Uniform semiclassical approach to fidelity decay: From weak to strong perturbation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 6, 2005, Pages

  Wang, Wen Ge ^a,b   Li, Baowen ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FERMI GOLDEN RULE (FGR); INITIAL GAUSSIAN WAVE PACKETS;

FERMI LEVEL; LYAPUNOV METHODS; WAVE PROPAGATION;

PERTURBATION TECHNIQUES;

EID: 27944479085     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.066203     Document Type: Article

References (55)

1. A. Peres, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.1610 30, 1610 (1984).
2. A. Peres, in Quantum Chaos, edited by, H. A. Cerdeira, R. Ramaswamy, M. C. Gutzwiller, and, G. Casati, (World Scientific, Singapore, 1991), p. 73.
3. R. Schack and C. M. Caves, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.3257 53, 3257 (1996).
4. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
5. G. Benenti, G. Casati, and G. Strini, Principles of Quantum Computation and Information (World Scientific, Singapore, 2004).
6. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490 86, 2490 (2001).
7. Ph. Jacquod, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.055203 64, 055203 (R) (2001).
8. Ph. Jacquod, I. Adagideli, and C. W. J. Beenakker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.154103 89, 154103 (2002).
9. F. M. Cucchietti, C. H. Lewenkopf, E. R. Mucciolo, H. M. Pastawski, and R. O. Vallejos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.046209 65, 046209 (2002).
10. N. R. Cerruti and S. Tomsovic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.054103 88, 054103 (2002).
11. T. Prosen and M. ÅnidariÄ, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/6/309 35, 1455 (2002).
12. F. M. Cucchietti, H. M. Pastawski, and D. A. Wisniacki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.045206 65, 045206 (2002).
13. D. A. Wisniacki, E. G. Vergini, H. M. Pastawski, and F. M. Cucchietti, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.055206 65, 055206 (2002).
14. D. A. Wisniacki and D. Cohen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046209 66, 046209 (2002).
15. T. Prosen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036208 65, 036208 (2002).
16. N. R. Cerruti and S. Tomsovic, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/12/334 36, 3451 (2003).
17. G. Benenti and G. Casati, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.066205 65, 066205 (2002).
18. J. Emerson, Y. S. Weinstein, S. Lloyd, and D. G. Cory, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.284102 89, 284102 (2002).
19. W. Wang and B. Li, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66. 056208 66, 056208 (2002).
20. P. G. Silvestrov, J. TworzydÅo, and C. W. J. Beenakker, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.025204 67, 025204 (R) (2003).
21. D. A. Wisniacki, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.016205 67, 016205 (2003).
22. J. VanÃÄek and E. Heller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.056208 68, 056208 (2003).
23. T. Prosen, T. H. Seligman, and M. ÅnidariÄ, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 150, 200 (2003).
24. G. Benenti, G. Casati, and G. Veble, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.055202 67, 055202 (R) (2003).
25. Y. Adamov, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.056217 67, 056217 (2003).
26. F. M. Cucchietti, D. A. R. Dalvit, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.210403 91, 210403 (2003).
27. F. M. Cucchietti, H. M. Pastawski, and R. A. Jalabert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.035311 70, 035311 (2004).
28. W. Wang, G. Casati, and B. Li, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.025201 69, 025201 (R) (2004).
29. T. Gorin, T. Prosen, and T. H. Seligman, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/020 6, 20 (2004).
30. A. Iomin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.026206 70, 026206 (2004).
31. J. VanÃÄek, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70. 055201 70, 055201 (R) (2004).
32. T. Prosen and M. ÅnidariÄ, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.044101 94, 044101 (2005).
33. W. Wang, G. Casati, B. Li, and T. Prosen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.037202 71, 037202 (2005).
34. W. Wang, F. M. Izrailev, and G. Casati, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.323 57, 323 (1998).
35. D. Cohen, A. Barnett, and E. J. Heller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.046207 63, 046207 (2001).
36. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
37. H. Schomerus and M. Titov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.066207 66, 066207 (2002).
38. C. Petitjean and Ph. Jacquod, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036223 71, 036223 (2005).
39. F. Borgonovi, G. Casati, and B. Li, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.4744 77, 4744 (1996);
40. F. Borgonovi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 4653 80, 4653 (1998);
41. F. Borgonovi, P. Conti, D. Rebuzzi, B. Hu, and B. Li, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00233-4 131, 317 (1999).
42. G. Veble and T. Prosen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.034101 92, 034101 (2004).
43. J. H. Hannay and M. V. Berry, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00106-2 1, 267 (1980).
44. J. Ford, G. Mantica, and G. H. Ristow, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90012-X 50, 493 (1991).
45. J. Wilkie and P. Brumer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.1968 49, 1968 (1994).
46. F. Haake, Quantum Signatures of Chaos, 2nd ed. (Springer-Verlag, Berlin, 2001).
47. A. Lakshminarayan, N. R. Cerruti, and S. Tomsovic, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.3992 60, 3992 (1999).
48. N. R. Cerruti, A. Lakshminarayan, J. H. Lefebvre, and S. Tomsovic, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.016208 63, 016208 (2000).
49. S. Tomsovic and E. Heller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.664 67, 664 (1991);
50. S. Tomsovic and E. Heller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.282 47, 282 (1993);
51. S. Tomsovic and E. Heller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1405 70, 1405 (1993).
52. M.-A. SepÃlveda, S. Tomsovic, and E. J. Heller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.402 69, 402 (1992).
53. P. W. OâConnor, S. Tomsovic, and E. J. Heller, Physica D PDNPDT 0167-2789 10.1016/0167-2789(92)90064-T 55, 340 (1992).
54. S. Tomsovic and E. Heller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.038201 68, 038201 (2003).
55. K. Umeno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.2644 58, 2644 (1998).