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External Classical Field and Damping Effects on a Moving two Level atom in a Cavity Field Interaction with Kerr-like Medium

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Abstract

The interaction between a moving two-level atom and squeezed coherent states in the presence of Kerr like medium and an external classical field is studied. We consider the cavity field not to be isolated, so the field suffers from a decay rate. Under the rotating wave approximation, and some certain transformations, the system is transformed to the usual Jaynes-Cummings model with Kerr medium as well as a damping term. The probability amplitude is obtained when the atomic system is prepared in its excited state. The results show that, the evolution of the atomic population inversion, the Pegg-Barnett phase, and the quasi-probability distributions are decaying in the presence of damping. While the detuning parameter delays the decay rate, also enhances a part of the phase space and decrease the rate of another part. The system is very sensitive to the Kerr like medium, where it plays a role in shortening the collapse periods, however it works to cracking and diffusing the phase space.

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References

  1. Jaynes, E.T., Cummings, F.W.: Proc. IEEE 51, 89–109 (1963)

    Google Scholar 

  2. Shore, B.W., Knight, P.L.: J Mod. Opt. 40, 1195–1238 (1993)

    ADS  Google Scholar 

  3. Abdel-Hafez, A.M., Obada, A.-S.F., Ahmed, M.M.A.: Phys. Rev. A 35, 1634–1647 (1987)

    ADS  Google Scholar 

  4. Meschede, D., Walther, H., Müller, G.: Phys. Rev. Lett. 54, 551–554 (1985)

    ADS  Google Scholar 

  5. Rempe, G., Walther, H., Klein, N.: Phys. Rev. Lett. 58, 353–356 (1987)

    ADS  Google Scholar 

  6. Brune, M., Schmidt-Kaler, F., Maali, A., Dreyer, J., Hagley, E., Raimond, J.M., Haroche, S.: Phys. Rev. Lett. 76, 1800–1803 (1996)

