Skip to main content
SpringerLink
Log in

Effects of the nonlinear interactions on the tunneling time of ultracold atoms

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

Abstract

We study the tunneling of ultraslow two-level atoms through a high-Q microwave cavity in the presence of Kerr type nonlinearity. It is found that the phase time of traversal is significantly modified by the nonlinear effects of the cavity field. Specifically, when an appropriate nonlinearity is introduced one may obtain alternate sub and superclassical traversal behaviors of the tunneling time with increasing energies of the incident atoms. It is due to an increase in the number of resonances in the transmission amplitude induced by the Kerr field. Further, in the presence of Kerr medium the scattering like nature of the interaction, i.e., the mazer action may be realized for somewhat higher values of energies of the incident cold atoms. In addition, phase time can be switched from sub to superclassical values by adjusting strength of the Kerr nonlinearity.

Graphical abstract

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. S. Haroche, M. Bune, J.M. Raimond, Europhys. Lett. 14, 19 (1991)

    Article  ADS  Google Scholar 

  2. B.G. Englert, J. Schiwnger, A.O. Barut, M.O. Sculy, Europhys. Lett. 14, 25 (1991)

    Article  ADS  Google Scholar 

  3. M.O. Scully, G.M. Meyer, H. Walther, Phys. Rev. Lett. 76, 4144 (1996)

    Article  ADS  Google Scholar 

  4. G.M. Meyer, M.O. Scully, H. Walther, Phys. Rev. A 56, 4142 (1997)

    Article  ADS  Google Scholar 

  5. M. Löffler, G.M. Meyer, M. Schroder, M.O. Scully, H. Walther, Phys. Rev. A 56, 4153 (1997)

    Article  ADS  Google Scholar 

  6. M. Schroder, K. Vogel, W.P. Schleich, M.O. Scully, H. Walther, Phys. Rev. A 56, 4164 (1997)

    Article  ADS  Google Scholar 

  7. M. Löffler, G.M. Meyer, H. Walther, Europhys. Lett. 41, 593 (1998)

    Article  ADS  Google Scholar 

  8. T. Bastin, J. Martin, Phys. Rev. A 67, 053804 (2003)

    Article  ADS  Google Scholar 

  9. J. Martin, T. Bastin, Eur. Phys. J. D 29, 133 (2004)

    Article  ADS  Google Scholar 

  10. M. Usman, S. Qamar, S. Qamar, Opt. Commun. 284, 2182 (2011)

    Article  ADS  Google Scholar 

  11. J.C. Retamal, E. Solano, N. Zagury, Opt. Commun. 154, 28 (1998)

    Article  ADS  Google Scholar 

  12. T. Bastin, E. Solano, Comput. Phys. Commun. 124, 197 (2000)

    Article  ADS  Google Scholar 

  13. J. Larson, J. Phys. B: At. Mol. Opt. Phys. 42, 044015 (2009)

    Article  ADS  Google Scholar 

  14. Laser-Cooling Techniques are Reviewed in Laser Manipulation of Atoms and Ions, edited by E. Arimondo, W.D. Phillips, F. Strumia (North-, Amsterdam, 1992)

