Quantum reversibility and echoes in interacting systems

Physical Review Letters

Volumn 97, Issue 12, 2006, Pages

  Petitjean, C ^a   Jacquod, Ph ^b  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; DEGREES OF FREEDOM (MECHANICS); NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY;

BOLTZMANN ECHO; DECOHERENCE RATE; QUANTUM REVERSIBILITY; TIME-REVERSAL OPERATION;

QUANTUM THEORY;

EID: 33748937733     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.97.124103     Document Type: Article

References (22)

1. J. Loschmidt, Sitzungsber. der kais. Akad. d. W. Math. Naturw. II 73, 128 (1876).
2. For references on Maxwell's, Gibbs' and Boltzmann's interpretation of the second law and a discussion of the microscopic origin of macroscopic irreversibility see, e.g., J.L. Lebowitz, Physica (Amsterdam) A263, 516 (1999). PHYADX 0378-4371 10.1016/S0378-4371(98)00514-7
3. D.L. Shepelyansky, Physica (Amsterdam) D8, 208 (1983). PDNPDT 0167-2789 10.1016/0167-2789(83)90318-4
4. A. Peres, Phys. Rev. A 30, 1610 (1984). PLRAAN 1050-2947 10.1103/PhysRevA.30.1610
5. R.A. Jalabert and H.M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490
6. E.L. Hahn, Phys. Rev. 80, 580 (1950). PHRVAO 0031-899X 10.1103/PhysRev.80.580
7. S. Zhang, B.H. Meier, and R.R. Ernst, Phys. Rev. Lett. 69, 2149 (1992); PRLTAO 0031-9007 10.1103/PhysRevLett.69.2149
8. H.M. Pastawski, P.R. Levstein, and G. Usaj, Phys. Rev. Lett. 75, 4310 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.4310
9. N.A. Kurnit, I.D. Abella, and S.R. Hartmann, Phys. Rev. Lett. 13, 567 (1964). PRLTAO 0031-9007 10.1103/PhysRevLett.13.567
10. F.B.J. Buchkremer, Phys. Rev. Lett. 85, 3121 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.85.3121
11. M.F. Andersen, A. Kaplan, and N. Davidson, Phys. Rev. Lett. 90, 023001 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.023001
12. Y. Nakamura, Yu.A. Pashkin, T. Yamamoto, and J.S. Tsai, Phys. Rev. Lett. 88, 047901 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.047901
13. M. Znidaric and T. Prosen, J. Phys. A JPHAC5 0305-4470 36, 2463 (2003). 10.1088/0305-4470/36/10/307
14. Ph. Jacquod, Phys. Rev. Lett. 92, 150403 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.150403
15. Ph. Jacquod Phys. Rev. Lett. 93, 219903 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.219903
16. Ph. Jacquod, P.G. Silvestrov, and C.W.J. Beenakker, Phys. Rev. E 64, 055203(R) (2001). PLEEE8 1063-651X 10.1103/PhysRevE.64.055203
17. N.R. Cerruti and S. Tomsovic, Phys. Rev. Lett. 88, 054103 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.054103
18. T. Prosen and M. Znidaric, J. Phys. A JPHAC5 0305-4470 35, 1455 (2002). 10.1088/0305-4470/35/6/309
19. H.M. Pastawski, Physica (Amsterdam) A283, 166 (2000). PHYADX 0378-4371 10.1016/S0378-4371(00)00146-1
20. This is rigorously justified by the structural stability of hyperbolic systems considered here;
21. see, e.g., J. Vanicek and E.J. Heller, Phys. Rev. E 68, 056208 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.68.056208
22. P. Cvitanović, R. Artuso, R. Mainieri, G. Tanner, and G. Vattay, Chaos: Classical and Quantum (Niels Bohr Institute, Copenhagen, 2003), ChaosBook.org.