Skip to main content
SpringerLink
Log in

Entanglement and Sudden Death for a Nonlinear Two Qubit Interaction with a Single su(1, 1) Group

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

Abstract

In this context, the entanglement between two qubit interaction with a single su(1, 1) group simultaneously prepared initially in a single-mode thermal state is investigated. By using the atomic and the entropy changes to measuring the entanglement between the present subsystem. In addition the concurrence is used to detect the sudden death phenomenon, the compression between the entropy changes and the concurrence is discussed. The obtained results inference that the behavior of the entropy change is agree with the behavior of the concurrence when we measure the entanglement between the structure of the subsystem.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Kim, Y.S., Man’ko, M.A., Sergienko, A. (eds.) Journal of Optics B: Quantum Semiclass. Optics 4 (2002) S91, one special issue on Uncertainty relations, quantum phase space, quantum optics, quantum information, imaging and computing

  2. Zanardi, P.: Phys. Rev. A 65, 042101 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  3. Jennewein, T., Simon, C., Weihs, G., Weinfurter, H., Zeilinger, A.: Phys. Rev. Lett. 84, 4729 (2000)

    Article  ADS  Google Scholar 

  4. Furusawa, A., Sorensen, J., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Science 282, 706 (1998)

    Article  ADS  Google Scholar 

  5. Grover, L.K.: Phys. Rev. Lett. 79, 325 (1997)

    Article  ADS  Google Scholar 

  6. Wu, X.H., Xie, R.H., Huang, X.D., Hsia, Y.F.: Phys. Rev. A 53, R1927 (1996)

    Article  ADS  Google Scholar 

  7. Bennett, C.H.: Rev. Phys. Lett. 69, 288 (1992)

    Google Scholar 

  8. Bose, S., Fruentes-Guridi, I., Knight, P.L., Vedral, V.: Phys. Rev. Lett. 87, 050401 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  9. Khalil, E.M., Sebaweh Abdalla, M., Obada, A.-S.F., Perina, J.: J. Opt. Soc. Am. B 27, 266 (2010)

    Article  ADS  Google Scholar 

  10. Khalil, E.M., Sebaweh Abdalla, M., Obada, A.-S.F.: J. Phys. B 43, 095507 (2010)

    Article  ADS  Google Scholar 

  11. Khalil, E.M.: Int. J. Theor. Phys. 52, 1122 (2013)

    Article  Google Scholar 

  12. Khalil, E.M.: Optik Int. J. Light Electron. Opt. 124, 1820 (2013)

    Article  Google Scholar 

  13. Sebaweh Abdalla, M., Ahmed, M.M.A., Khalil, E.M., Obada, A.-S.F.: J. Russ. Laser Res. 37(4), 361 (2016)

    Article  Google Scholar 

  14. Sebaweh Abdalla, M., Khalil, E.M., Obada, A.-S.F.: Phys. A 466, 44 (2017)

    Article  Google Scholar 

  15. Obada, A.-S.F., Abdel-Khalek, S., Abo-Kahla, D.A.M: Opt. Commun. 283, 4662 (2010)

    Article  ADS  Google Scholar 

  16. Abdel-Khalek, S.: Open Syst. Inf. Dyn. 22, 1550015 (2015)

    Article  MathSciNet  Google Scholar 

  17. Zhou, L., Yi, X.X., Song, H.S., Quo, Y.Q.: J. Opt. B 6, 378 (2004)

    Article  ADS  Google Scholar 

  18. Zhou, L., Song, H.S., Li, C.: J. Opt. B 4, 425 (2002)

    Article  ADS  Google Scholar 

  19. Boukobza, E., Tannor, D.J.: Phys Rev A 71, 063821 (2005)

    Article  ADS  Google Scholar 

  20. Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Faculty of Science- AL Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia

    Haifa S. Alqannas

  2. Mathematics Department, Faculty of Science, Al-Azher University, Nassr City, 11884, Cairo, Egypt

    E. M. Khalil

  3. Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia

    E. M. Khalil

Authors
  1. Haifa S. Alqannas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. M. Khalil
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. M. Khalil.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alqannas, H.S., Khalil, E.M. Entanglement and Sudden Death for a Nonlinear Two Qubit Interaction with a Single su(1, 1) Group. Int J Theor Phys 56, 2019–2027 (2017). https://doi.org/10.1007/s10773-017-3345-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-017-3345-3

Keywords

Search

Navigation