  15. C. Bracher, J. Phys. B: At. Mol. Opt. Phys. 30, 2717 (1997)

    Article  ADS  Google Scholar 

  16. E.H. Hauge, J.A. Stovneng, Rev. Mod. Phys. 61, 917 (1989)

    Article  ADS  Google Scholar 

  17. V.S. Olkhovsky, E. Recami, J. Jakiel, Phys. Rep. 398, 133 (2004)

    Article  ADS  Google Scholar 

  18. H.G. Winful, Phys. Rep. 436, 1 (2006)

    Article  ADS  Google Scholar 

  19. T.E. Hartman, J. Appl. Phys. 33, 3427 (1962)

    Article  ADS  Google Scholar 

  20. E.P. Wigner, Phys. Rev. 98, 145 (1955)

    Article  MathSciNet  ADS  Google Scholar 

  21. A.M. Steinberg, R.Y. Chiao, Phys. Rev. A 49, 3283 (1994)

    Article  ADS  Google Scholar 

  22. A.M. Steinberg, P.G. Kwiat, R.Y. Chiao, Phys. Rev. Lett. 71, 708 (1993)

    Article  ADS  Google Scholar 

  23. T. Hils, J. Felber, R. Gähler, W. Gläser, R. Golub, K. Habicht, P. Wille, Phys. Rev. A 58, 4784 (1998)

    Article  ADS  Google Scholar 

  24. R. Arun, G.S. Agarwal, Phys. Rev. A 64, 065802 (2001)

    Article  ADS  Google Scholar 

  25. F. Badshah, M. Irfan, S. Qamar, S. Qamar, Phys. Rev. A 84, 032107 (2011)

    Article  ADS  Google Scholar 

  26. F. Badshah, M. Irfan, S. Qamar, S. Qamar, Phys. Rev. A 87, 012132 (2013)

    Article  ADS  Google Scholar 

  27. F. Badshah, M. Irfan, S. Qamar, S. Qamar, Phys. Rev. A 88, 044101 (2013)

    Article  ADS  Google Scholar 

  28. F. Badshah, M. Irfan, S. Qamar, S. Qamar, Opt. Commun. 365, 157 (2016)

    Article  ADS  Google Scholar 

  29. F. Badshah, A. Basit, H. Ali, G.Q. Ge, Laser Phys. Lett. 14, 025205 (2017)

    Article  ADS  Google Scholar 

  30. F. Badshah, G.Q. Ge, M. Irfan, S. Qamar, S. Qamar, Sci. Rep. 8, 1864 (2018)

    Article  ADS  Google Scholar 

  31. F.L. Hu, F. Badshah, A. Basit, H.Y. Zhang, Q. He, G.Q. Ge, Commun. Theor. Phys. 70, 613 (2018)

    Article  ADS  Google Scholar 

  32. B. Deb, D.S. Ray, Phys. Rev. A 48, 3191 (1993)

    Article  ADS  Google Scholar 

  33. W.S. Dong, Q.Z. Jun, Z.Z. Ming, J.L. Xia, Acta Phys. Sin. 50, 1925 (2001)

    Google Scholar 

  34. W.S. Dong, Commun. Theor. Phys. 38, 637 (2002)

    Article  ADS  Google Scholar 

  35. D.F. Walls, M.J. Collett, A.S. Lane, Phys. Rev. A 42, 4366 (1990)

    Article  ADS  Google Scholar 

  36. S.F. Pereira, M. Xiao, H.J. Kimble, J.L. Hall, Phys. Rev. A 38, 4931 (1988)

    Article  ADS  Google Scholar 

  37. A. Imamoǧlu, H. Schmidt, G. Woods, M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997)

    Article  ADS  Google Scholar 

  38. Y.F. Gao, J. Feng, G.M. Zhang, Commun. Theor. Phys. 47, 131 (2007)

    Article  ADS  Google Scholar 

  39. S. Bandopadhyay, A.M. Jayannavar, Int. J. Mod. Phys. B 21, 1681 (2007)

    Article  ADS  Google Scholar 

  40. J.G. Muga, I.L. Egusquiza, J.A. Damborenea, F. Delgado, Phys. Rev. A 66, 042115 (2002)

    Article  ADS  Google Scholar 

  41. L.J. Wang, A. Kuzmich, A. Dogariu, Nature (London) 406, 277 (2000)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China

    Fazal Badshah, Abdul Basit, Hamad Ali, Qing He, Haiyang Zhang & Guo-qin Ge

  2. Quantum Optics Lab, Department of Physics, COMSATS University, Islamabad, Pakistan

    Fazal Badshah

  3. College of Science, Zhongyuan University of Technology, 41 Zhongyuan Road, Zhengzhou, 450000, P.R. China

    Qing He

Authors
  1. Fazal Badshah
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Abdul Basit
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hamad Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Qing He
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Haiyang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Guo-qin Ge
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Fazal Badshah or Guo-qin Ge.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Badshah, F., Basit, A., Ali, H. et al. Effects of the nonlinear interactions on the tunneling time of ultracold atoms. Eur. Phys. J. D 73, 50 (2019). https://doi.org/10.1140/epjd/e2019-90391-x

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2019-90391-x

Keywords

Search

Navigation