Induced vs. spontaneous breakdown of S-matrix unitarity: Probability of no return in quantum chaotic and disordered systems

JETP Letters

Volumn 78, Issue 4, 2003, Pages 250-254

  Fyodorov, Y V ^a,b  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b PETERSBURG NUCLEAR PHYSICS INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242707587     PISSN: 00213640     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1622041     Document Type: Article

References (44)

1. E. Kogan, P. A. Mello, and H. Liqun, Phys. Rev. E 61, R17 (2000).
2. C. W. J. Beenakker and P. W. Brouwer, Physica E (Amsterdam) 9, 463 (2001).
3. S. A. Ramakrishna and N. Kumar, Phys. Rev. B 61, 3163 (2000).
4. D. V. Savin and H.-J. Sommers, cond-mat/0303083.
5. I. Rozhkov, Y. V. Fyodorov, and R. L. Weaver, Phys. Rev. E 68, 016204 (2003).
6. R. Schäfer, T. Gorin, T. H. Seligman, and H. J. Stockmann, J. Phys. A: Math. Gen. 36, 3289 (2003);
7. R. A. Mendez-Sanchez et al., cond-mat/0305090.
8. E. Doron, U. Smilansky, and A. Frenkel, Phys. Rev. Lett. 65, 3072 (1990).
9. O. Entin-Wohlman, A. Aharony, Y. Imry, et al., Phys. Rev. Lett. 88, 166801 (2002).
10. T. Sh. Misirpashaev and C. W. J. Beenakker, JETP Lett. 64, 319 (1996);
11. N. A. Bruce and J. T. Chalker, J. Phys. A: Math. Gen. 29, 3761 (1996).
12. V. Freilikher, M. Pustilnik, and I. Yurkevich, Phys. Rev. B 50, 6017 (1994);
13. P. Pradhan and N. Kumar, Phys. Rev. B 50, 9644 (1994);
14. M. Titov and C. W. J. Beenakker, Phys. Rev. Lett. 85, 3388 (2000).
15. Y. V. Fyodorov and H.-J. Sommers, J. Math. Phys. 38, 1918 (1997).
16. J. J. M. Verbaarschot, H. A. Weidenmueller, and M. R. Zimbauer, Phys. Rep. 129, 367 (1985).
17. T. Kottos and M. Weiss, Phys. Rev. Lett. 89, 056401 (2002);
18. A. Ossipov, Tsampikos Kottos, and T. Geisel, Phys. Rev. B 61, 11411 (2000);
19. Europhys. Lett. 62, 719 (2003).
20. P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, Phys. Rev. Lett. 78, 4737 (1997).
21. C. Texier and A. Comtet, Phys. Rev. Lett. 82, 4220 (1999);
22. S. K. Joshi, A. K. Gupta, and A. M. Jayannavar, Phys. Rev. B 58, 1092 (1998);
23. J. Heinrichs, Phys. Rev. B 65, 075112 (2002).
24. A. D. Mirlin and Y. V. Fyodorov, Phys. Rev. Lett. 72, 526 (1994);
25. J. Phys. I 4, 655 (1994).
26. K. B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge Univ. Press, Cambridge, 1997).
27. A. D. Mirlin and Y. V. Fyodorov, Europhys. Lett. 25, 669 (1994);
28. C. W. J. Beenakker, Phys. Rev. B 50, 15170 (1994).
29. H. Schomerus, M. Titov, P. W. Brouwer, and C. W. J. Beenakker, Phys. Rev. B 65, 121101 (2002);
30. M. Titov and H. Schomerus, Phys. Rev. B 67, 024410 (2003).
31. Y. V. Fyodorov and Y. Alhassid, Phys. Rev. A 58, R3375 (1998).
32. V. N. Prigodin, K. B. Efetov, and S. Iida, Phys. Rev. B 51, 17223 (1995).
33. P. W. Brouwer and C. W. J. Beenakker, Phys. Rev. B 50, 11263 (1994).
34. Y. V. Fyodorov and H.-J. Sommers, J. Phys. A: Math. Gen. 36, 3303 (2003);
35. see Eq. (69) of the paper;
36. W. A. Friedman and P. A. Mello, J. Phys. A: Math. Gen. 18, 425 (1985).
37. A. D. Mirlin, Phys. Rev. B 53, 1186 (1996).
38. A. A. Abrikosov, Solid State Commun. 37, 997 (1981).
39. A. D. Mirlin, Phys. Rep. 326, 259 (2000).
40. Y. V. Fyodorov and A. D. Mirlin, Int. J. Mod. Phys. B 8, 3795 (1994).
41. M. R. Zirnbauer, Phys. Rev. B 34, 6394 (1986);
42. A. D. Mirlin and Y. V. Fyodorov, Nucl. Phys. B 366, 507 (1991).
43. T. Kottos and U. Smilansky, Phys. Rev. Lett. 85, 968 (2000);
44. J. Phys. A: Math. Gen. 36, 3501 (2003).