Loschmidt echoes in two-body random matrix ensembles

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 3, 2007, Pages

  Pižorn, Iztok ^a   Prosen, Tomaž ^a   Seligman, Thomas H ^b,c  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

^b CENTRO INTERNACIONAL DE CIENCIAS   (Mexico)

^c INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547523773     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.035122     Document Type: Article

References (46)

1. E. P. Wigner, Ann. Math. ANMAAH 0003-486X 10.2307/1969342 53, 36 (1951);
2. E. P. Wigner, Proc. Cambridge Philos. Soc. PCPSA4 0068-6735 47, 790 (1951).
3. E. Cartan, Abh. Math. Semin. Univ. Hambg. AMHAAJ 0025-5858 11, 116 (1935).
4. T. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.53.385 53, 385 (1981).
5. R. Balian, Nuovo Cimento NUCIAD 0029-6341 57, 183 (1958).
6. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00088-4 299, 189 (1998).
7. J. French and S. Wong, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(70) 90213-3 33B, 449 (1970).
8. O. Bohigas and J. Flores, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(71)90598-3 34B, 261 (1971).
9. J. B. French and S. S. M. Wong, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(71)90424-2 35B, 5 (1971).
10. L. Benet and H. A. Weidenmüller, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/12/340 36, 3569 (2003).
11. C. W. Johnson, G. F. Bertsch, and D. J. Dean, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2749 80, 2749 (1998);
12. C. W. Johnson, G. F. Bertsch, D. J. Dean, and I. Talmi, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.61.014311 61, 014311 (1999).
13. T. Papenbrock and H. A. Weidenmüller, Nucl. Phys. A NUPABL 0375-9474 575, 422 (2005).
14. R. Bijker, A. Frank, and S. Pittel, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.60.021302 60, 021302 (R) (1999).
15. J. B. French, Rev. Mex. Fis. RMXFAT 0035-001X 22, 221 (1973).
16. V. Zelevinsky, B. A. Brown, N. Frazier, and M. Horoi, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(96)00007-5 276, 85 (1996).
17. J. Flores, M. Horoi, M. Müller, and T. H. Seligman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.026204 63, 026204 (2000).
18. V. K. B. Kota, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00113-7 347, 223 (2001).
19. A. Peres, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.1610 30, 1610 (1984).
20. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
21. 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).
22. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490 86, 2490 (2001).
23. F. M. Cucchietti, C. H. Lewenkopf, E. R. Mucciolo, H. M. Pastawski, and R. O. Vallejos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.046209 65, 046209 (2002).
24. 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).
25. J. Vanicek and E. J. Heller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.056208 68, 056208 (2003);
26. J. Vanicek, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.055201 70, 055201 (R) (2004);
27. J. Vanicek, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.046204 73, 046204 (2006).
28. H.-J. Stöckmann and R. Schäfer, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/199 6, 199 (2004).
29. H.-J. Stöckmann and H. Kohler, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.066212 73, 066212 (2006).
30. T. Gorin, T. Prosen, and T. H. Seligman, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/020 6, 20 (2004).
31. T. Prosen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036208 65, 036208 (2002).
32. T. Prosen and M. Žnidarič, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/6/309 35, 1455 (2002).
33. T. Prosen, T. H. Seligman, and M. Žnidarič, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 10.1143/PTPS.150.200 150, 200 (2003).
34. T. Gorin, H. Kohler, T. Prosen, T. H. Seligman, H. J. Stockmann, and M. Znidaric, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.244105 96, 244105 (2006).
35. Ph. Jacquod, P. G. Silvestrov, and C. W. J. Beenakker, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.055203 64, 055203 (R) (2001).
36. N. R. Cerruti and S. Tomsovic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.054103 88, 054103 (2002).
37. T. Prosen and M. Žnidarič, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/109 5, 109 (2003).
38. T. Prosen and M. Žnidarič, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.044101 94, 044101 (2005).
39. O. I. Lobkis and R. L. Weaver, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.254302 90, 254302 (2003).
40. T. Gorin, T. H. Seligman, and R. L. Weaver, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.015202 73, 015202 (R) (2006).
41. F. Leyvraz (private communication).
42. V. V. Flambaum, G. F. Gribakin, and F. M. Izrailev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.5729 53, 5729 (1996);
43. V. V. Flambaum and F. M. Izrailev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.2539 61, 2539 (2000).
44. Y. Alhassid, Ph. Jacquod, and A. Wobst, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.R13357 61, R13357 (2000).
45. M. L. Mehta, Random Matrices, revised and enlarged, 2nd ed. (Academic, London, 1991).
46. F.-M. Dittes, I. Rotter, and T. H. Seligman, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(91)90332-3 158, 14 (1991).