Skip to main content
Log in

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

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)

    Article  ADS  MATH  Google Scholar 

  2. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  3. Chen, L., Chitambar, E., Duan, R.Y., Ji, Z.F., Winter, A.: Phys. Rev. Lett. 105, 200–501 (2010)

    Google Scholar 

  4. Yu, T., Eberly, J.H.: Phys. Rev. Lett. 93, 140–404 (2004)

    Google Scholar 

  5. Jamroz A.: J. Phys. A :Math. Theor. 39, 7727 (2006)

  6. Jaynes, E.T., Cummings, F.W.: Proc. IEEE 51, 89 (1963)

    Article  Google Scholar 

  7. Peixoto de Faria, J.G., Nemes, M.C.: Phys. Rev. A 59, 3918 (1999)

    Article  ADS  Google Scholar 

  8. Zhou, L., Song, H.S., Luo, Y.X., Li, C.: Phys. Lett. A 284, 156 (2001)

    Article  ADS  MATH  Google Scholar 

  9. Rendel, R.W., Rajagopal: Phys. Rev. A 67, 062–110 (2003)

  10. Dodonov, V.V., Jose, W.D., Mizrahi, S.S.: J. Opt. B: Quantum Semiclass. Opt. 5, S567 (2003)

    Article  ADS  Google Scholar 

  11. Gea-Banacloche, J., Burt, T.C., Rice, P.R., Orozco, L.A.: Phys. Rev. Lett. 94, 053–603 (2005)

    Google Scholar 

  12. Janowicz, M., Orlowski, A.: J. Phys. B: At. Mol. Opt. Phys. 39, 1763 (2006)

    Article  ADS  Google Scholar 

  13. Akhtarshenas, S.J., Khezrian, M.: Eur. Phys. J. D 57, 271 (2010)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  MathSciNet  Google Scholar 

  15. Niset, J., Cerf, N.J.: Phys. Rev. A 74, 052–103 (2006)

    Article  Google Scholar 

  16. Ollivier, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017–901 (2001)

    Article  Google Scholar 

  17. Henderson, L., Vedral, V.: J. Phys. A: Math. Theor. 34, 6899 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  18. Datta, A.: Studies on the role of entanglement in mixed-state quantum computation, Ph. D. thesis, University of New Mexico (2008)

  19. Bennett, C.H., Brassard, G., Crpeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  20. Yeo, Y., Chua, W.K.: Phys. Rev. Lett. 96, 060–502 (2006)

    Article  Google Scholar 

  21. Wootters, W.K.: Entanglement of formation and concurrence. Quantum Inf. Comput. 1(1), 27 (2001)

    MATH  MathSciNet  Google Scholar 

  22. Ali, M., Rua, A.R.P., Alber, G.: Phys. Rev. A 81, 042105 (2010)

  23. Rulli, C.C., Saranndy, M.S.: Phys. Rev. A 84, 042109 (2011)

  24. Mahdian, M., Yousefjani, R., Salimi, S.: Eur. Phys. J. D 66, 133 (2012)

    Article  ADS  Google Scholar 

  25. Bina, M., Casagrande, F., Lulli, A., Solano, E.: Phys. Rev. A 77, 033839 (2008)

  26. Solano, E., Agarwal, G.S., Walther, H.: Phys. Rev. Lett. 90, 027–903 (2003)

    Article  Google Scholar 

  27. Lougovski, P., Solano, E., Walther, H.: Phys. Rev. A 71, 013–811 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Salimi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aiobi, H., Salimi, S. & Khorashad, A. Quantum Entanglement and Quantum Discord of a Two-Qubit System in a Dissipative Cavity. Int J Theor Phys 55, 1506–1514 (2016). https://doi.org/10.1007/s10773-015-2788-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2788-7

Keywords

Navigation