Skip to main content
SpringerLink
Log in

Dynamics of Entanglement between Moving Four-Level Atom and Single Mode Cavity Field

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

Abstract

In this paper we are interested in studying the entanglement between a single four-level ladder-type atom interacting with one-mode cavity field when the atomic motion is taken into account. The exact solution of the model is obtained by using Schrodinger equation for a specific initial conditions. The field entropy of this system is investigated in the non-resonant case. The effects of the detuning parameter and the atomic motion on the entanglement degree are examined. These investigations show that both of the detuning and the atomic motion play important roles in the evolution of the von Neumann entropy and atomic populations. Finally, conclusions and some features are given.

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

Similar content being viewed by others

References

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

    Article  Google Scholar 

  2. Abdel-Aty, M.: Physica A 313, 471 (2001)

    Article  ADS  Google Scholar 

  3. Rostovtsev, V., Eleuch, H., Svidzinsky, A., Li, H., Sautenkov, V. Scully, M.O.: Phys. Rev. A 79, 063833 (2009)

    Article  ADS  Google Scholar 

  4. Abdalla, M.S., Ahmed, M.M.A., Obada, A.-S.F.: Physica A 162, 215 (1990)

    Article  ADS  Google Scholar 

  5. Abdalla, M.S., Ahmed, M.M.A., Obada, A.-S.F.: Physica A 170, 393 (1991)

    Article  ADS  Google Scholar 

  6. Abdel-Hafez, A.M.: Phys. Rev. A 45, 6610 (1991)

    Article  ADS  Google Scholar 

  7. Yoo, H.-I., Eberly, J.H.: Phys. Rep. A 118, 239 (1985)

    Article  ADS  Google Scholar 

  8. Abdel-Hafez, A.M., Obada, A.-S.F., Ahmad, M.M.A.: J. Phys. A, Math. Gen. 20, L359 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  9. Abdel-Hafez, A.M., Ahmad, M.M.A., Obada, A.-S.F.: Phys. Rev. A 35, 1634 (1987)

    Article  ADS  Google Scholar 

  10. Liu, Z.-D., Li, X.-S., Lin, D.L.: Phys. Rev. A 36, 5220 (1987)

    Article  ADS  Google Scholar 

  11. Abdel-Wahab, N.H.: Phys. Scr. 77, 244 (2007); 233

    Article  ADS  Google Scholar 

  12. Dridi, G., Guérin, S., Hakobyan, V., Jauslin, H.R., Eleuch, H.: Phys. Rev. A 80, 043408 (2009)

    Article  ADS  Google Scholar 

  13. Liu, Z.D., Zhu, S.-Y., Li, X.-S.: J. Mod. Opt. 45, 833 (1988)

    Article  ADS  Google Scholar 

  14. Osman, K.I., Ashi, H.A.: Physica A 310, 165 (2002)

    Article  MATH  ADS  Google Scholar 

  15. Janowicz, M., Orlowski, A.: Rep. Math. Phys. 54, 57 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  16. Zait, R.A., Abd El-Wahab, N.H.: Mod. Phys. Lett. B 18, 1087 (2004)

    Article  MATH  ADS  Google Scholar 

  17. Wu, J.-H., Li, A.-J., Ding, Y., Zhao, Y.-C., Gao, J.-Y.: Phys. Rev. A 72, 023802 (2005)

    Article  ADS  Google Scholar 

  18. Xue, Y., Wang, G., Wu, J.-H., Gao, J.-Y.: Phys. Rev. A 75, 063832 (2007)

    Article  ADS  Google Scholar 

  19. Abdel-Wahab, N.H., Amin, M.E., Taha, M.: Fizika (Zagreb) 2, 113 (2006)

    ADS  Google Scholar 

  20. Han, Y., Xiao, J., Liu, Y., Zhang, C., Wang, H., Xiao, M., Peng, K.: Phys. Rev. A 77, 023824 (2008)

    Article  ADS  Google Scholar 

  21. Abdel-Wahab, N.H.: J. Appl. Math. Inf. Sci. 1(3), 263 (2007)

    MATH  MathSciNet  Google Scholar 

  22. Abdel-Wahab, N.H.: J. Phys. B, At. Mol. Opt. Phys. 40, 4233 (2007)

    Article  ADS  Google Scholar 

  23. Abdel-Wahab, N.H.: J. Phys. B, At. Mol. Opt. Phys. 41, 105502 (2008)

    Article  ADS  Google Scholar 

  24. Abdel-Wahab, N.H.: Mod. Phys. Lett. B 22(26), 2587 (2008)

    Article  MATH  ADS  Google Scholar 

  25. Abdel-Wahab, N.H.: Mod. Phys. Lett. B 22(28), 2801 (2008)

    Article  MATH  ADS  Google Scholar 

  26. Fang, M.F.: Physica A 204, 193 (1994)

    Google Scholar 

  27. Sebawe Abdalla, M., Obada, A.-S.F., Abdel-Khalek, S.: Chaos Solitons Fractals 36, 405 (2008)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  28. Abdel-Aty, M.: J. Phys. A, Math. Gen. 38, 8589 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  29. Abdel-Khalek, S.: Physica A 387, 779 (2008)

    Article  ADS  Google Scholar 

  30. Abdel-Khalek, S.: Phys. Scr. 80, 045302 (2009)

    Article  ADS  Google Scholar 

  31. Abdel-Aty, M.: Mod. Phys. Lett. B 17, 253 (2003)

    Article  ADS  Google Scholar 

  32. Liu, X.: Physica A 286, 588 (2000)

    Article  ADS  Google Scholar 

  33. von Neumann, J.: Mathematical Foundations of Quantum Mechanics. Princeton University, Princeton (1955)

    MATH  Google Scholar 

  34. Phoenix, S.J., Knight, P.L.: Ann. Phys. (N.Y.) 186, 381 (1988)

    Article  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Sohag University, 82524, Sohag, Egypt

    S. Abdel-Khalek

  2. Mathematics Department, Faculty of Science, Taif University, 21974, Taif, Saudi Arabia

    S. Abdel-Khalek

  3. Mathematics Department, Faculty of Science, Minia University, Minia, Egypt

    N. H. Abdel-Wahab

Authors
  1. S. Abdel-Khalek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. H. Abdel-Wahab
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Abdel-Khalek.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdel-Khalek, S., Abdel-Wahab, N.H. Dynamics of Entanglement between Moving Four-Level Atom and Single Mode Cavity Field. Int J Theor Phys 50, 562–570 (2011). https://doi.org/10.1007/s10773-010-0575-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0575-z

Keywords

Search

Navigation