Initial-value representation for the Loschmidt echo

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

Volumn 84, Issue 4, 2011, Pages

  Zambrano, Eduardo ^a   Ozorio De Almeida, Alfredo M ^a  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE CORRECTION; DEPHASING; FIRST-ORDER PERTURBATION THEORY; LOSCHMIDT ECHOES; QUANTUM CHAOS; SECOND DERIVATIVES; SEMICLASSICAL THEORIES; WIGNER FUNCTIONS;

PERTURBATION TECHNIQUES; QUANTUM THEORY;

HAMILTONIANS;

EID: 80054862226     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.045201     Document Type: Article

References (28)

1. A. Peres, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.1610 30, 1610 (1984).
2. 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).
3. B. Köber, U. Kuhl, H.-J. Stöckmann, A. Goussev, and K. Richter, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.016214 83, 016214 (2011).
4. T. Gorin, T. Prosen, T. H. Seligman, and M. Žnidarič, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2006.09.003 435, 33 (2006). (Pubitemid 44696158)
5. N. R. Cerruti and S. Tomsovic, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/12/334 36, 3451 (2003).
6. Ph. Jacquod and C. Petitjean, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730902831009 58, 67 (2009).
7. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490 86, 2490 (2001). (Pubitemid 32286687)
8. Ph. Jacquod, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.055203 64, 055203 (R) (2001).
9. N. R. Cerruti and S. Tomsovic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.054103 88, 054103 (2002).
10. T. Prosen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.036208 65, 036208 (2002). (Pubitemid 40629646)
11. F. M. Cucchietti, C. H. Lewenkopf, E. R. Mucciolo, H. M. Pastawski, and R. O. Vallejos, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.046209 65, 046209 (2002). (Pubitemid 40629624)
12. J. Vaníček and E. J. Heller, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.056208 68, 056208 (2003).
13. D. A. Wisniacki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.016205 67, 016205 (2003).
14. G. Tao and W. H. Miller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3271241 131, 224107 (2009).
15. J. Vaníček, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.055201 70, 055201 (R) (2004). (Pubitemid 40108174)
16. B. Li, C. Mollica, and J. Vaníček, J. Chem. Phys. 0021-9606 10.1063/1.3187240 131, 041101 (2009).
17. D. A. Wisniacki, N. Ares, and E. G. Vergini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.254101 104, 254101 (2010).
18. J. Vaníček, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.046204 73, 046204 (2006).
19. C. Grebogi, S. M. Hammel, J. A. Yorke, and T. Sauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1527 65, 1527 (1990).
20. W. G. Wang, G. Casati, and B. Li, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.016201 75, 016201 (2007); (Pubitemid 46134196)
21. W. G. Wang, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.036206 77, 036206 (2008). (Pubitemid 351415945)
22. A. M. Ozorio de Almeida, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370- 1573(97)00070-7 295, 265 (1998).
23. O. Bohigas, M.-J. Giannoni, A. M. Ozorio de Almeida, and C. Schmit, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/8/2/005 8, 203 (1995).
24. M. V. Berry, Proc. R. Soc. London A PRPLCM 1364-5021 10.1098/rspa.1989. 0052 423, 219 (1989).
25. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 1991).
26. A. Goussev, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.056210 83, 056210 (2011).
27. E. Zambrano and A. M. Ozorio de Almeida, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/11/113044 11, 113044 (2009);
28. E. Zambrano and A. M. Ozorio de Almeida, J. Phys. A NJOPFM 1751-8113 10.1088/1751-8113/43/20/205302 43, 205302 (2010).