Quantum phase transition of entanglement in Heisenberg spin model with quantized field

Quantum Optics and Quantum Information

Abstract.

In this paper, we investigate the entanglement of a two-spin system with Heisenberg exchange interaction in a quantized field. The pairwise entanglement between bipartite subsystems is obtained. It is shown that the entanglement exhibits a quantum phase transition due to the variation of exchang coupling. Phase diagrams are obtained explicitly. The analogy of the quantum phase transition compared to the case under a classical field are addressed.

PACS.

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bells inequalities, GHZ states, etc.) 75.10.Jm Quantized spin models 03.67.Lx Quantum computation 

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References

  1. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000) Google Scholar
  2. C.H. Bennett, D.P. DiVincenzo, Nature 404, 247 (2000) CrossRefADSGoogle Scholar
  3. C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, W.K. Wootters, Phys. Rev. A 54, 3824 (1996) MathSciNetCrossRefADSGoogle Scholar
  4. V. Vedral, M.B. Plenio, M.A. Rippin, P.L. Knight, Phys. Rev. Lett. 78, 2275 (1997) MATHMathSciNetCrossRefADSGoogle Scholar
  5. V. Vedral, M.B. Plenio, Phys. Rev. A 57, 1619 (1998) CrossRefADSGoogle Scholar
  6. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998) CrossRefADSGoogle Scholar
  7. M.A. Nielson, Ph.D. thesis, University of New Mexico, 1998, arXiv:quant-ph/0011036 Google Scholar
  8. M.C. Arnesen, S. Bose, V. Vedral, Phys. Rev. Lett. 87, 017901 (2001) CrossRefADSGoogle Scholar
  9. X. Wang, Phys. Rev. A 64, 012313 (2001); X. Wang, Phys. Rev. A 66, 034302 (2002); X. Wang, Phys. Rev. A 66, 044305 (2002) CrossRefADSGoogle Scholar
  10. D. Gunlycke, V.M. Kendon, V. Vedral, S. Bose, Phys. Rev. A 64, 042302 (2001) CrossRefADSGoogle Scholar
  11. G. Lagmago Kamta, A.F. Starace, Phys. Rev. Lett. 88, 107901 (2002) CrossRefADSGoogle Scholar
  12. Y. Sun, Y.G. Chen, H. Chen, Phys. Rev. A 68, 044301 (2003) CrossRefADSGoogle Scholar
  13. G.-F. Zhang et al., Eur. Phys. J. D 32, 409 (2005); G.-F. Zhang, S.-S. Li, Eur. Phys. J. D 37, 123 (2006) CrossRefGoogle Scholar
  14. J.H. Eberly, N.B. Narozhny, J.J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980) MathSciNetCrossRefADSGoogle Scholar
  15. R. Loudon, P. Knight, J. Mod. Opt. 34, 709 (1987) MATHMathSciNetADSGoogle Scholar
  16. I. Fuentes-Guridi, A. Carollo, S. Bose, V. Vedral, Phys. Rev. Lett. 89, 220404 (2002) MathSciNetCrossRefADSGoogle Scholar
  17. A. Carollo, I. Fuentes-Guridi, M. Franca Santos, V. Vedral, Phys. Rev. A 67, 063804 (2003) CrossRefADSGoogle Scholar
  18. L.C. Wang, H.T. Cui, X.X. Li, Phys. Rev. A 70, 052106 (2004) CrossRefADSGoogle Scholar
  19. T.J. Osborne, M.A. Nielsen, Phys. Rev. A 66, 032110 (2002) MathSciNetCrossRefADSGoogle Scholar
  20. R. Somma et al., Phys. Rev. A 70, 042311 (2004) MathSciNetCrossRefGoogle Scholar
  21. T. Roscilde et al., Phys. Rev. Lett. 93, 167203 (2004) CrossRefGoogle Scholar
  22. T. Roscilde et al., Phys. Rev. Lett. 94, 147208 (2005) CrossRefGoogle Scholar
  23. J. Reslen et al., Europhys. Lett. 69, 8 (2005) CrossRefGoogle Scholar
  24. L.-A. Wu et al., Phys. Rev. Lett. 93, 250404 (2004) MathSciNetCrossRefGoogle Scholar
  25. X. Peng, J. Du, D. Suter, Phys. Rev. A 71, 012307 (2005) CrossRefADSGoogle Scholar
  26. A. Osterloh et al., Nature 416, 608 (2002) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institute of Theoretical Physics, Shanxi UniversityTaiyuanP.R. China
  2. 2.Institute of Condensed Matter Physics, Linyi Normal UniversityLinyiP.R. China
  3. 3.Department of PhysicsQufu Normal UniversityQufuP.R. China
  4. 4.Department of PhysicsShaoxingP.R. China

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