Quantum chaos triggered by precursors of a quantum phase transition: The Dicke model

Physical Review Letters

Volumn 90, Issue 4, 2003, Pages 441011-441014

  Emary, Clive ^a   Brandes, Tobias ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; PHASE TRANSITIONS; THERMODYNAMICS;

QUANTUM PHASE TRANSITION (QPT);

QUANTUM OPTICS;

EID: 0037473845     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. T. Guhr, A. Müller-Groeling, and H. A. Weiden müller, Phys. Rep. 299, 189 (1998); F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 2001).
2. T. Guhr, A. Müller-Groeling, and H. A. Weiden müller, Phys. Rep. 299, 189 (1998); F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 2001).
3. O. Bohigas, M. J. Giannoni, and C. Schmidt, Phys. Rev. Lett. 52, 1 (1984).
4. D. Delande and J. C. Gay, Phys. Rev. Lett. 57, 2006 (1986).
5. Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. 79, 1837 (1997).
6. B. Georgeot and D. L. Shepelyansky, Phys. Rev. Lett. 81, 5129 (1998); Phys. Rev. E 62, 3504 (2000).
7. B. Georgeot and D. L. Shepelyansky, Phys. Rev. Lett. 81, 5129 (1998); Phys. Rev. E 62, 3504 (2000).
8. W. D. Heiss and A. L. Sannino, Phys. Rev. A 43, 4159 (1991); W. D. Heiss and M. Müller, Phys. Rev. E 66, 016217 (2002).
9. W. D. Heiss and A. L. Sannino, Phys. Rev. A 43, 4159 (1991); W. D. Heiss and M. Müller, Phys. Rev. E 66, 016217 (2002).
10. Y. Alhassid and N. Whelan, Nucl. Phys. A556, 42 (1993); P. Cejnar and J. Jolie, Phys. Rev. E 58, 387 (1998).
11. Y. Alhassid and N. Whelan, Nucl. Phys. A556, 42 (1993); P. Cejnar and J. Jolie, Phys. Rev. E 58, 387 (1998).
12. For a review, see P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
13. I. K. Zharekeshev and B. Kramer, Phys. Rev. B 51, 17 239 (1995); Phys. Rev. Lett. 79, 717 (1997).
14. I. K. Zharekeshev and B. Kramer, Phys. Rev. B 51, 17 239 (1995); Phys. Rev. Lett. 79, 717 (1997).
15. R. H. Dicke, Phys. Rev. 93, 99 (1954).
16. R. Graham and M. Höhnerbach, Phys. Rev. Lett. 57, 1378 (1986).
17. C. H. Lewenkopf, M. C. Nemes, V. Marvulle, M. P. Pato, and W. F. Wrenszinski, Phys. Lett. A 155, 113 (1991).
18. K. Hepp and E. H. Lieb, Ann. Phys. (N.Y.) 76, 360 (1973); Y. K. Wang and F. T. Hioe, Phys. Rev. A 7, 831 (1973).
19. K. Hepp and E. H. Lieb, Ann. Phys. (N.Y.) 76, 360 (1973); Y. K. Wang and F. T. Hioe, Phys. Rev. A 7, 831 (1973).
20. A. V. Andreev, V. J. Emel'yanov, and Yu. A. Il'inskii, Cooperative Effects in Optics (IOP Publishing, Bristol, 1993); M. G. Benedict et al., Super-Radiance (IOP Publishing, Bristol, 1996).
21. A. V. Andreev, V. J. Emel'yanov, and Yu. A. Il'inskii, Cooperative Effects in Optics (IOP Publishing, Bristol, 1993); M. G. Benedict et al., Super-Radiance (IOP Publishing, Bristol, 1996).
22. P. R. Eastham and P. B. Littlewood, Phys. Rev. B 64, 235101 (2001).
23. M. Hillery and L. D. Mlodinow, Phys. Rev. A 31, 797 (1985).
24. T. Holstein and H. Primakoff, Phys. Rev. 58, 1098 (1949).
25. I. I. Rabi, Phys. Rev. 51, 652 (1937); R. F. Bishop and C. Emary, J. Phys. A 34, 5635 (2001).
26. I. I. Rabi, Phys. Rev. 51, 652 (1937); R. F. Bishop and C. Emary, J. Phys. A 34, 5635 (2001).
27. M. Kus, Phys. Rev. Lett. 54, 1343 (1985).
28. M. V. Berry and M. Tabor, Proc. R. Soc. London A 356, 375 (1977).
29. S. Fishman, D. R. Grempel, and R. E. Prange, Phys. Rev. Lett. 49, 509 (1982); Phys. Rev. A 29, 1639 (1984); R. E. Prange, in Quantum Chaos, edited by H. A. Cerdeira, R. Ramaswamy, M. C. Gutzwiller, and G. Casati (World Scientific, Singapore, 1991).
30. S. Fishman, D. R. Grempel, and R. E. Prange, Phys. Rev. Lett. 49, 509 (1982); Phys. Rev. A 29, 1639 (1984); R. E. Prange, in Quantum Chaos, edited by H. A. Cerdeira, R. Ramaswamy, M. C. Gutzwiller, and G. Casati (World Scientific, Singapore, 1991).
31. S. Fishman, D. R. Grempel, and R. E. Prange, Phys. Rev. Lett. 49, 509 (1982); Phys. Rev. A 29, 1639 (1984); R. E. Prange, in Quantum Chaos, edited by H. A. Cerdeira, R. Ramaswamy, M. C. Gutzwiller, and G. Casati (World Scientific, Singapore, 1991).
32. P. W. Milonni, J. R. Ackerhalt, and H. W. Galbraith, Phys. Rev. Lett. 50, 966 (1983); R. Graham and M. Höhnerbach, Z. Phys. B 57, 233 (1984).
33. P. W. Milonni, J. R. Ackerhalt, and H. W. Galbraith, Phys. Rev. Lett. 50, 966 (1983); R. Graham and M. Höhnerbach, Z. Phys. B 57, 233 (1984).