Resonance distribution in open quantum chaotic systems

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

Volumn 78, Issue 4, 2008, Pages

  Nonnenmacher, S ^a   Schenck, E ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DECAY (ORGANIC); RESONANCE;

CHAOTIC CAVITIES; DECAY RATES; HIGH FREQUENCIES; NUMERICAL DATUMS; PARTIAL REFLECTIONS; QUANTUM CHAOTIC SYSTEMS; QUANTUM MAPS; RAY DYNAMICS;

CHAOTIC SYSTEMS;

EID: 56149091239     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.045202     Document Type: Article

References (30)

1. P. A. Moldauer, Phys. Rev. 171, 1164 (1968). 10.1103/PhysRev.171.1164
2. R. A. Jalabert, H. U. Baranger, and A. D. Stone, Phys. Rev. Lett. 65, 2442 (1990). 10.1103/PhysRevLett.65.2442
3. U. Kuhl, J. Phys. A 38, 10433 (2005). 10.1088/0305-4470/38/49/001
4. V. Doya, O. Legrand, F. Mortessagne, and C. Miniatura, Phys. Rev. Lett. 88, 014102 (2001). 10.1103/PhysRevLett.88.014102
5. C. Gmachl, Science 280, 1556 (1998). 10.1126/science.280.5369.1556
6. C. H. Lewenkopf and H.-A. Weidenmüller, Ann. Phys. (N.Y.) 212, 53 (1991). 10.1016/0003-4916(91)90372-F
7. Y. V. Fyodorov and H.-J. Sommers, J. Phys. A 36, 3303 (2003). 10.1088/0305-4470/36/12/326
8. T. Kottos, J. Phys. A 38, 10761 (2005). 10.1088/0305-4470/38/49/018
9. J. P. Keating, M. Novaes, and H. Schomerus, Phys. Rev. A 77, 013834 (2008). 10.1103/PhysRevA.77.013834
10. Y. Wei and Y. V. Fyodorov, e-print arXiv:0809.2726.
11. J. Sjöstrand, Publ. Res. Inst. Math. Sci. 36, 573 (2000). 10.2977/prims/1195142811
12. M. Lebental, J. S. Lauret, J. Zyss, C. Schmit, and E. Bogomolny, Phys. Rev. A 75, 033806 (2007). 10.1103/PhysRevA.75.033806
13. S. Shinohara and T. Harayama, Phys. Rev. E 75, 036216 (2007). 10.1103/PhysRevE.75.036216
14. J. Wiersig and J. Main, Phys. Rev. E 77, 036205 (2008). 10.1103/PhysRevE.77.036205
15. J.-M. Tualle and A. Voros, Chaos, Solitons Fractals 5, 1085 (1995). 10.1016/0960-0779(94)E0056-U
16. The Mathematical Aspects of Quantum Maps, edited by, M. Degli Esposti, and, S. Graffi, (Springer, Berlin, 2003).
17. H. Schomerus and J. Tworzydło, Phys. Rev. Lett. 93, 154102 (2004). 10.1103/PhysRevLett.93.154102
18. S. Nonnenmacher and M. Zworski, J. Phys. A 38, 10683 (2005). 10.1088/0305-4470/38/49/014
19. W. T. Lu, S. Sridhar, and M. Zworski, Phys. Rev. Lett. 91, 154101 (2003). 10.1103/PhysRevLett.91.154101
20. R. Dubertrand, E. Bogomolny, N. Djellali, M. Lebental, and C. Schmit, Phys. Rev. A 77, 013804 (2008); 10.1103/PhysRevA.77.013804
21. E. Bogomolny, e-print arXiv:0807.2374.
22. M. Asch and G. Lebeau, Exp. Math. 12, 227 (2003).
23. P. Gaspard and S. A. Rice, J. Chem. Phys. 90, 2242 (1989). 10.1063/1.456018
24. M. Ikawa, J. Philipp Med. Assoc. 38, 113 (1988);
25. S. Nonnenmacher and M. Zworski, e-print arXiv:0706.3242.
26. P. Walters, An Introduction to Ergodic Theory (Springer, Berlin, 1982).
27. M. Ratner, Isr. J. Math. 16, 181 (1973). 10.1007/BF02757869
28. E. Schenck (unpublished).
29. S.-Y. Lee, Phys. Rev. Lett. 93, 164102 (2004). 10.1103/PhysRevLett.93. 164102
30. M. Saraceno, Ann. Phys. (N.Y.) 199, 37 (1990). 10.1016/0003-4916(90) 90367-W