Geometric phase and quantum phase transition in the Lipkin-Meshkov-Glick model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 360, Issue 2, 2006, Pages 243-248

  Cui, H T ^a   Li, K ^a   Yi, X X ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; GROUND STATE; PHASE TRANSITIONS;

GEOMETRIC PHASE; LIPKIN-MESHKOV-GLICK MODEL; ORDER PARAMETER; QUANTUM PHASE TRANSITIONS;

QUANTUM THEORY;

EID: 33750457319     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.08.040     Document Type: Article

References (34)

1. Sachdev S. Quantum Phase Transition (1999), Cambridge Univ. Press, Cambridge
2. Preskill J. J. Mot. Opt. 47 (2000) 127
3. Osterloh A., Amico L., Falci G., and Fazio R. Nature 416 (2002) 608
4. Osborne T.J., and Nielsen M.A. Phys. Rev. A 66 (2002) 032110
5. Vidal G., Latorre J.I., Rico E., and Kitaev A. Phys. Rev. Lett. 90 (2003) 227902
6. Wu L.-A., Sarandy M.S., and Lidar D.A. Phys. Rev. Lett. 93 (2004) 250404
7. Latorre J.I., Rico E., and Vidal G. Quantum Inf. Comput. 4 (2004) 48
8. Gu S.-J., Tian G.-S., and Lin H.-Q. quant-ph/0509070
9. Yang M.F. Phys. Rev. A 71 (2005) 030302
10. Vidal J. Phys. Rev. A 73 (2006) 062318
11. Berry M.V. Proc. R. Soc. London A 392 (1984) 45
12. Carollo A.C.M., and Pachos J.K. Phys. Rev. Lett. 95 (2005) 157203
13. Pachos J.K., and Carollo A.C.M. quant-ph/0602154
14. Zhu S.L. Phys. Rev. Lett. 96 (2006) 077206
15. Hamma A. quant-ph/0602091
16. Lieb E., Schultz T., and Mattis D. Ann. Phys. 16 (1961) 407
17. Plastina F., Liberti G., and Carollo A. quant-ph/0604011
18. Lipkin H.J., Meshkov N., and Glick A.J. Nucl. Phys. 62 (1965) 188
19. Lipkin H.J., Meshkov N., and Glick A.J. Nucl. Phys. 62 (1965) 199
20. Lipkin H.J., Meshkov N., and Glick A.J. Nucl. Phys. 62 (1965) 211
21. Cirac J.I., Lewenstein M., Mølmer K., and Zoller P. Phys. Rev. A 57 (1998) 1208
22. Josephson B.D. Phys. Lett. 1 (1960) 251
23. Rowell J.W. Phys. Rev. Lett. 11 (1963) 200
24. Vidal J., Palacios G., and Mosseri R. Phys. Rev. A 69 (2004) 022107
25. Vidal J., Mosseri R., and Dukelsky J. Phys. Rev. A 69 (2004) 054101
26. Dusuel S., and Vidal J. Phys. Rev. Lett. 93 (2004) 237204
27. Unanyan R.G., Ionescu C., and Fleischhauer M. Phys. Rev. A 72 (2005) 022326
28. Botet R., Jullien R., and Pfeuty P. Phys. Rev. Lett. 49 (1982) 478
29. Botet R., and Jullien R. Phys. Rev. B 28 (1982) 3955
30. Dusuel S., and Vidal J. Phys. Rev. Lett. 93 (2004) 237204
31. Dusuel S., and Vidal J. Phys. Rev. B 71 (2005) 224420
32. The Appendix A in Ref. [8]
33. Vidal J., Arias J.M., Dukelsky J., and García-Ramos J. Phys. Rev. C 73 (2006) 054305
34. Tian G.-s., and Lin H.-Q. Phys. Rev. B 67 (2003) 245105