Decoherence, chaos, quantum-classical correspondence and the arrow of time

Acta Physica Polonica B

Volumn 29, Issue 12, 1998, Pages 3689-3709

  Zurbk, Wojciech H ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006885621     PISSN: 05874254     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (54)

1. H. Poincaré, Les Methodes Nouvelles de la Méchanique Céleste, GauthierVillars, Paris 1892.
2. J. Laskar, Nature 338, 237 (1989).
3. G.J. Sussman, J. Wisdom, Science 257, 56 (1992).
4. J. Wisdom, S.J. Peale, F. Maignard, Icarus 58, 137 (1984).
5. J. Wisdom, Icarus 63, 272 (1985).
6. G.P. Berman, G.M. Zaslavsky, Physica (Amsterdam) 91A, 450 (1978).
7. M.V. Berry, N.L. Balzas J. Phys. A 12, 625 (1979).
8. W.H. Zurek, J.P. Paz, in Quantum Measurement, Irreversibility, and the Physics of Information, eds P.P. Busch, P. Lahti, P. Mittelstaedt, World Scientific, Singapore 1993, pp.458-472;
9. Phys. Rev. Lett. 72, 2508 (1994);
10. Phys. Rev. Lett. 75, 351 (1995).
11. These results were announced already some time ago, but appear to be still somewhat controversial; see selected papers in G. Casati, B. Chrikov, Quantum Chaos, Cambridge University Press, Cambridge 1995.
12. E. Schrödinger, Naturwissenschaften 23, 807-812, 823-828, 844-849 (1935);
13. English translation in Quantum Theory and Measurement, eds J.A. Wheeler and W.H. Zurek, Princeton University Press, Princeton, NJ 1983, pp.152-167.
14. W.H. Zurek, Phys. Rev. D24, 1516 (1981).
15. W.H. Zurek, Phys. Rev. D26, 1862 (1982).
16. E. Joos, H.D. Zeh, Z. Phys. B 59, 229 (1985).
17. W.H. Zurek, in Frontiers of Nonequilibrium Statistical Mechanics, eds G.T. Moore and M.O. Scully, Plenum, New York 1986, pp.145-149.
18. G.J. Milburn, C.A. Holmes, Phys. Rev. Lett. 56, 2237 (1986).
19. F. Haake, D.F. Walls, in Quantum Optics IV, eds J.D. Harvey and D.F. Walls, Springer Verlag, Berlin 1986.
20. W.H. Zurek, Physics Today 44, 36 (1991).
21. M. Gell-Mann, J.B. Hartle, Phys. Rev. D47, 3345 (1993).
22. A. Albrecht, Phys. Rev. D48, 3768 (1993).
23. W.H. Zurek, Progr. Theor. Phys. 89, 281 (1993).
24. J. von Neumann, in Mathematische Grundlagen der Quantenmechanik, Springer Verlag, Berlin 1932, chapters V and VI;
25. English translation by R.T. Beyer Mathematical Foundations of Quantum Mechanics, Princeton Univ. Press, Princeton 1955.
26. A. Einstein, B. Podolsky, N. Rosen, Phys. Rev 47, 777 (1935).
27. D. Bohm, in Quantum Theory, Prentice-Hall, Engelwood Cliffs 1951, chapter 22.
28. J.S. Bell, Physics 1, 195 (1964).
29. A. Aspect, J. Dalibard, G. Roger, Phys. Rev. Lett. 49, 1804 (1982).
30. W.H. Zurek, S. Habib, J.P. Paz, Phys. Rev. Lett. 70, 1187 (1993).
31. M.R. Gallis, Phys. Rev. A53, 655 (1996).
32. G. Lindblad, Comm. Math. Phys. 40, 119 (1976).
33. A.O. Caldeira, A.J. Leggett, Physica 121A, 587 (1983).
34. W.G. Unruh, W.H. Zurek, Phys. Rev. D40, 1071 (1989).
35. M. Brune, E. Hagley, J. Dreyer, X. Maître, A. Maali, C. Wunderlich, J-M. Raimond, S. Haroche, Phys. Rev. Lett. 77, 4887 (1996).
36. C. Monroe, D.M. Meekhof, B.E. King, D.J. Wineland, Science, 272, 1131 (1996).
37. See J.F. Poyatos, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 77, 4728 (1996) for a related experimental proposal.
38. T. Dittrich, R. Graham, Phys. Rev. A42, 4647 (1990), and references therein.
39. S. Habib, K. Shizume, W.H. Zurek, Phys. Rev. Lett. 80, 4361 (1998).
40. W.H. Zurek, Physica Scripta T76, 186 (1998).
41. H.D. Zeh, The Physical Basis of the Direction of Time, Springer Verlag, Berlin 1989.
42. P.A. Miller, S. Sarkar, R. Zarum, Acta Phys. Pol., 29, 3643 (1998).
43. H. Ammann, R. Gray, I. Shvarchuck, N. Christensen, Phys. Rev. Lett. 80, 4111 (1998);
44. B.C. Klappauf, W.H. Oskay, D.A. Steck, M.G. Raizen, Phys. Rev. Lett. 81, 1203 (1998).
45. R. Landauer, in Proc. of the Drexel-4 Symposium on Quantum Nonintegrability: Quantum-Classical Correspondence, eds D.H. Feng and B.-L. Hu, World Scientific, Singapore 1997;
46. I.L. Chuang, R. Laflamme, P. Shor, W.H. Zurek, Science, 270, 1633 (1995);
47. C.H. Bennett, Physics Today 48, No.10 (1995).
48. M. Gell-Mann, J.B. Hartle, in Complexity, Entropy, and the Physics of Information, ed. W.H. Zurek, Addison-Wesley, Reading 1990;
49. R. Omnès, Rev. Mod. Phys. 64, 339 (1992),
50. and The Interpretation of Quantum Mechanics, Princeton, 1994;
51. R.B. Griffiths, Phys. Rev. A54, 2759 (1996).
52. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamatescu, H.D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory, Springer, Berlin 1996.
53. W.H. Zurek, Phil. Trans. Roy. Soc. Lond. A 356, 1793 (1998).
54. W.H. Zurek, Rev. Mod. Phys., in preparation.