Quantum critical dynamics of a qubit coupled to an isotropic Lipkin-Meshkov-Glick bath

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 1, 2007, Pages

  Quan, H T ^a,b   Wang, Z D ^a   Sun, C P ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; COHERENT LIGHT; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; QUANTUM THEORY;

LIPKIN-MESHKOV-GLICK BATH; QUANTUM COHERENCE;

MOLECULAR STRUCTURE;

EID: 34547358660     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.012104     Document Type: Article

References (50)

1. S. Sachdev, Quantum Phase Transition (Cambridge University Press, Cambridge, UK, 1999).
2. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) NATUAS 0028-0836 10.1038/416608a 416, 608 (2002);
3. T. J. Osborne and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032110 66, 032110 (2002);
4. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003);
5. Y. Chen, P. Zanardi, Z. D. Wang, and F. C. Zhang, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/6/097 8, 97 (2006);
6. Y. Chen, Z. D. Wang, and F. C. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.224414 73, 224414 (2006).
7. H. J. Lipkin, N. Meshkov, and A. J. Glick, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90862-X 62, 188 (1965);
8. N. Meshkov, A. J. Glick, and H. J. Lipkin, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90862-X 62, 199 (1965);
9. A. J. Glick, H. J. Lipkin, and N. Meshkov, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90862-X 62, 211 (1965).
10. R. H. Dicke, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.93.99 93, 99 (1954).
11. S. L. Zhu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 077206 96, 077206 (2006).
12. J. van Wezel, J. van den Brink, and J. Zaanen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.230401 94, 230401 (2005);
13. J. van Wezel, J. Zaanen, and J. van den Brink, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.094430 74, 094430 (2006);
14. J. van Wezel and J. van den Brink, J. Magn. Magn. Mater. JMMMDC 0304-8853 310, e503 (2007);
15. J. van Wezel and J. van den Brink, e-print arXiv:physics/0609177.
16. S. Paganelli, F. de Pasquale, and S. M. Giampaolo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.052317 66, 052317 (2002);
17. M. Lucamarini, S. Paganelli, and S. Mancini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062308 69, 062308 (2004).
18. H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.140604 96, 140604 (2006);
19. D. Rossini, J. Phys. A JPHAC5 0305-4470 40, 8033 (2007).
20. W. H. Zurek, F. M. Cucchietti, and J. P. Paz, e-print arXiv:quant-ph/0312207;
21. W. H. Zurek, F. M. Cucchietti, and J. P. Paz, Acta Phys. Pol. B APOBBB 0587-4254 38, 1685 (2007).
22. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
23. D. V. Khveshchenko, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68. 193307 68, 193307 (2003).
24. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
25. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022107 69, 022107 (2004);
26. R. Somma, G. Ortiz, H. Barnum, E. Knill, and L. Viola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.042311 70, 042311 (2004);
27. S. Dusuel and J. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237204 93, 237204 (2004).
28. S. Dusuel and J. Vidal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.224420 71, 224420 (2005);
29. J. I. Latorre, R. Orus, E. Rico, and J. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.064101 71, 064101 (2005).
30. T. Barthel, S. Dusuel, and J. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.220402 97, 220402 (2006).
31. F. M. Cucchietti, D. A. R. Dalvit, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.210403 91, 210403 (2003);
32. X. S. Ma, A. M. Wang, X. D. Yang, and H. You, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/12/016 38, 2761 (2005), and references therein.
33. X. Z. Yuan and K. D. Zhu, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10448-2 69, 868 (2005);
34. X. Z. Yuan, K. D. Zhu, and Z. J. Wu, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2005-00023-y 33, 129 (2005);
35. X. S. Ma, A. M. Wang, X. D. Yang, and H. You, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/12/016 38, 2761 (2005).
36. A. Olaya-Castro, N. F. Johnson, and L. Quiroga, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/6/8/016 6, S730 (2004);
37. Y. Hamdouni, M. Fannes, and F. Petruccione, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.245323 73, 245323 (2006).
38. L. Tessieri and J. Wilkie, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/49/012 36, 12305 (2003);
39. C. M. Dawson, A. P. Hines, R. H. McKenzie, and G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052321 71, 052321 (2005).
40. B. Buck and C. V. Sukumar, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(81)90042-6 81A, 132 (1981);
41. B. Buck and C. V. Sukumar, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/17/4/029 17, 885 (1984);
42. V. Buzek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.3196 39, 3196 (1989);
43. X. Wang, Chin. Sci. Bull. CSBUEF 1001-6538 41, 17 (1996).
44. J. Reslen, L. Quroga, and N. F. Johnson, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10313-4 69, 8 (2005);
45. G. Liberti and R. L. Zaffino, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00153-0 44, 535 (2005);
46. J. Vidal and S. Dusuel, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10041-9 74, 817 (2006).
47. T. Holstein and H. Primakoff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.58.1098 58, 1098 (1940).
48. G. R. Jin, P. Zhang, Y. X. Liu, and C. P. Sun, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.134301 68, 134301 (2003).
49. F. M. Cucchietti, S. Fernandez-Vidal, and J. P. Paz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032337 75, 032337 (2007).
50. P. Zanardi, H. T. Quan, X. G. Wang, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032109 75, 032109 (2007).