Skip to main content
Log in

Dynamics of N-configuration four-level atom interacting with one-mode cavity field

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

In this paper, a model is presented to investigate the interaction between a four-level atom and a single mode of the radiation field. The relative phase, the detuning and the Kerr-like medium are taken into consideration. The exact solution is given when the atom is initially prepared in superposition coherent state. The influences of the relative phase, and the Kerr-like medium on the collapses-revivals, the field entropy and the amplitude-squared squeezing phenomena for the considered system are examined. It is found that these parameters have important effects on the properties of these phenomena.

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.

Similar content being viewed by others

References

  1. M. Abdel-Aty, Physica A 313, 471 (2002).

    Article  ADS  MATH  Google Scholar 

  2. C.K. Hong, L. Mandel, Phys. Rev. Lett. 54, 323 (1985).

    Article  ADS  Google Scholar 

  3. M. Hillary, Opt. Commun. 62, 135 (1987).

    Article  ADS  Google Scholar 

  4. S. Rani, Z.-M. Zhang, L. Xu, J.-L. Chai, F.-L. Li, Phys. Lett. A 150, 27 (1990).

    Article  ADS  Google Scholar 

  5. Y. Zhan, Phys. Lett. A 160, 498 (1991).

    Article  ADS  Google Scholar 

  6. C.H. Bennet, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W.K. Wooters, Phys. Rev. Lett 70, 1993 (1895).

    Google Scholar 

  7. M. Gisin, G. Ribordy, W. Tittle, H. Zbinden, Rev. Mod. Phys. 74, 145 (2003).

    Article  ADS  Google Scholar 

  8. S.L. Braunstein, H.L. Kample, Phys. Rev. A 61, 042302 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  9. H.P. Yuen, J.H. Shapiro, IEEE Trans. Inf. Theory 24, 657 (1978).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. H.P. Yuen, J.H. Shapiro, IEEE Trans. Inf. Theory 26, 78 (1980).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  11. J.H. Shapiro, Opt. Lett. 5, 351 (1980).

    Article  ADS  Google Scholar 

  12. B.I. Schumaker, Phys. Rev. A 31, 3093 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  13. C.M. Caves, K.S. Throne, R.W.P. Drever, V.D. sandberg, M. Zimmermann, Rev. Mod. Phys. 52, 341 (1980).

    Article  ADS  Google Scholar 

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

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

    Article  Google Scholar 

  16. B. Yurke, D. Stoler, Phys. Rev. Lett. 57, 13 (1986).

    Article  ADS  Google Scholar 

  17. G.S. Agarwal, R.R. Puri, Phys. Rev. A 39, 2969 (1989).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. X.-S. Li, D.L. Lin, C.D. Dong, Phys. Rev. A 36, 5209 (1987).

    Article  ADS  Google Scholar 

  20. N.H. Abdel-Wahab, Phys. Scr. 76, 233 (2007).

    Article  ADS  MATH  Google Scholar 

  21. N.H. Abdel-Wahab, Phys. Scr. 76, 244 (2007).

    Article  ADS  MATH  Google Scholar 

  22. A.-S.F. Obada, A.M.M. Abu-Sitta, O.M. Yassin, J. Egypt Math. Soc. 2, 103 (1994).

    MATH  Google Scholar 

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

    ADS  Google Scholar 

  24. N.H. Abdel-Wahab, J. App. Math. Inf. Sci. 1, 263 (2007).

    MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  29. N.H. Abdel-Wahab, Nuovo Cimento B 124, 1161 (2009).

    Google Scholar 

  30. N.H. Abdel-Wahab, Int. J. Mod. Phys. B 25, 3001 (2011).

    Article  ADS  Google Scholar 

  31. M. Hillery, Opt. Commun. 62, 135 (1987).

    Article  ADS  Google Scholar 

  32. M. Hillery, Phys. Rev. A 36, 3795 (1987).

    Article  ADS  Google Scholar 

  33. C.C. Gerry, P. Moyer, Phys. Rev. A 38, 5665 (1988).

    Article  ADS  Google Scholar 

  34. F.L. Kien, M. Kozierowki, T. Quang, Phys. Rev. A 38, 236 (1988).

    Article  Google Scholar 

  35. M.A. Mahran, A.-S.F. Obada, Phys. Rev. A 40, 476 (1989).

    Google Scholar 

  36. A.M. Abdel-Hafez, A.-S.F. Obada, Phys. Rev. A 44, 6017 (1991).

    Article  ADS  Google Scholar 

  37. A.M. Abdel-Hafez, A.-S.F. Obada, Physica A 180, 205 (1992).

    Article  ADS  Google Scholar 

  38. J.I. Cerac, P. Zoller, Nature 404, 579 (2000).

    Article  ADS  Google Scholar 

  39. N.H. Abdel-Wahab, Lamia Thabet, Eur. Phys. J. Plus 128, 52 (2013).

    Article  Google Scholar 

  40. M. Yan, G. Edward, Y. Zhu, Phys. Rev. A 64, 041801 (2001).

    Article  ADS  Google Scholar 

  41. A.D. Wilson-Gorden, M. Rosenbluh, H. Friedmann, Phys. Rev. A 69, 053818 (2004).

    Article  ADS  Google Scholar 

  42. M.A. Anton, G.C. Oscar, F. Carreno, Phys. Rev. A 72, 023809 (2005).

    Article  ADS  Google Scholar 

  43. D. Yang, J. Wang, H. Zhang, J. Yao, J. Opt. B: At. Mol. Opt. Phys. 40, 1719 (2007).

    ADS  Google Scholar 

  44. K. Wang, G. Ying, C. Qi-Huang, Chin. Phys. 16, 130 (2007).

    Article  ADS  Google Scholar 

  45. C. Mavroyannis, J. Opt. B: Quantum Semiclass. Opt. 2, 735 (2001).

    Article  ADS  Google Scholar 

  46. V. Josse, A. Dantan, A. Brammati, M. Pinard, E. Glacobino, J. Opt. B: Quantum Semiclass. Opt. 5, 5513 (2003).

    Article  Google Scholar 

  47. W.H. Louisell Quantum statistical properties of Radiation (John Wiley & Sons, California, 1973).

  48. N.H. Abdel-Wahab, Eur. Phys. J. Plus 126, 27 (2011).

    Article  Google Scholar 

  49. S.N. Sandhya, Phys. Rev. A 75, 013809 (2007).

    Article  ADS  Google Scholar 

  50. H.I. Yoo, J.H. Eberly, Phys. Rev. A 118, 239 (1985).

    Google Scholar 

  51. P.W. Shore, P.L. Knight, J. Mod. Opt. 40, 1195 (1993).

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. H. Abdel-Wahab.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abdel-Wahab, N.H., Thabet, L. Dynamics of N-configuration four-level atom interacting with one-mode cavity field. Eur. Phys. J. Plus 129, 144 (2014). https://doi.org/10.1140/epjp/i2014-14144-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2014-14144-9

Keywords

Navigation