Quantum Reversibility: Is there an Echo?

Physical Review Letters

Volumn 92, Issue 1, 2004, Pages 104021-104024

  Hiller, Moritz ^a   Kottos, Tsampikos ^a   Cohen, Doron ^b   Geisel, Theo ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBABILITY;

GAUSSIAN WAVE PACKETS; QUANTUM REVERSIBILITY;

QUANTUM THEORY;

EID: 1242307264     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. E. J. Heller, Chaos and Quantum Systems, edited by M.-J. Giannoni et al. (Elsevier, Amsterdam, 1991).
2. A. Peres, Phys. Rev. A 30, 1610 (1984).
3. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); F. M. Cucchietti, H. M. Pastawski, and R. Jalabert, Physica (Amsterdam) 283A, 285 (2000); F. M. Cucchietti, H. M. Pastawski, and D. A. Wisniacki, Phys. Rev. E 65, 046209 (2002).
4. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); F. M. Cucchietti, H. M. Pastawski, and R. Jalabert, Physica (Amsterdam) 283A, 285 (2000); F. M. Cucchietti, H. M. Pastawski, and D. A. Wisniacki, Phys. Rev. E 65, 046209 (2002).
5. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); F. M. Cucchietti, H. M. Pastawski, and R. Jalabert, Physica (Amsterdam) 283A, 285 (2000); F. M. Cucchietti, H. M. Pastawski, and D. A. Wisniacki, Phys. Rev. E 65, 046209 (2002).
6. Ph. Jacquod, I. Adagdeli, and C. W. J. Beenakker, Phys. Rev. Lett. 89, 154103 (2002); Europhys. Lett. 61, 729 (2003); Ph. Jacquod, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. E 64, 055203(R) (2001).
7. Ph. Jacquod, I. Adagdeli, and C. W. J. Beenakker, Phys. Rev. Lett. 89, 154103 (2002); Europhys. Lett. 61, 729 (2003); Ph. Jacquod, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. E 64, 055203(R) (2001).
8. Ph. Jacquod, I. Adagdeli, and C. W. J. Beenakker, Phys. Rev. Lett. 89, 154103 (2002); Europhys. Lett. 61, 729 (2003); Ph. Jacquod, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. E 64, 055203(R) (2001).
9. N. R. Cerruti and S. Tomsovic, Phys. Rev. Lett. 88, 054103 (2002); J. Phys. A 36, 3451 (2003).
10. N. R. Cerruti and S. Tomsovic, Phys. Rev. Lett. 88, 054103 (2002); J. Phys. A 36, 3451 (2003).
11. T. Prosen, Phys. Rev. E 65, 036208 (2002); T. Prosen and M. Znidaric, J. Phys. A 35, 1455 (2002); 34, L681 (2001); T. Prosen and T. H. Seligman, ibid. 35, 4707 (2002); T. Kottos and D. Cohen, Europhys. Lett. 61, 431 (2003).
12. T. Prosen, Phys. Rev. E 65, 036208 (2002); T. Prosen and M. Znidaric, J. Phys. A 35, 1455 (2002); 34, L681 (2001); T. Prosen and T. H. Seligman, ibid. 35, 4707 (2002); T. Kottos and D. Cohen, Europhys. Lett. 61, 431 (2003).
13. T. Prosen, Phys. Rev. E 65, 036208 (2002); T. Prosen and M. Znidaric, J. Phys. A 35, 1455 (2002); 34, L681 (2001); T. Prosen and T. H. Seligman, ibid. 35, 4707 (2002); T. Kottos and D. Cohen, Europhys. Lett. 61, 431 (2003).
14. T. Prosen, Phys. Rev. E 65, 036208 (2002); T. Prosen and M. Znidaric, J. Phys. A 35, 1455 (2002); 34, L681 (2001); T. Prosen and T. H. Seligman, ibid. 35, 4707 (2002); T. Kottos and D. Cohen, Europhys. Lett. 61, 431 (2003).
15. T. Prosen, Phys. Rev. E 65, 036208 (2002); T. Prosen and M. Znidaric, J. Phys. A 35, 1455 (2002); 34, L681 (2001); T. Prosen and T. H. Seligman, ibid. 35, 4707 (2002); T. Kottos and D. Cohen, Europhys. Lett. 61, 431 (2003).
16. G. Benenti and G. Casati, Phys. Rev. E 66, 066205 (2002); W. Wang and B. Li, ibid. 66, 056208 (2002).
17. G. Benenti and G. Casati, Phys. Rev. E 66, 066205 (2002); W. Wang and B. Li, ibid. 66, 056208 (2002).
18. D. A. Wisniacki and D. Cohen, Phys. Rev. E 66, 046209 (2002).
19. Jiri Vanicek and Eric J. Heller, quant-ph/0302192.
20. H. M. Pastawski, P. R. Levstein, and G. Usaj, Phys. Rev. Lett. 75, 4310 (1995); G. Usaj, H. M. Pastawski, and P. Levstein, Mol. Phys. 95, 1229 (1998).
21. H. M. Pastawski, P. R. Levstein, and G. Usaj, Phys. Rev. Lett. 75, 4310 (1995); G. Usaj, H. M. Pastawski, and P. Levstein, Mol. Phys. 95, 1229 (1998).
22. W. H. Zurek, Phys. Today 44, No. 10, 36 (1991); D. Cohen and T. Kottos, cond-mat/0302319; D. Cohen, Phys. Rev. E 65, 026218 (2002).
23. W. H. Zurek, Phys. Today 44, No. 10, 36 (1991); D. Cohen and T. Kottos, cond-mat/0302319; D. Cohen, Phys. Rev. E 65, 026218 (2002).
24. W. H. Zurek, Phys. Today 44, No. 10, 36 (1991); D. Cohen and T. Kottos, cond-mat/0302319; D. Cohen, Phys. Rev. E 65, 026218 (2002).
25. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
26. 0 basis.
