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International Journal of Theoretical Physics

, Volume 55, Issue 3, pp 1506–1514 | Cite as

Quantum Entanglement and Quantum Discord of a Two-Qubit System in a Dissipative Cavity

  • H. Aiobi
  • S. Salimi
  • A.S. Khorashad
Article

Abstract

The goal of this work is to investigate quantum entanglement and quantum discord of a pair of two-level atoms which is driven by an external classical field and interacts with a cavity field. After extracting density matrix of the atom-atom subsystem, it is shown that we have stronger quantum discord by increasing atom-field coupling constant for the case in which there is no entanglement. Moreover, for the atom-atom subsystem it is realized that quantum entanglement and quantum discord cannot increase, they decrease after passing some times due to cavity dissipation. Also quantum entanglement and quantum discord decrease faster by increasing atom-field coupling constant.

Keywords

Quantum discord Quantum entanglement 

References

  1. 1.
    Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)ADSMATHCrossRefGoogle Scholar
  2. 2.
    Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATHGoogle Scholar
  3. 3.
    Chen, L., Chitambar, E., Duan, R.Y., Ji, Z.F., Winter, A.: Phys. Rev. Lett. 105, 200–501 (2010)Google Scholar
  4. 4.
    Yu, T., Eberly, J.H.: Phys. Rev. Lett. 93, 140–404 (2004)Google Scholar
  5. 5.
    Jamroz A.: J. Phys. A :Math. Theor. 39, 7727 (2006)Google Scholar
  6. 6.
    Jaynes, E.T., Cummings, F.W.: Proc. IEEE 51, 89 (1963)CrossRefGoogle Scholar
  7. 7.
    Peixoto de Faria, J.G., Nemes, M.C.: Phys. Rev. A 59, 3918 (1999)ADSCrossRefGoogle Scholar
  8. 8.
    Zhou, L., Song, H.S., Luo, Y.X., Li, C.: Phys. Lett. A 284, 156 (2001)ADSMATHCrossRefGoogle Scholar
  9. 9.
    Rendel, R.W., Rajagopal: Phys. Rev. A 67, 062–110 (2003)Google Scholar
  10. 10.
    Dodonov, V.V., Jose, W.D., Mizrahi, S.S.: J. Opt. B: Quantum Semiclass. Opt. 5, S567 (2003)ADSCrossRefGoogle Scholar
  11. 11.
    Gea-Banacloche, J., Burt, T.C., Rice, P.R., Orozco, L.A.: Phys. Rev. Lett. 94, 053–603 (2005)Google Scholar
  12. 12.
    Janowicz, M., Orlowski, A.: J. Phys. B: At. Mol. Opt. Phys. 39, 1763 (2006)ADSCrossRefGoogle Scholar
  13. 13.
    Akhtarshenas, S.J., Khezrian, M.: Eur. Phys. J. D 57, 271 (2010)ADSCrossRefGoogle Scholar
  14. 14.
    Bennett, C.H., DiVincenzo, D.P., Fuchs, C.A., Mor, T., Rains, E., Shor, P.W., Smolin, J.A., Wootters, W.K.: Phys. Rev. A 59, 1070 (1999)ADSMathSciNetCrossRefGoogle Scholar
  15. 15.
    Niset, J., Cerf, N.J.: Phys. Rev. A 74, 052–103 (2006)CrossRefGoogle Scholar
  16. 16.
    Ollivier, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017–901 (2001)CrossRefGoogle Scholar
  17. 17.
    Henderson, L., Vedral, V.: J. Phys. A: Math. Theor. 34, 6899 (2001)ADSMATHMathSciNetCrossRefGoogle Scholar
  18. 18.
    Datta, A.: Studies on the role of entanglement in mixed-state quantum computation, Ph. D. thesis, University of New Mexico (2008)Google Scholar
  19. 19.
    Bennett, C.H., Brassard, G., Crpeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)ADSMATHMathSciNetCrossRefGoogle Scholar
  20. 20.
    Yeo, Y., Chua, W.K.: Phys. Rev. Lett. 96, 060–502 (2006)CrossRefGoogle Scholar
  21. 21.
    Wootters, W.K.: Entanglement of formation and concurrence. Quantum Inf. Comput. 1(1), 27 (2001)MATHMathSciNetGoogle Scholar
  22. 22.
    Ali, M., Rua, A.R.P., Alber, G.: Phys. Rev. A 81, 042105 (2010)Google Scholar
  23. 23.
    Rulli, C.C., Saranndy, M.S.: Phys. Rev. A 84, 042109 (2011)Google Scholar
  24. 24.
    Mahdian, M., Yousefjani, R., Salimi, S.: Eur. Phys. J. D 66, 133 (2012)ADSCrossRefGoogle Scholar
  25. 25.
    Bina, M., Casagrande, F., Lulli, A., Solano, E.: Phys. Rev. A 77, 033839 (2008)Google Scholar
  26. 26.
    Solano, E., Agarwal, G.S., Walther, H.: Phys. Rev. Lett. 90, 027–903 (2003)CrossRefGoogle Scholar
  27. 27.
    Lougovski, P., Solano, E., Walther, H.: Phys. Rev. A 71, 013–811 (2005)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of KurdistanSanandajIran

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