Spectral properties of dissipative chaotic quantum maps

Chaos

Volumn 9, Issue 3, 1999, Pages 730-737

  Braun, Daniel ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033196378     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166447     Document Type: Article

References (37)

1. T. Dittrich, in Quantum Transport and Dissipation, edited by T. Dittrich, P. Hänggi, G.-L. Ingold, B. Kramer, G. Schön, and W. Zwerger (Wiley-VCH, Weinheim, 1998).
2. S. Habib, K. Shizume, and W. H. Zurek, Phys. Rev. Lett. 80, 4361 (1998).
3. D. Cohen, Phys. Rev. Lett. 78, 2878 (1997).
4. T. Dittrich and R. Graham, Ann. Phys. (N.Y.) 200, 363 (1990).
5. T. Dittrich and R. Graham, Z. Phys. B 62, 515 (1986).
6. R. Graham and T. Tél, Z. Phys. B 60, 127 (1985).
7. O. Bohigas, M. J. Giannoni, and C. Schmitt, Phys. Rev. Lett. 52, 1 (1984).
8. M. V. Berry, in Les Houches Session XXXVI 1981, in Chaotic Behavior of Deterministic Systems, edited by G. Ioss, H. R. Helleman, and R. Stora (North-Holland, Amsterdam, 1983).
9. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 190 (1998).
10. L. E. Reichl, The Transition to Chaos (Springer, New York, 1992).
11. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 1991).
12. W. H. Zurek, Phys. Rev. D 24, 1516 (1981); Phys. Thin Films 44, 36 (1991).
13. W. H. Zurek, Phys. Rev. D 24, 1516 (1981); Phys. Thin Films 44, 36 (1991).
14. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamtescu, and H. D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Berlin, 1996).
15. There are exceptions due to symmetrical couplings, see D. A. Lidar, I. L. Chang, and K. B. Whaley, Phys. Rev. Lett. 81, 2594 (1998); D. Braun, P. A. Braun, and F. Haake, Opt. Comm (in press).
16. There are exceptions due to symmetrical couplings, see D. A. Lidar, I. L. Chang, and K. B. Whaley, Phys. Rev. Lett. 81, 2594 (1998); D. Braun, P. A. Braun, and F. Haake, Opt. Comm (in press).
17. P. Peplowski and S. T. Dembiński, Z. Phys. B 83, 453 (1991); J. Iwaniszewski and P. Peplowski, J. Phys. A 28, 2183 (1995).
18. P. Peplowski and S. T. Dembiński, Z. Phys. B 83, 453 (1991); J. Iwaniszewski and P. Peplowski, J. Phys. A 28, 2183 (1995).
19. A. R. Kolovsky, Phys. Rev. Lett. 76, 340 (1996).
20. M. G. Gutzwiller, J. Math. Phys. 11, 1791 (1970).
21. M. G. Gutzwiller, J. Math. Phys. 12, 343 (1971).
22. D. Braun, P. A. Braun, and F. Haake, Physica D (in press).
23. P. Cvitanović and B. Eckhardt, J. Phys. A 24, 237 (1991).
24. For a review see U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
25. F. Haake, M. Kuś, and R. Scharf, in Coherence, Cooperation, and Fluctuations, edited by F. Haake, L. M. Narducci, and D. F. Walls (Cambridge University Press, Cambridge, 1986).
26. G. S. Agarwal, R. R. Puri, and R. P. Singh, Phys. Rev. A 56, 2249 (1997), and references therein.
27. F. Waldner, D. R. Barberis, and H. Yamazaki, Phys. Rev. A 31, 420 (1985).
28. R. Bonifacio, P. Schwendimann, and F. Haake, Phys. Rev. A 4, 302 (1971); 4, 854 (1971).
29. R. Bonifacio, P. Schwendimann, and F. Haake, Phys. Rev. A 4, 302 (1971); 4, 854 (1971).
30. M. Gross and S. Haroche, Phys. Rep. 93, N5, 301 (1982).
31. 7P. A. Braun, D. Braun, F. Haake, and J. Weber, Eur. Phys. J. D 2, 165 (1998).
32. P. A. Braun, D. Braun, and F. Haake, Eur. Phys. J. D 3, 1 (1998).
33. M. Tabor, Physica D 6, 195 (1983); G. Junker and H. Leschke, ibid. 56, 135 (1992).
34. M. Tabor, Physica D 6, 195 (1983); G. Junker and H. Leschke, ibid. 56, 135 (1992).
35. P. A. Braun, P. Gerwinski, F. Haake, and H. Schomerus, Z. Phys. B 100, 115 (1996).
36. J. H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928).
37. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, New York 1998) (private communication).