Partial-state fidelity and quantum phase transitions induced by continuous level crossing

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 6, 2008, Pages

  Kwok, Ho Man ^a   Ho, Chun Sing ^a   Gu, Shi Jian ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CROSSINGS (PIPE AND CABLE); ELECTRON TUNNELING; RAILROAD CROSSINGS;

HEISENBERG MODELS; LEVEL CROSSINGS; LMG MODELS; PHASE TRANSITION POINTS; QUANTUM PHASE TRANSITIONS; SIZE SCALING; THERMODYNAMIC LIMITS;

PHASE TRANSITIONS;

EID: 57349170303     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.062302     Document Type: Article

References (29)

1. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 1999).
2. M. A. Nilesen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
3. H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. 96, 140604 (2006). 10.1103/PhysRevLett.96.140604
4. P. Zanardi and N. Paunkovic, Phys. Rev. E 74, 031123 (2006). 10.1103/PhysRevE.74.031123
5. H. Q. Zhou and J. P. Barjaktarevic, e-print arXiv:cond-mat/0701608;
6. H. Q. Zhou, J. H. Zhao, and B. Li, e-print arXiv:0704.2940;
7. H. Q. Zhou, e-print arXiv:0704.2945.
8. P. Zanardi, M. Cozzini, and P. Giorda, J. Stat. Mech.: Theory Exp. (2007), L02002. 10.1088/1742-5468/2007/02/L02002
9. P. Buonsante and A. Vezzani, Phys. Rev. Lett. 98, 110601 (2007). 10.1103/PhysRevLett.98.110601
10. M. Cozzini, P. Giorda, and P. Zanardi, Phys. Rev. B 75, 014439 (2007). 10.1103/PhysRevB.75.014439
11. M. Cozzini, R. Ionicioiu, and P. Zanardi, Phys. Rev. B 76, 104420 (2007). 10.1103/PhysRevB.76.104420
12. S. Chen, L. Wang, S. J. Gu, and Y. Wang, Phys. Rev. E 76, 061108 (2007); 10.1103/PhysRevE.76.061108
13. S. Chen, L. Wang, Y. Hao, and Y. Wang, Phys. Rev. A 77, 032111 (2008). 10.1103/PhysRevA.77.032111
14. P. Zanardi, P. Giorda, and M. Cozzini, Phys. Rev. Lett. 99, 100603 (2007). 10.1103/PhysRevLett.99.100603
15. W. L. You, Y. W. Li, and S. J. Gu, Phys. Rev. E 76, 022101 (2007). 10.1103/PhysRevE.76.022101
16. L. Campos Venuti and P. Zanardi, Phys. Rev. Lett. 99, 095701 (2007). 10.1103/PhysRevLett.99.095701
17. S. J. Gu, H. M. Kwok, W. Q. Ning, and H. Q. Lin, Phys. Rev. B 77, 245109 (2008). 10.1103/PhysRevB.77.245109
18. M. F. Yang, Phys. Rev. B 76, 180403 (R) (2007). 10.1103/PhysRevB.76. 180403
19. Y. C. Tzeng and M. F. Yang, Phys. Rev. A 77, 012311 (2008). 10.1103/PhysRevA.77.012311
20. H. M. Kwok, W. Q. Ning, S. J. Gu, and H. Q. Lin, Phys. Rev. E 78, 032103 (2008). 10.1103/PhysRevE.78.032103
21. N. Paunković, P. D. Sacramento, P. Nogueira, V. R. Vieira, and V. K. Dugaev, Phys. Rev. A 77, 052302 (2008). 10.1103/PhysRevA.77.052302
22. X. Wang, Z. Sun, and Z. D. Wang, e-print arXiv:0803.2940.
23. J. Ma, L. Xu, H. Xiong, and X. G. Wang, e-print arXiv:0805.4062.
24. J. Ma, L. Xu, and X. G. Wang, e-print arXiv:0808.1816.
25. H. Xiong, J. Ma, Z. Sun, and X. G. Wang, e-print arXiv:0808.1817.
26. H. J. Lipkin, N. Meshkov, and A. J. Glick, Nucl. Phys. 62, 188 (1965). 10.1016/0029-5582(65)90862-X
27. S. Dusuel and J. Vidal, Phys. Rev. B 71, 224420 (2005). 10.1103/PhysRevB.71.224420
28. P. Ribeiro, J. Vidal, and R. Mosseri, Phys. Rev. Lett. 99, 050402 (2007). 10.1103/PhysRevLett.99.050402
29. H. A. Bethe, Z. Phys. 71, 205 (1931). 10.1007/BF01341708