    ADS  Google Scholar 

  7. Bužek, V., Jex, I.: Opt. Commun. 78(5-6), 425–435 (1990)

    ADS  Google Scholar 

  8. Obada, A.-S.F., Abdel-Hafez, A.M., Abdelaty, M.: Eur. Phys. J. D. 3, 289–294 (1998)

    ADS  Google Scholar 

  9. Solano, E., Agarwal, G.S., Walther, H.: Phys. Rev. Lett. 90, 027903,4 (2003)

    ADS  Google Scholar 

  10. Dutra, S.M., Knight, P.L., Moya-Cessa, H.: Phys. Rev. A 49, 1993–1998 (1994)

    ADS  Google Scholar 

  11. Abdalla, M.S., Khalil, E.M., Obada, A.-S.F.: Ann. Phys. 326, 2486–2498 (2011)

    ADS  Google Scholar 

  12. Khalil, E.M.: Int. J. Theor. Phys. 52, 1122–1131 (2013)

    Google Scholar 

  13. Barnett, S.M., Knight, P.L.: Phys. Rev. A 33, 2444–2448 (1986)

    ADS  Google Scholar 

  14. Puri, R.R., Agarwal, G.S.: Phys. Rev. A 35, 3433–3449 (1987)

    ADS  Google Scholar 

  15. Obada, A.-S.F., Hessian, H.A.: JOSA B 21, 1535–1542 (2004)

    ADS  Google Scholar 

  16. Obada, A.-S.F., Hessian, H.A., Mohamed, A.-B.A.: J. Phys. B 41, 135503,7 (2008)

    Google Scholar 

  17. Milburn, G.J.: Phys. Rev. A 44, 5401–5406 (1991)

    ADS  MathSciNet  Google Scholar 

  18. Kuang, L.-M., Chen, X., Chen, G.-H., Ge, M.-L.: Phys. Rev. A 56, 3139–3149 (1997)

    ADS  Google Scholar 

  19. Abdel-Khalek, S., Zidan, N., Abdel-Aty, M.: Phys. E 44, 6–11 (2011)

    Google Scholar 

  20. Abdel-Aty, M.: Phys. Lett. A 372, 3719–3724 (2008)

    ADS  Google Scholar 

  21. Fei, J., Shuang-Yuan, X., Ya-Ping, Y.: Chin. Phys. Lett. 27, 014212,4 (2010)

    Google Scholar 

  22. Abdalla, M.S., Obada, A.-S.F., Mohamed, A.-B.A., Khalil, E.M.: Int. J. Theor. Phys. 53, 1325–1336 (2014)

    Google Scholar 

  23. Obada, A.-S.F., Khalil, E.M., Ahmed, M.M.A., Elmalky, M.M.Y.: Int. J. Theor. Phys. 57, 1–15 (2018)

    Google Scholar 

  24. Pegg, D.T., Barnett, S.M.: Phys. Rev. A 39, 1665–1675 (1989)

    ADS  Google Scholar 

  25. Barnett, S.M., Pegg, D.T.: J. Mod. Opt. 36, 7–19 (1989)

    ADS  Google Scholar 

  26. Honarasa, G.R., Tavassoly, M.K., Hatami, M.: Chin. Phys. B 21(5), 054208 (2012)

    ADS  Google Scholar 

  27. Wigner, E.: Phys. Rev. 40, 749–759 (1932)

    ADS  Google Scholar 

  28. Husimi, K.: Pro. Phys. Math. Soc. Jap. 22, 264–314 (1940)

    Google Scholar 

  29. Glauber, R.J.: Phys. Rev. 131, 2766–2788 (1963)

    ADS  MathSciNet  Google Scholar 

  30. Schleich, W.P.: Quantum Optics in Phase Space. Wiley, Hoboken (2011)

    MATH  Google Scholar 

  31. Mohamed, A.-B.A.: Chin. Phys. B 20(9), 090303 (2011)

    Google Scholar 

  32. Abd-Rabbou, M.Y., Metwally, N., Ahmed, M.M.A., Obada, A.-S.F.: arXiv:1903.09461 (2019)

  33. Pashayan, H., Wallman, J.J., Bartlett, S.D.: Phys. Rev. Lett. 115, 070501 (2015)

    ADS  Google Scholar 

  34. Berrada, K., Abdel-Khalek, S., Obada, A.-S.F.: Phys. Lett. A 376(17), 1412–1416 (2012)

    ADS  Google Scholar 

  35. Abu-Zinadah, H.H., Abdel-Khalek, S.: Res. phys. 7, 4318–4323 (2017)

    Google Scholar 

  36. Abdel-Khalek, S.: Phys. Scr. 80(4), 045302 (2009)

    ADS  Google Scholar 

  37. Abdel-Khalek, S., Berrada, K., Eleuch, H., Abdel-Aty, M.: Opt. Quant. Electron. 42(14-15), 887–897 (2011)

    Google Scholar 

  38. Obada, A. -S. F., Ahmed, M.M.A., Farouk, A.M., Salah, A.: Eur. Phys. J. D 71(12), 338 (2017)

    ADS  Google Scholar 

  39. Sadiek, G., Lashin, E.I., Abdalla, M.S.: Phys. B 404(12-13), 1719–1728 (2009)

    ADS  Google Scholar 

  40. Moya-Cessa, H., Vidiella-Barranco, A.: J. of Mod. Opt. 39, 2481–2499 (1992)

    ADS  Google Scholar 

  41. Moya-Cessa, H., Knight, P.L.: Phys. Rev. A 48, 2479–2481 (1993)

    ADS  Google Scholar 

  42. Moya-Cessa, H.: Phys. Rep. 432, 1–41 (2006)

    ADS  MathSciNet  Google Scholar 

  43. Obada, A.-S.F., Al-Kader, G.M.A.: Int. J. Mod.Phys. B 13, 2299–2312 (1999)

    ADS  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884, Cairo, Egypt

    M. Y. Abd-Rabbou, E. M. Khalil, M. M. A. Ahmed & A.-S. F. Obada

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

    E. M. Khalil

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  1. M. Y. Abd-Rabbou
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  2. E. M. Khalil
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  3. M. M. A. Ahmed
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  4. A.-S. F. Obada
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Correspondence to M. Y. Abd-Rabbou.

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Abd-Rabbou, M.Y., Khalil, E.M., Ahmed, M.M.A. et al. External Classical Field and Damping Effects on a Moving two Level atom in a Cavity Field Interaction with Kerr-like Medium. Int J Theor Phys 58, 4012–4024 (2019). https://doi.org/10.1007/s10773-019-04268-4

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  • DOI: https://doi.org/10.1007/s10773-019-04268-4

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