Spin squeezing as an indicator of quantum chaos in the Dicke model

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

Volumn 79, Issue 4, 2009, Pages

  Song, Lijun ^a   Yan, Dong ^a   Ma, Jian ^b   Wang, Xiaoguang ^b  

^a CHANGCHUN UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC REGIONS; COHERENT STATE; DICKE MODEL; DYNAMICAL PROCESS; IN-PHASE; PHASE SPACES; POINCARE; QUADRATURE SQUEEZING; QUANTUM CHAOS; QUANTUM DYNAMICS; QUANTUM PROPERTIES; REGULAR STRUCTURE; ROTATING WAVE APPROXIMATIONS; SPIN DIRECTION; SPIN SQUEEZING; TWO-QUBIT;

COHERENT LIGHT; PHASE SPACE METHODS; QUANTUM THEORY;

SPIN DYNAMICS;

EID: 66349111352     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.046220     Document Type: Article

References (71)

1. R. C. Hilborn, Chaos and Nonlinear Dynamics (Oxford University Press, Oxford, 2000).
2. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 2001).
3. F. Haake, Quantum Signature of Chaos (Springer-Verlag, Berlin, 1991).
4. E. J. Heller, Phys. Rev. Lett. 53, 1515 (1984). 10.1103/PhysRevLett.53. 1515
5. R. Schack, G. M. D'Ariano, and C. M. Caves, Phys. Rev. E 50, 972 (1994). 10.1103/PhysRevE.50.972
6. A. Peres, Phys. Rev. A 30, 1610 (1984) 10.1103/PhysRevA.30.1610
7. J. Emerson, Y. S. Weinstein, S. Lloyd, and D. G. Cory, Phys. Rev. Lett. 89, 284102 (2002). 10.1103/PhysRevLett.89.284102
8. Y. S. Weinstein and C. S. Hellberg, Phys. Rev. E 71, 016209 (2005) 10.1103/PhysRevE.71.016209
9. Y. S. Weinstein and C. S. Hellberg, Phys. Rev. E 71, 035203 (R) (2005). 10.1103/PhysRevE.71.035203
10. T. Gorin, T. Prosen, T. H. Seligman, and M. Anidarič, Phys. Rep. 435, 33 (2006). 10.1016/j.physrep.2006.09.003
11. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001). 10.1103/PhysRevLett.86.2490
12. Y. S. Weinstein and L. Viola, Europhys. Lett. 76, 746 (2006). 10.1209/epl/i2006-10354-7
13. K. Furuya, M. C. Nemes, and G. Q. Pellegrino, Phys. Rev. Lett. 80, 5524 (1998). 10.1103/PhysRevLett.80.5524
14. P. A. Miller and S. Sarkar, Phys. Rev. E 60, 1542 (1999). 10.1103/PhysRevE.60.1542
15. H. Fujisaki, T. Miyadera, and A. Tanaka, Phys. Rev. E 67, 066201 (2003). 10.1103/PhysRevE.67.066201
16. A. J. Scott and C. M. Caves, J. Phys. A 36, 9553 (2003). 10.1088/0305-4470/36/36/308
17. S. Bettelli and D. L. Shepelyansky, Phys. Rev. A 67, 054303 (2003). 10.1103/PhysRevA.67.054303
18. B. Georgeot and D. L. Shepelyansky, Phys. Rev. E 62, 6366 (2000). 10.1103/PhysRevE.62.6366
19. X. Wang, S. Ghose, B. C. Sanders, and B. Hu, Phys. Rev. E 70, 016217 (2004). 10.1103/PhysRevE.70.016217
20. M. Novaes and M. A. M. de Aguiar, Phys. Rev. E 70, 045201 (2004) 10.1103/PhysRevE.70.045201
21. M. Novaes, Ann. Phys. 318, 308 (2005). 10.1016/j.aop.2005.01.003
22. M. Kitagawa and M. Ueda, Phys. Rev. A 47, 5138 (1993). 10.1103/PhysRevA.47.5138
23. D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A 50, 67 (1994). 10.1103/PhysRevA.50.67
24. A. S. Sørensen, L.-M. Duan, J. I. Cirac, and P. Zoller, Nature (London) 409, 63 (2001) 10.1038/35051038
25. A. Søndberg Sørensen, Phys. Rev. A 65, 043610 (2002) 10.1103/PhysRevA.65.043610
26. A. S. Sørensen and K. Mølmer, Phys. Rev. Lett. 86, 4431 (2001). 10.1103/PhysRevLett.86.4431
27. H. Pu, W. Zhang, and P. Meystre, Phys. Rev. Lett. 89, 090401 (2002) 10.1103/PhysRevLett.89.090401
28. S. Raghavan, H. Pu, and N. P. Bigelow, Opt. Commun. 188, 149 (2001). 10.1016/S0030-4018(00)01163-9
29. A. Kuzmich, K. Mølmer, and E. S. Polzik, Phys. Rev. Lett. 79, 4782 (1997) 10.1103/PhysRevLett.79.4782
30. J. Hald, J. L. Sørensen, C. Schori, and E. S. Polzik, Phys. Rev. Lett. 83, 1319 (1999) 10.1103/PhysRevLett.83.1319
31. A. Kuzmich, L. Mandel, and N. P. Bigelow, Phys. Rev. Lett. 85, 1594 (2000) 10.1103/PhysRevLett.85.1594
32. L. Vernac, M. Pinard, and E. Giacobino, Phys. Rev. A 62, 063812 (2000). 10.1103/PhysRevA.62.063812
