Entanglement and the generation of random states in the quantum chaotic dynamics of kicked coupled tops

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

Volumn 78, Issue 4, 2008, Pages

  Trail, Collin M ^a   Madhok, Vaibhav ^a   Deutsch, Ivan H ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BANACH SPACES; DYNAMICS; HILBERT SPACES; IMAGE SEGMENTATION; PHASE SPACE METHODS; QUANTUM OPTICS; RANDOM PROCESSES;

AVERAGE VALUES; CHAOTIC DYNAMICS; CHAOTIC SEAS; COHERENT STATES; COMPLEX VECTORS; FLOQUET; HAAR MEASURES; IN PHASE; INITIAL STATES; LOCALIZED WAVE PACKETS; MAXIMALLY ENTANGLED STATES; MIXED PHASE SPACES; PHASE SPACES; PHYSICAL MECHANISMS; PSEUDO RANDOMS; QUANTIZED VERSIONS; RANDOM DISTRIBUTIONS; RANDOM STATES; SUB SPACES; VALUE BASED;

CHAOTIC SYSTEMS;

EID: 55149113490     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.046211     Document Type: Article

References (52)

1. M. V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 10.1098/rspa.1977.0140 356, 375 (1977).
2. M. V. Berry, J. Phys. A 10.1088/0305-4470/10/12/016 10, 2083 (1977).
3. E. J. Heller, Phys. Rev. Lett. 10.1103/PhysRevLett.53.1515 53, 1515 (1984).
4. S. W. McDonald and A. N. Kaufman, Phys. Rev. Lett. 10.1103/PhysRevLett. 42.1189 42, 1189 (1979).
5. H.-J. Stöckmann and J. Stein, Phys. Rev. Lett. 10.1103/PhysRevLett. 64.2215 64, 2215 (1990).
6. W. H. Zurek, and J. P. Paz, Phys. Rev. Lett. 10.1103/PhysRevLett.72.2508 72, 2508 (1994).
7. K. Furuya, M. C. Nemes, and G. Q. Pellegrino, Phys. Rev. Lett. 10.1103/PhysRevLett.80.5524 80, 5524 (1998).
8. F. Haake, Quantum Signatures of Chaos (Spring-Verlag, Berlin, 1991).
9. P. A. Miller and S. Sarkar, Phys. Rev. E 10.1103/PhysRevE.60.1542 60, 1542 (1999).
10. J. Bandyopadhyay and A. Lakshminarayan, Phys. Rev. E 10.1103/PhysRevE.69. 016201 69, 016201 (2004).
11. Ph. Jacquod, Phys. Rev. Lett. 10.1103/PhysRevLett.92.150403 92, 150403 (2004).
12. C. Petitjean and Ph. Jacquod, Phys. Rev. Lett. 10.1103/PhysRevLett.97. 194103 97, 194103 (2006).
13. M. Znidaric and T. Prosen, J. Phys. A 10.1088/0305-4470/36/10/307 36, 2463 (2003).
14. A. Tanaka, H. Fujisaki, and T. Miyadera, Phys. Rev. E 10.1103/PhysRevE.66.045201 66, 045201 (R) (2002).
15. H. Fujisaki, T. Miyadera, and A. Tanaka, Phys. Rev. E 10.1103/PhysRevE.67.066201 67, 066201 (2003).
16. R. Demkowicz-Dobrzanski and M. Kus, Phys. Rev. E 10.1103/PhysRevE.70. 066216 70, 066216 (2004).
17. J. N. Bandyopadhyay and A. Lakshminarayan, Phys. Rev. Lett. 10.1103/PhysRevLett.89.060402 89, 060402 (2002).
18. A. Lakshminarayan, Phys. Rev. E 10.1103/PhysRevE.64.036207 64, 036207 (2001).
19. M. Mehta, Random Matrices, 2nd ed. (Academic Press, San Diego, 1991).
20. M. Znidaric, J. Phys. A: Math. Theor. 40, F105 (2007).
