Decay of the Loschmidt Echo for Quantum States with Sub-Planck-Scale Structures

Physical Review Letters

Volumn 89, Issue 15, 2002, Pages

  Jacquod, Ph ^a   Adagideli, I ^a   Beenakker, C W J ^a  

^a UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DECOMPOSITION; LYAPUNOV METHODS; OSCILLATIONS; PERTURBATION TECHNIQUES; PHASE SPACE METHODS;

LOSCHMIDT ECHO; LYAPUNOV EXPONENT; QIGNER DISTRIBUTION; QUANTUM INTERFERENCE; QUANTUM STATES; SUB PLANCK SCALE STRUCTURES;

QUANTUM THEORY;

EID: 0037037952     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.154103     Document Type: Article

References (17)

1. W.H. Zurek, Nature (London)10.1038/35089017 412, 712 (2001).
2. A. Albrecht, Nature (London)10.1038/35089156 412, 687 (2001).
3. A. Jordan and M. Srednicki, quant-ph/0112139.
4. A. Peres, Phys. Rev. A10.1103/PhysRevA.30.1610 30, 1610 (1984).
5. R.A. Jalabert and H.M. Pastawski, Phys. Rev. Lett.10.1103/PhysRevLett.86.2490 86, 2490 (2001).
6. E. Joos and H.D. Zeh, Z. Phys. B 59, 223 (1985).
7. Z.P. Karkuszewski, C. Jarzynski, and W.H. Zurek, quant-ph/0111002.
8. G.P. Berman and G.M. Zaslavsky, Physica (Amsterdam) 91A, 450 (1978);
9. M.V. Berry and N.L. Balasz, J. Phys. AJPHAC510.1088/0305-4470/12/5/012 12, 625 (1979).
10. Ph. Jacquod, P.G. Silvestrov, and C.W.J. Beenakker, Phys. Rev. EPLEEE810.1103/PhysRevE.64.055203 64, 055203(R) (2001).
11. F.M. Cucchietti, C.H. Lewenkopf, E.R. Mucciolo, H.M. Pastawski, and R.O. Vallejos, Phys. Rev. EPLEEE810.1103/PhysRevE.65.046209 65, 046209 (2002).
12. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 2000).
13. N. Cerruti and S. Tomsovic, Phys. Rev. Lett.10.1103/PhysRevLett.88.054103 88, 054103 (2002);
14. T. Prosen and M. Znidaric, J. Phys. AJPHAC510.1088/0305-4470/35/6/309 35, 1455 (2002); T. Prosen and T. Seligman, nlin.CD/0201038;
15. G. Benenti and G. Casati, Phys. Rev. EPLEEE810.1103/PhysRevE.65.066205 65, 066205 (2002); D.A. Wisniacki and D. Cohen, nlin.CD/0111125.
16. The RMT assumption relates the fidelity to the local spectral density of states. The Lyapunov regime is however not captured by this relationship; see D. Cohen, Phys. Rev. EPLEEE810.1103/PhysRevE.65.026218 65, 026218 (2001).
17. M.L. Mehta, Random Matrices (Academic, New York, 1991).