Skip to main content
Log in

Non-Markovian Effects on Bell-Nonlocality Sudden Death in Tripartite

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

Abstract

The Bell-nonlocal behavior of three-qubit systems is studied in this paper. The three qubits without mutual interaction are independently coupled to different two band non-Markovian environments. We find that certain non-Markovian effect protects the nonlocality in short time scale, while on long time scale it leads to the Bell-nonlocality sudden death (BNSD).

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

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

    MATH  Google Scholar 

  2. Yu, T., Eberly, J.H.: Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  3. Yu, T., Eberly, J.H.: Phys. Rev. Lett. 97, 140403 (2006)

    Article  ADS  Google Scholar 

  4. Yu, T., Eberly, J.H.: Opt. Commun. 264, 393 (2006)

    Article  ADS  Google Scholar 

  5. Almeida, M.P., de Melo, F., Hor-Meyll, M., Salles, A., Walborn, S.P., Souto Ribeiro, P.H., Davidovich, L.: Science 316, 579 (2007)

    Article  ADS  Google Scholar 

  6. Bennett, C.H., Bernstein, H., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  7. Bennett, C.H., Popescu, S., Rohrlich, D., Thapliyal, A.V.: Phys. Rev. A 63, 012307 (2001)

    Article  ADS  Google Scholar 

  8. Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Am. J. Phys. 58, 1131 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  9. Jaeger, G., Ann, K.: Phys. Lett. A 372, 2212 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Yang, Q., Yang, M., Cao, Z.: Phys. Lett. A 372, 6843 (2008)

    Article  ADS  MATH  Google Scholar 

  11. Qiu, L., Wang, A., Su, X., Ma, X.: Opt. Commun. 281, 5475 (2008)

    Article  ADS  Google Scholar 

  12. Zhang, D., Xie, L., Tang, S., Zhan, X., Chen, Y., Gao, F.: Chin. Phys. B 19, 100305 (2010)

    Article  ADS  Google Scholar 

  13. Liu, B., Shao, B., Zou, J.: J. Phys. A, Math. Theor. 43, 245301 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  14. Xie, L., Zhang, D., Wang, X., Zhan, X., Tang, S., Gao, F.: Chin. Phys. B 20(8), 080301 (2011)

    Article  ADS  Google Scholar 

  15. Huang, X.L., Wang, L.C., Yi, X.X.: Int. J. Quantum Inf. 7, 385 (2009)

    Article  MATH  Google Scholar 

  16. Huang, L.Y., Fang, M.F.: Chin. Phys. B 19, 090318 (2010)

    Article  ADS  Google Scholar 

  17. Bellomo, B., Franco, R.L., Compagno, G.: Phys. Rev. Lett. 99, 160502 (2007)

    Article  ADS  Google Scholar 

  18. Kraus, K.: States, Effect, and Operations: Fundamental Notions in Quantum Theory. Springer, Berlin (1983)

    Book  Google Scholar 

  19. Gemmer, J., Michel, M., Mahher, G.: Quantum Thermodynamics. Lecture Notes in Physics, vol. 657. Springer, Berlin (2004)

    Book  MATH  Google Scholar 

  20. Gemmer, J., Michel, M.: Europhys. Lett. 73, 1 (2006)

    Article  ADS  Google Scholar 

  21. Breuer, H.P., Gemmer, J., Michel, M.: Phys. Rev. E 73, 016139 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  22. Breuer, H.P.: Phys. Rev. A 75, 022103 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  23. Mei, D., Li, C., Song, H.-S.: Commun. Theor. Phys. 48, 75 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  24. Zukowski, M., Brukner, C.: Phys. Rev. Lett. 88, 210401 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  25. Mermin, N.D.: Phys. Rev. Lett. 65, 1838 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. Ardehali, M.: Phys. Rev. A 46, 5375 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  27. Belinskii, A.V., Klyshko, D.N.: Sov. Phys. Usp. 36, 653 (1993)

    Google Scholar 

Download references

Acknowledgements

This work was partially supported by the CNSF (grant No. 60703100, and No. 10575017) and the Fundamental Research Funds for the Central Universities No. DUT10LK10.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jing Nie.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nie, J., Li, C. Non-Markovian Effects on Bell-Nonlocality Sudden Death in Tripartite. Int J Theor Phys 52, 368–375 (2013). https://doi.org/10.1007/s10773-012-1341-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1341-1

Keywords

Navigation