27. Doron Cohen and Tsampikos Kottos, Phys. Rev. E 63, 036203 (2001).
28. M. Feingold and A. Peres, Phys. Rev. A 34, 591 (1986); M. Feingold, D. Leitner, and M. Wilkinson, Phys. Rev. Lett. 66, 986 (1991); M. Feingold, A. Gioletta, F. M. Izrailev, and L. Molinari, ibid. 70, 2936 (1993); M. Wilkinson, M. Feingold, and D. Leitner, J. Phys. A 24, 175 (1991).
29. M. Feingold and A. Peres, Phys. Rev. A 34, 591 (1986); M. Feingold, D. Leitner, and M. Wilkinson, Phys. Rev. Lett. 66, 986 (1991); M. Feingold, A. Gioletta, F. M. Izrailev, and L. Molinari, ibid. 70, 2936 (1993); M. Wilkinson, M. Feingold, and D. Leitner, J. Phys. A 24, 175 (1991).
30. M. Feingold and A. Peres, Phys. Rev. A 34, 591 (1986); M. Feingold, D. Leitner, and M. Wilkinson, Phys. Rev. Lett. 66, 986 (1991); M. Feingold, A. Gioletta, F. M. Izrailev, and L. Molinari, ibid. 70, 2936 (1993); M. Wilkinson, M. Feingold, and D. Leitner, J. Phys. A 24, 175 (1991).
31. M. Feingold and A. Peres, Phys. Rev. A 34, 591 (1986); M. Feingold, D. Leitner, and M. Wilkinson, Phys. Rev. Lett. 66, 986 (1991); M. Feingold, A. Gioletta, F. M. Izrailev, and L. Molinari, ibid. 70, 2936 (1993); M. Wilkinson, M. Feingold, and D. Leitner, J. Phys. A 24, 175 (1991).
32. Doron Cohen and E. J. Heller, Phys. Rev. Lett. 84, 2841 (2000).
33. M. Hiller, T. Kottos, and D. Cohen (to be published).
34. E. Wigner, Ann. Math. 62, 548 (1955); 65, 203 (1957); V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, and M. G. Kozlov, Phys. Rev. A 50, 267 (1994); G. Casati, B. V. Chirikov, I. Guarneri, and F. M. Izrailev, Phys. Rev. E 48, R1613 (1993); Phys. Lett. A 223, 430 (1996); Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995); Y.V. Fyodorov, O. A. Chubykalo, F. M. Izrailev, and G. Casati, ibid. 76, 1603 (1996).
35. E. Wigner, Ann. Math. 62, 548 (1955); 65, 203 (1957); V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, and M. G. Kozlov, Phys. Rev. A 50, 267 (1994); G. Casati, B. V. Chirikov, I. Guarneri, and F. M. Izrailev, Phys. Rev. E 48, R1613 (1993); Phys. Lett. A 223, 430 (1996); Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995); Y.V. Fyodorov, O. A. Chubykalo, F. M. Izrailev, and G. Casati, ibid. 76, 1603 (1996).
36. E. Wigner, Ann. Math. 62, 548 (1955); 65, 203 (1957); V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, and M. G. Kozlov, Phys. Rev. A 50, 267 (1994); G. Casati, B. V. Chirikov, I. Guarneri, and F. M. Izrailev, Phys. Rev. E 48, R1613 (1993); Phys. Lett. A 223, 430 (1996); Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995); Y.V. Fyodorov, O. A. Chubykalo, F. M. Izrailev, and G. Casati, ibid. 76, 1603 (1996).
37. E. Wigner, Ann. Math. 62, 548 (1955); 65, 203 (1957); V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, and M. G. Kozlov, Phys. Rev. A 50, 267 (1994); G. Casati, B. V. Chirikov, I. Guarneri, and F. M. Izrailev, Phys. Rev. E 48, R1613 (1993); Phys. Lett. A 223, 430 (1996); Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995); Y.V. Fyodorov, O. A. Chubykalo, F. M. Izrailev, and G. Casati, ibid. 76, 1603 (1996).
38. E. Wigner, Ann. Math. 62, 548 (1955); 65, 203 (1957); V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, and M. G. Kozlov, Phys. Rev. A 50, 267 (1994); G. Casati, B. V. Chirikov, I. Guarneri, and F. M. Izrailev, Phys. Rev. E 48, R1613 (1993); Phys. Lett. A 223, 430 (1996); Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995); Y.V. Fyodorov, O. A. Chubykalo, F. M. Izrailev, and G. Casati, ibid. 76, 1603 (1996).
39. E. Wigner, Ann. Math. 62, 548 (1955); 65, 203 (1957); V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, and M. G. Kozlov, Phys. Rev. A 50, 267 (1994); G. Casati, B. V. Chirikov, I. Guarneri, and F. M. Izrailev, Phys. Rev. E 48, R1613 (1993); Phys. Lett. A 223, 430 (1996); Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995); Y.V. Fyodorov, O. A. Chubykalo, F. M. Izrailev, and G. Casati, ibid. 76, 1603 (1996).
40. E. Wigner, Ann. Math. 62, 548 (1955); 65, 203 (1957); V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, and M. G. Kozlov, Phys. Rev. A 50, 267 (1994); G. Casati, B. V. Chirikov, I. Guarneri, and F. M. Izrailev, Phys. Rev. E 48, R1613 (1993); Phys. Lett. A 223, 430 (1996); Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995); Y.V. Fyodorov, O. A. Chubykalo, F. M. Izrailev, and G. Casati, ibid. 76, 1603 (1996).
41. H. M. Pastawski (private communication).