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International Journal of Theoretical Physics

, Volume 49, Issue 11, pp 2672–2679 | Cite as

Off-diagonal Geometric Phase of Two-Qubit System

  • Guo-Qiang Zhu
Article
  • 70 Downloads

Abstract

This paper focuses on the off-diagonal geometric phase of the thermal state of a two-qubit system under the external magnetic field. The properties of geometric phases of the state in critical and non-critical regions are discussed respectively. The sudden change of structure of degeneracy at the critical point do not affect the geometric phase of the model. Increasing temperature tends to suppress the off-diagonal geometric phase. The relationship between the geometric phase and external magnetic field is also discussed.

Keywords

Geometric phase Thermal state 

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References

  1. 1.
    Pacharatnam, S.: Proc. Indian Acad. Sci. Sect. A 44, 247 (1956) MathSciNetGoogle Scholar
  2. 2.
    Berry, M.V.: Proc. R. Soc. Lond. A 392, 45 (1984) MATHCrossRefADSGoogle Scholar
  3. 3.
    Simon, B.: Phys. Rev. Lett. 51, 2167 (1983) CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    Zanardi, P., Rasetti, M.: Phys. Lett. A 264, 94 (1999) MATHCrossRefMathSciNetADSGoogle Scholar
  5. 5.
    Pachos, J., Zanardi, P., Rasetti, M.: Phys. Rev. A 61, 010305(R) (2000) MathSciNetADSGoogle Scholar
  6. 6.
    Carollo, A.C.M., Pachos, J.K.: Phys. Rev. Lett. 95, 157203 (2005) CrossRefADSGoogle Scholar
  7. 7.
    Zhu, S.-L.: Phys. Rev. Lett. 96, 077206 (2006) CrossRefADSGoogle Scholar
  8. 8.
    Uhlmann, A.: Rep. Math. Phys. 24, 229 (1986) MATHCrossRefMathSciNetADSGoogle Scholar
  9. 9.
    Uhlmann, A.: Lett. Math. Phys. 21, 229 (1991) MATHCrossRefMathSciNetADSGoogle Scholar
  10. 10.
    Sjöqvist, E., Pati, A.K., Ekert, A., Anandan, J.S., Ericsson, M., Oi, D.K.L., Vedral, V.: Phys. Rev. Lett. 85, 2845 (2000) CrossRefADSGoogle Scholar
  11. 11.
    Singh, K., Tong, D.M., Basu, K., Chen, J.L., Du, J.F.: Phys. Rev. A 67, 032106 (2003) CrossRefADSGoogle Scholar
  12. 12.
    Tong, D.M., Sjöqvist, E., Kwek, L.C., Oh, C.H.: Phys. Rev. Lett. 93, 080405 (2004) CrossRefADSGoogle Scholar
  13. 13.
    Manini, N., Pistolesi, F.: Phys. Rev. Lett. 85, 3067 (2000) CrossRefADSGoogle Scholar
  14. 14.
    Hasegawa, Y., Loidl, R., Baron, M., Badurek, G., Rauch, H.: Phys. Rev. Lett. 87, 070401 (2001) CrossRefADSGoogle Scholar
  15. 15.
    Hasegawa, Y., Loidl, R., Badurek, G., Baron, M., Manini, N., Pistolesi, F., Rauch, H.: Phys. Rev. A 65, 052111 (2002) CrossRefADSGoogle Scholar
  16. 16.
    Filipp, S., Sjöqvist, E.: Phys. Rev. Lett. 90, 050403 (2003) CrossRefMathSciNetADSGoogle Scholar
  17. 17.
    Tong, D.M., Sjöqvist, E., Filipp, S., Kwek, L.C., Oh, C.H.: Phys. Rev. A 71, 032106 (2005) CrossRefADSGoogle Scholar
  18. 18.
    Filipp, S., Sjöqvist, E.: Phys. Rev. Lett. 90, 050403 (2003) CrossRefMathSciNetADSGoogle Scholar
  19. 19.
    Filipp, S., Sjöqvist, E.: Phys. Rev. A 68, 042112 (2003) CrossRefADSGoogle Scholar
  20. 20.
    Yi, X.X., Chang, J.L.: Phys. Rev. A 70, 012108 (2004) CrossRefADSGoogle Scholar
  21. 21.
    Pethick, C.J., Smith, H.: Bose-Einstein Condensation in Dilute Gases. Cambridge Press, Cambridge (2002) Google Scholar
  22. 22.
    Rezakhani, A.T., Zanardi, P.: Phys. Rev. A 73, 052117 (2006) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Laboratory for Quantum Information and Department of Applied PhysicsChina Jiliang UniversityHangzhouP.R. China

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