Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 64, Issue 5, 2001, Pages 4-

  Jacquod, Ph ^a   Silvestrov, P G ^a,b   Beenakker, C W J ^a  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b BUDKER INSTITUTE OF NUCLEAR PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84902139740     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.64.055203     Document Type: Article

References (17)

1. A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993).
2. H.M. Pastawski, P.R. Levstein, G. Usaj, J. Raya, and J. Hirschinger, Physica A 283, 166 (2000).
3. R.A. Jalabert, and H.M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001).
4. F.M. Cucchietti, H.M. Pastawski, and D.A. Wisniacki, e-print cond-mat/0102135.
5. A. Peres, Phys. Rev. A 30, 1610 (1984).
6. E.P. Wigner, Ann. Math. 62, 548 (1955);
7. Ann. Math.E.P. Wigner65, 203 (1957);
8. G. Casati, B.V. Chirikov, I. Guarneri, and F.M. Izrailev, Phys. Rev. E 48, 1613 (1993);
9. V.V. Flambaum, A.A. Gribakina, G.F. Gribakin, and M.G. Kozlov, Phys. Rev. A 50, 267 (1994);
10. Ph. Jacquod and D.L. Shepelyansky, Phys. Rev. Lett. 75, 3501 (1995).
11. We assume here that (Formula presented) is less than the bandwidth B of (Formula presented). For (Formula presented) the local spectral density is given by the density of states of (Formula presented), and accordingly loses its Lorentzian form, cf. V.K.B. Kota, Phys. Rep. 347, 223 (2001).
12. D. Cohen and E.J. Heller, Phys. Rev. Lett. 84, 2841 (2000);
13. D. Cohen, in New Directions in Quantum Chaos, edited by G. Casati, I. Guarneri, and U. Smilansky (IOS Press, Amsterdam, 2000).
14. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 2000).
15. G. Benettin, L. Galgani, and J.M. Strelcyn, Phys. Rev. A 14, 2338 (1976).
16. A. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin, 1986).
17. F. Haake, H. Wiedemann, and K. Zyczkowki, Ann. Phys. (Leipzig) 1, 531 (1992).