21. T. Gorin and T. H. Seligman, J. Opt. B: Quantum Semiclassical Opt. 10.1088/1464-4266/4/4/325 4, S386 (2002).
22. T. Gorin and T. H. Seligman, Phys. Lett. A 10.1016/S0375-9601(03)00131-2 309, 61 (2003).
23. A. Scott and C. Caves, J. Phys. A 10.1088/0305-4470/36/36/308 36, 9553 (2003).
24. R. F. Abreu and R. O. Vallejos, Phys. Rev. A 10.1103/PhysRevA.73.052327 73, 052327 (2006).
25. Y. S. Weinstein and L. Viola, Europhys. Lett. 10.1209/epl/i2006-10354-7 76, 746 (2006).
26. L. Viola, J. Phys. A 10.1088/1751-8113/40/28/S17 40, 8109 (2007).
27. W. G. Brown, L. F. Santos, D. J. Starling, and L. Viola, Phys. Rev. E 10.1103/PhysRevE.77.021106 77, 021106 (2008).
28. S. Ghose and B. C. Sanders, Phys. Rev. A 10.1103/PhysRevA.70.062315 70, 062315 (2004).
29. X. Wang, S. Ghose, B. C. Sanders, and B. Hu, Phys. Rev. E 10.1103/PhysRevE.70.016217 70, 016217 (2004).
30. O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 10.1103/PhysRevLett.52.1 52, 1 (1984).
31. I. Percival, J. Phys. B 10.1088/0022-3700/6/9/002 6, L229 (1973).
32. S. R. de Echaniz, Phys. Rev. A 10.1103/PhysRevA.77.032316 77, 032316 (2008).
33. R. V. Puri, Mathematical Methods of Quantum Optics (Springer-Verlag, Berlin, 2001).
34. O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. 10.1016/0370-1573(93) 90109-Q 223, 43 (1993).
35. K. Zyczkowski, Physica E (Amsterdam) 10.1016/S1386-9477(00)00266-6 9, 583 (2001).
36. T. Gorin, H. Korsch, and B. Mirbach, Chem. Phys. 10.1016/S0301-0104(97) 00036-0 217, 145 (1997).
37. W. Wootters, Found. Phys. 10.1007/BF01883491 20, 1365 (1990).
38. F. Dyson, J. Math. Phys. 10.1063/1.1703773 3, 140 (1961).
39. K. Zyczkowski and M. Kus, J. Phys. A 24, 4235 (1994).
40. D. N. Page, Phys. Rev. Lett. 10.1103/PhysRevLett.71.1291 71, 1291 (1993);
41. C. M. Caves, http://info.phys.unm.edu/caves/reports/measures.pdf
42. P. W. Hayden, D. W. Leung, and A. Winter, Commun. Math. Phys. 10.1007/s00220-006-1535-6 265, 95 (2006).
43. O. Giraud, J. Martin, and B. Georgeot, Phys. Rev. A 10.1103/PhysRevA.76. 042333 76, 042333 (2007).
44. K. Zyczkowski, J. Phys. A 10.1088/0305-4470/23/20/005 23, 4427 (1990).
45. W. Brown, L. Santos, D. Starling, and L. Viola, Phys. Rev. E 10.1103/PhysRevE.77.021106 77, 021106 (2008).
46. M. Kus, J. Mostowski, and F. Haake, J. Phys. A 10.1088/0305-4470/21/22/ 006 21, L1073 (1988).
47. S. Zelditch and M. Zworski, Commun. Math. Phys. 175, 673 (1996).
48. E. B. Stechel and E. J. Heller, Annu. Rev. Phys. Chem. 10.1146/annurev.physchem.35.1.563 35, 563 (1984).
49. A. Peres, Phys. Rev. E 10.1103/PhysRevE.53.4524 53, 4524 (1996).
50. J. Emerson, Science 10.1126/science.1090790 302, 2098 (2003).
51. R. F. Abreu and R. O. Vallejos, Phys. Rev. A 10.1103/PhysRevA.75.062335 75, 062335 (2007).
52. M. V. Berry, Proc. R. Soc. London, Ser. A 413, 183 (1987).