33. S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997) 10.1103/PhysRevLett.78.5022
34. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998). 10.1103/PhysRevLett.80. 2245
35. D. Ulam-Orgikh and M. Kitagawa, Phys. Rev. A 64, 052106 (2001). 10.1103/PhysRevA.64.052106
36. X. Wang and B. C. Sanders, Phys. Rev. A 68, 012101 (2003). 10.1103/PhysRevA.68.012101
37. K. N. Alekseev and D. S. Primak, JETP 86, 61 (1998) 10.1134/1.558469
38. K. N. Alekseev, Opt. Commun. 116, 468 (1995) 10.1016/0030-4018(95)91254-Y
39. K. N. Alekseev and J. Perina, Phys. Rev. E 57, 4023 (1998) 10.1103/PhysRevE.57.4023
40. K. N. Alekseev and J. Perina, Phys. Lett. A 231, 373 (1997). 10.1016/S0375-9601(97)00324-1
41. L. J. Song, X. Wang, D. Yan, and Z. G. Zong, J. Phys. B 39, 559 (2006). 10.1088/0953-4075/39/3/009
42. G. A. Finney and J. Gea-Banacloche, Phys. Rev. E 54, 1449 (1996) 10.1103/PhysRevE.54.1449
43. C. Emary and T. Brandes, Phys. Rev. Lett. 90, 044101 (2003) 10.1103/PhysRevLett.90.044101
44. C. Emary and T. Brandes, Phys. Rev. E 67, 066203 (2003) 10.1103/PhysRevE.67.066203
45. X. W. Hou and B. Hu, Phys. Rev. A 69, 042110 (2004) 10.1103/PhysRevA.69. 042110
46. L. Sanz and K. Furuya, e-print arXiv:quant-ph/0507025.
47. R. H. Dicke, Phys. Rev. 93, 99 (1954). 10.1103/PhysRev.93.99
48. G. R. Jin and S. W. Kim, Phys. Rev. Lett. 99, 170405 (2007) 10.1103/PhysRevLett.99.170405
49. G. R. Jin and S. W. Kim, Phys. Rev. A 76, 043621 (2007). 10.1103/PhysRevA.76.043621
50. M. K. Henry, J. Emerson, R. Martinez, and D. G. Cory, Phys. Rev. A 74, 062317 (2006). 10.1103/PhysRevA.74.062317
51. F. Haake, M. Ku, J. Mostowski, and R. Scharf, in Coherence, cooperation and fluctuations, edited by, F. Haake, L. Narducci, and, D. Walls, (Cambridge University Press, Cambridge, 1986), p. 220.
52. F. Haake, M. Ku, and R. Scharf, Z. Phys. B: Condens. Matter 65, 381 (1987). 10.1007/BF01303727
53. H. Frahm and H. J. Mikeska, Z. Phys. B: Condens. Matter 60, 117 (1985). 10.1007/BF01312650
54. G. J. Milburn, e-print arXiv:quant-ph/9908037.
55. G. M. D'Ariano, L. R. Evangelista, and M. Saraceno, Phys. Rev. A 45, 3646 (1992). 10.1103/PhysRevA.45.3646
56. B. C. Sanders and G. J. Milburn, Z. Phys. B: Condens. Matter 77, 497 (1989). 10.1007/BF01453801
57. E. Solano, G. S. Agarwal, and H. Walther, Phys. Rev. Lett. 90, 027903 (2003). 10.1103/PhysRevLett.90.027903
58. L. Davidovich, A. Maali, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 71, 2360 (1993). 10.1103/PhysRevLett.71.2360
59. J. I. Cirac, A. S. Parkins, R. Blatt, and P. Zoller, Adv. At., Mol., Opt. Phys. 37, 237 (1996).
60. E. Solano, R. L. de Matos Filho, and N. Zagury, Phys. Rev. Lett. 87, 060402 (2001). 10.1103/PhysRevLett.87.060402
61. W. M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990). 10.1103/RevModPhys.62.867
62. M. A. M de Aguiar, K. Furuya, C. H. Lewenkopf, and M. C. Nemes, Ann. Phys. 216, 291 (1992) 10.1016/0003-4916(92)90178-O
63. M. A. M de Aguiar, K. Furuya, C. H. Lewenkopf, and M. C. Nemes, Europhys. Lett. 15, 125 (1991). 10.1209/0295-5075/15/2/003
64. J. M. Radcliffe, J. Phys. A 4, 313 (1971). 10.1088/0305-4470/4/3/009
65. D. Stoler, B. E. A. Saleh, and M. C. Teich, Opt. Acta (London) 32, 345 (1985).
66. P. Kramer and M. Saraceno, Geometry of the Time-Dependent Variational Principle in Quantum Mechanics, Lecture Notes in Physics Vol. 140 (Springer-Verlag, New York, 1981).
67. A. Luk, V. Peřinová, and Z. Hradil, Acta Phys. Pol. A 74, 713 (1988)
68. A. Luk, V. Peřinová, and J. Peřina, Opt. Commun. 67, 149 (1988) 10.1016/0030-4018(88)90322-7
69. K. N. Alekseev and D. S. Primak, JETP 86, 61 (1998) 10.1134/1.558469
70. J. Bajer, A. Miranowicz, and R. Tana, Czech. J. Phys. 52, 1313 (2002). 10.1023/A:1021867510898
71. X. Wang and B. C. Sanders, Phys. Rev. A 68, 033821 (2003). 10.1103/PhysRevA.68.033821