Loschmidt echo for a chaotic oscillator

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

Volumn 70, Issue 2 2, 2004, Pages

  Iomin, A ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; HAMILTONIANS; INTEGRAL EQUATIONS; INTEGRATION; LYAPUNOV METHODS; NATURAL FREQUENCIES; PERTURBATION TECHNIQUES; QUANTUM THEORY; RANDOM PROCESSES; VARIATIONAL TECHNIQUES;

CHAOTIC DYNAMICS; LOSCHMIDT ECHO; LYAPUNOV EXPONENT; NONLINEAR OSCILLATORS;

OSCILLATORS (MECHANICAL);

EID: 42749107747     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.026206     Document Type: Article

References (28)

1. G.P. Berman and G.M. Zaslavsky, Physica A 91, 450 (1978).
2. G.M. Zaslavsky, Phys. Rep. 80, 157 (1981).
3. A. Peres, Phys. Rev. A 30, 1610 (1984).
4. R.A. Jalabert and H.M. Pastawsky, Phys. Rev. Lett. 86, 2490 (2001).
5. R. Schack and C.M. Caves, Phys. Rev. E 53, 3257 (1996).
6. T. Prosen, Phys. Rev. E 65, 036208 (2002).
7. Ph. Jacquod, P.G. Silvestrov, and C.W.J. Beenakker, Phys. Rev. E 64, 055203 (2001).
8. T. Prosen and M. Znidaric, J. Phys. A 35, 1455 (2002).
9. B. Eckhardt, J. Phys. A 36, 371 (2003).
10. G. Benenti, G. Casati, and G. Veble, Phys. Rev. E 68, 036212 (2003).
11. N.R. Cerruti and S. Tomsovich, Phys. Rev. Lett. 88, 054103 (2002).
12. P.G. Silvestrov, J. Tworzydlo, and C.W.J. Beenakker, Phys. Rev. E 67, 025204 (2003).
13. J. Vanicek and E. Heller, Phys. Rev. E 68, 056208 (2003).
14. Ph. Jacquod, I. Adagideli, and C.W.J. Beenakker, Europhys. Lett. 61, 729 (2003).
15. M. Hiller, T. Kottos, D. Cohen, and T. Geisel, e-print quant-ph/0308112.
16. F.M. Cucchietti, H.M. Pastawski, and D.A. Wisniacki, Phys. Rev. E 65, 045206 (2002).
17. F.M. Cucchietti, H.M. Pastawski, and R.A. Jalabert, e-print cond-mat/0307752.
18. M.F. Andersen, A. Kaplan, and N. Davidson, Phys. Rev. Lett. 90, 023001 (2003).
19. G.P. Berman, A.M. Iomin, and G.M. Zaslavsky, Physica D 4, 113 (1981).
20. G.P. Berman and A.M. Iomin, Phys. Lett. A 95, 79 (1983); Theor. Math. Phys. 77, 1197 (1988).
21. G.P. Berman and A.M. Iomin, Phys. Lett. A 95, 79 (1983); Theor. Math. Phys. 77, 1197 (1988).
22. A. Iomin, e-print nlin.CD/0312019.
23. V.V. Sokolov, Theor. Math. Phys. 61, 1041 (1984).
24. †a/T instead of the perturbed one to not confuse it with the time dependent perturbation V.
25. R.L. Stratonovich, Dokl. Akad. Nauk SSSR 115, 1097 (1957) [Sov. Phys. Dokl. 2, 416 (1958)]; J. Hubbard, Phys. Rev. Lett. 3, 77 (1958).
26. R.L. Stratonovich, Dokl. Akad. Nauk SSSR 115, 1097 (1957) [Sov. Phys. Dokl. 2, 416 (1958)]; J. Hubbard, Phys. Rev. Lett. 3, 77 (1958).
27. R.L. Stratonovich, Dokl. Akad. Nauk SSSR 115, 1097 (1957) [Sov. Phys. Dokl. 2, 416 (1958)]; J. Hubbard, Phys. Rev. Lett. 3, 77 (1958).
28. For more details see also B. Mühlschlegel, in Functional Integration and its Applications, edited by A.M. Arthurs (Claredon, Oxford, 1975), p. 124.