PTPKAV 0033-068X 80, 232 (1988);
9. M. Baublitz, Jr., Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.1677 51, 1677 (1995);
10. P. Garbaczewski and J. P. Vigier, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.4634 46, 4634 (1992);
11. G. Kaniadakis, Physica A PHYADX 0378-4371 10.1016/S0378-4371(01)00626-4 307, 172 (2002).
12. L. de la Peña and A. M. Cetto, The Quantum Dice: An Introduction to Stochastic Electrodynamics (Kluwer, Dordrecht, 1996);
13. T. H. Boyer, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.29.1096 29, 1096 (1984);
14. T. H. Boyer, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.27.2906 27, 2906 (1983);
15. T. H. Boyer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.18.1238 18, 1238 (1978);
16. L. S. F. Olavo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.052109 61, 052109 (2000).
17. H. Atmanspacher, H. Römer, and F. Walach, Found. Phys. FNDPA4 0015-9018 10.1119/1.14783 32, 379 (2002).
18. L. E. Ballentine, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.14783 54, 883 (1986).
19. A. Khrennikov, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1645650 45, 902 (2004);
20. A. Khrennikov, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1570952 44, 2471 (2003);
21. A. Khrennikov, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1432485 43, 789 (2002).
22. R. J. C. Spreeuw, Found. Phys. FNDPA4 0015-9018 10.1023/A:1018703709245 28, 361 (1998);
23. R. J. C. Spreeuw, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63. 062302 63, 062302 (2001).
24. A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.093602 93, 093602 (2004).
25. P. beim Graben and H.. Atmanspacher, University of Potsdam, Germany, preprint, 2004 (unpublished).
26. D. Collins and S. Popescu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032321 65, 032321 (2002).
27. K. A. Kirkpatrick, Found. Phys. Lett. FPLEET 0894-9875 10.1023/A:1025910725022 16, 199 (2003);
28. K. A. Kirkpatrick, quant-ph 0106072.
29. L. Skala and V. Kapsa, Physica E (Amsterdam) PELNFM 1386-9477 (to be published).
30. D. I. Blokhintsev, The Philosophy of Quantum Mechanics (Reidel, Dordrecht, 1968).
31. L. E. Ballentine, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.42. 358 42, 358 (1970).
32. R. G. Newton, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.12299 48, 1029 (1980).
33. R. Balian, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.15813 57, 1019 (1989).
34. D. Home and M. A. B. Whitaker, Phys. Rep. PRPLCM 0370-1573 210, 223 (1992).
35. B. D'Espagnat, Veiled Reality (Addison-Wesley, Reading, MA, 1995).
36. W. M. de Muynck, Foundations of Quantum Mechanics, an Empirist Approach (Kluwer Academic, Dordrecht, 2002).
37. T. Krüger, quant-ph 0404091.
38. W. N. Itano, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.3554 47, 3554 (1993).
39. A. E. Allahverdyan, R. Balian, and Th. M. Nieuwenhuizen, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00150-y 61, 452 (2003).
40. O. Cohen, quant-ph 0310017.
41. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993).
42. E. Jaynes, in The Maximum Entropy Formalism, edited by, R. D. Levine, and, M. Tribus, (The MIT Press, Cambridge, MA, 1978).
43. M. Ozawa, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)00659-X 299, 1 (2002);
44. M. Ozawa, quant-ph 0107001.
45. M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(84)90160-1 106, 121 (1984);
46. Hai-Woong Lee, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(95)00007-4 259, 147 (1995).
47. H. F. Hofmann and S. Takeuchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.032103 68, 032103 (2003).
48. R. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2726 84, 2726 (2000);
49. R. Simon, quant-ph 9909044;
50. R. F. Werner and M. M. Wolf, quant-ph 0009118.
51. A. E. Allahverdyan, R. Balian, and Th. M. Nieuwenhuizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.120402 92, 120402 (2004).
52. P. Ullersma, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(66) 90102-9 32, 27 (1966);
53. P. Ullersma, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(66) 90103-0 32, 56 (1966);
54. P. Ullersma, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(66) 90104-2 32, 74 (1966);
55. P. Ullersma, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(66) 90105-4 32, 90 (1966);
56. A. O. Caldeira and A. J. Leggett, Ann. Phys. ANPYA2 0003-3804 149, 374 (1983).
57. C. W. Gardiner, Quantum Noise (Springer-Verlag, Berlin, 1991).
58. I. Fenyes, Z. Phys. ZEPYAA 0044-3328 132, 81 (1952);
59. L. de la Pena-Auerbach and A. M. Cetto, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(72)90330-1 39A, 65 (1972);
60. D. de Falco, S. De Martino, and S. De Siena, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.181 49, 181 (1982);
61. S. Golin, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.526700 26, 2781 (1985).
62. A. E. Allahverdyan and Th. M. Nieuwenhuizen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066102 71, 066102 (2005).
63. J. J. Prentis and D. R. Sisan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.031306 65, 031306 (2002);
64. J. J. Prentis, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1315604 68, 1073 (2000).
65. M. Zeilik, Phys. Teach. PHTEAH 0031-921X 10.1119/1.880259 37, 236 (1999).
66. R. P. Ojha, Nature (London) NATUAS 0028-0836 427, 522 (2004).
67. S.-K. Ma, Statistical Mechanics (World Scientific, Singapore, 1985).
68. R. Landauer and J. W. F. Woo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.2204 6, 2204 (1972).
69. L. F. Cugliandolo, J. Kurchan, and L. Peliti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.3898 55, 3898 (1997).
70. Th. M. Nieuwenhuizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5580 80, 5580 (1998);
71. Th. M. Nieuwenhuizen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61. 267 61, 267 (2000).
72. A. E. Allahverdyan and Th. M. Nieuwenhuizen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.845 62, 845 (2000).
73. L. S. Schulman and B. Gaveau, Found. Phys. FNDPA4 0015-9018 31, 713 (2001).
74. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, Cambridge, England, 1989).