Entanglement, avoided crossings, and quantum chaos in an Ising model with a tilted magnetic field

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 2, 2007, Pages

  Karthik, J ^a,b   Sharma, Auditya ^a,c   Lakshminarayan, Arul ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b University of Illinois at Urbana Champaign   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; HAMILTONIANS; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; QUANTUM THEORY;

ISING MODELS; NONSTATIONARY STATES; QUANTUM CHAOS; TWO-BODY CORRELATIONS;

CHAOS THEORY;

EID: 33846873267     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.022304     Document Type: Article

References (60)

1. K. M. O'Connor and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052302 63, 052302 (2001).
2. K. A. Dennison and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.010301 65, 010301 (2002).
3. D. Gunlycke, V. M. Kendon, V. Vedral, and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.042302 64, 042302 (2001).
4. T. J. Osborne and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032110 66, 032110 (2002).
5. A. Osterloh, Luigi Amico, G. Falci, and Rosario Fazio, Nature (London) NATUAS 0028-0836 10.1038/416608a 416, 608 (2002).
6. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003).
7. P. Stelmachovic and V. Buzek, e-print quant-ph/0312154.
8. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 10.1103/PhysRevLett.90.227902 4, 48 (2004).
9. M. Koniorczyk, P. Rapcan, and V. Buzek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022321 72, 022321 (2005).
10. A. Lakshminarayan and V. Subrahmanyam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062334 71, 062334 (2005).
11. C. Mejia-Monasterio, G. Benenti, G. G. Carlo, and G. Casati, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062324 71, 062324 (2005).
12. Indrani Bose and Amit Tribedi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022314 72, 022314 (2005);
13. Amit Tribedi and Indrani Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.012314 74, 012314 (2006).
14. T. Boness, S. Bose, and T. S. Monteiro, e-print quant-ph/0602106..
15. M. A. Neilsen and I. L. Chaung, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000);
16. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic Publishers, Dordrecht, 1993);
17. J. Preskill, http://www.theory.caltech.edu/people/preskill/ph229
18. K. Furuya, M. C. Nemes, and G. Q. Pellegrino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5524 80, 5524 (1998);
19. P. A. Miller and S. Sarkar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.1542 60, 1542 (1999).
20. A. Lakshminarayan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64. 036207 64, 036207 (2001);
21. J. N. Bandyopadhyay and A. Lakshminarayan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.060402 89, 060402 (2002);
22. J. N. Bandyopadhyay and A. Lakshminarayan, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.016201 69, 016201 (2004).
23. A. Tanaka, H. Fujisaki, and T. Miyadera, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.045201 66, 045201 (2002);
24. H. Fujisaki, T. Miyadera, and A. Tanaka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.066201 67, 066201 (2003).
25. T. Prosen, T. H. Seligman, and M. Znidaric, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.042112 67, 042112 (2003);
26. M. Znidaric and T. Prosen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/10/307 36, 2463 (2003).
27. A. Lahiri and S. Nag, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta. 2003.09.009 318, 6 (2003).
28. A. J. Scott and C. M. Caves, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/36/308 36, 9553 (2003).
29. Ph. Jacquod, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 150403 92, 150403 (2004).
30. S. Ghose and B. C. Sanders, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062315 70, 062315 (2004).
31. R. Demkowicz-Dobrzański and M. Kuś, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066216 70, 066216 (2004).
32. Y. S. Weinstein and C. S. Hellberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.030501 95, 030501 (2005);
33. Y. S. Weinstein and L. Viola, e-print quant-ph/0603071
34. Y. S. Weinstein and L. Viola, Europhys. Lett. EULEEJ 0295-5075 (to be published).
35. L. F. Santos, G. Rigolin, and C. O. Escobar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042304 69, 042304 (2004).
36. A. Lakshminarayan and V. Subrahmanyam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052304 67, 052304 (2003).
37. X. Wang, H. Li, and B. Hu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.054303 69, 054303 (2004);
38. H. Li, X. Wang, and B. Hu, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/44/014 37, 10665 (2004).
39. F. Haake, Quantum Signature of Chaos, 2nd ed. (Springer-Verlag, Berlin, 2001).
40. J. von Neumann and E. Wigner, Phys. Z. PHZTAO 0369-982X 30, 465 (1929);
41. L. D. Landau and E. M. Lifshitz, Quantum Physics, 3rd ed., Course of Theoretical Physics Vol. 3 (Pergamon Press, Oxford, 1991).
42. K. Na and L. E. Reichl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.063405 70, 063405 (2004);
43. T. Timberlake and L. E. Reichl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.2886 59, 2886 (1999).
44. D. Bruss, N. Datta, A. Ekert, L. C. Kwek, and C. Macchiavello, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.014301 72, 014301 (2005).
45. R. G. Unanyan, M. Fleischhauer, N. V. Vitanov, and K. Bergmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.042101 66, 042101 (2002).
46. S. Braungardt, Aditi Sen De, Ujjwal Sen, and M. Lewenstein, e-print quant-ph/0607053.
47. P. Jordan and E. Wigner, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01331938 47, 631 (1928).
48. E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(61)90115-4 16, 406 (1961);
49. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 1999).
50. T. Prosen, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 139, 191 (2000);
51. T. Prosen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036208 65, 036208 (2002);
52. T. Prosen, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.09.017 187, 244 (2004).
53. T. Prosen and M. Znidaric, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.015202 75, 015202 (2007).
54. S. Hill and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.5022 78, 5022 (1997);
55. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 80, 2245 (1998).
56. D. A. Meyer and N. R. Wallach, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1497700 43, 4273 (2002).
57. G. K. Brennen, Quantum Inf. Comput. QICUAW 1533-7146 3, 619 (2003).
58. N. Linden, S. Popescu, and J. A. Smolin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.100502 97, 100502 (2006).
59. V. Subrahmanyam and A. Lakshminarayan, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2005.09.021 349, 164 (2006).
60. M. L. Mehta, Random Matrices (Academic Press, New York, 1991).