Advertisement

Cross correlation between the two modes in two-photon Jaynes-Cummings model in the presence of a classical homogeneous gravitational field

  • M. MohammadiEmail author
Regular Article

Abstract

The temporal evolution of both the atomic population inversion of an effective two-level atom and the cross correlation between the two modes in two-photon Jaynes-Cummings model in the presence of a classical homogeneous gravitational field are investigated. To analyse the dynamical evolution of the atom-radiation system a quantum treatment of the internal and external dynamics of the atom is presented based on an alternative su(2) dynamical algebraic structure. By solving the Schrödinger equation in the interaction picture, the evolving state of the system is found by which the influence of the gravitational field on the dynamical behavior of both the atomic population inversion of an effective two-level atom and the cross correlation between the two modes of the radiation field are explored. Assuming that initially the radiation field is prepared in the coherent state for each mode and an effective two-level atom is in a coherent superposition of the excited and ground states, the influence of gravity on both the atomic population inversion of an effective two-level atom and the cross correlation between the two modes of the radiation field are studied.

Keywords

Cross Correlation Coherent State Rabi Oscillation Interaction Picture Coherent Superposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    E.T. Jaynes, F. Cummings, Proc. IEEE 51, 89 (1963)CrossRefGoogle Scholar
  2. 2.
    D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985)ADSCrossRefGoogle Scholar
  3. 3.
    A. Kyungwon, J.J. Childs, R.R. Dasari, M.S. Feld, Phys. Rev. Lett. 73, 3375 (1994)ADSCrossRefGoogle Scholar
  4. 4.
    D.M. Meekhof, C. Monroe, B.E. King, W.M. Itano, D.J. Wineland, Phys. Rev. Lett. 76, 1796 (1996)ADSCrossRefGoogle Scholar
  5. 5.
    C.V. Sukumar, B. Buck, Phys. Lett. A 83, 211 (1981)ADSCrossRefGoogle Scholar
  6. 6.
    Y.I. Yoo, J.H. Eberly, Phys. Rep. 118, 239 (1985)ADSCrossRefGoogle Scholar
  7. 7.
    A. Joshi, R.R. Puri, J. Mod. Opt. 34, 1421 (1987)MathSciNetADSzbMATHCrossRefGoogle Scholar
  8. 8.
    B.W. Shore, P.L. Knight, J. Mod. Opt. 40, 137 (1989)MathSciNetGoogle Scholar
  9. 9.
    Y.T. Chough, H.J. Charmichael, Phys. Rev. A 54, 1709 (1996)ADSCrossRefGoogle Scholar
  10. 10.
    A. Joshi, Phys. Rev. A 62, 043812 (2000)ADSCrossRefGoogle Scholar
  11. 11.
    R.A. Zait , N.H. Abd El-Wahab , J. Phys. B At. Mol. Opt. Phys. 35, 3701 (2002)ADSCrossRefGoogle Scholar
  12. 12.
    R.A. Zait, Phys. Lett. A 319, 461 (2003)ADSCrossRefGoogle Scholar
  13. 13.
    A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J. Raimond, S. Haroche, Science 288, 2024 (2000)ADSCrossRefGoogle Scholar
  14. 14.
    A.S. Soronsen, K. Molmer, Phys. Rev. Lett. 91, 097905 (2003)ADSCrossRefGoogle Scholar
  15. 15.
    R.R. Schicher, Opt. Commun. 70, 97 (1989)ADSCrossRefGoogle Scholar
  16. 16.
    A. Joshi, S.V. Lawande, Phys. Rev. A 42, 1752 (1990)ADSCrossRefGoogle Scholar
  17. 17.
    C. Adamas, M. Sigel, J. Mlynek, Phys. Rep. 240, 143 (1994)ADSCrossRefGoogle Scholar
  18. 18.
    A. Kastberg, W.D. Philips, S.L. Rolston, R.J.C. Spreeuw, P.S. Jessen, Phys. Rev. Lett. 74, 1542 (1995)ADSCrossRefGoogle Scholar
  19. 19.
    C. Lammerzahl, C.J. Borde, Phys. Lett. A 203, 59 (1995)ADSCrossRefGoogle Scholar
  20. 20.
    K.P. Marzlin, J. Audertsch, Phys. Rev. A 53, 1004 (1995)ADSCrossRefGoogle Scholar
  21. 21.
    M. Mohammadi, M.H. Naderi, M. Soltanolkotabi, J. Phys. A 39, 11065 (2006)MathSciNetADSzbMATHCrossRefGoogle Scholar
  22. 22.
    M. Brune, J.M. Raimond, P. Goy, L. Davidovich, S. Haroche, Phys. Rev. Lett. 59, 1899 (1987)ADSCrossRefGoogle Scholar
  23. 23.
    R.R. Puri, G.S. Agarwal, Phys. Rev. A 39, 3879 (1988)ADSCrossRefGoogle Scholar
  24. 24.
    G. Adam, J. Seke, O. Hittmair, Phys. Rev. A 42, 5522 (1990)ADSCrossRefGoogle Scholar
  25. 25.
    C.C. Gerry, J.H. Eberly, Phys. Rev. A 42, 6805 (1990)ADSCrossRefGoogle Scholar
  26. 26.
    A. Joshi, R.R. Puri, Phys. Rev. A 42, 4336 (1990)ADSCrossRefGoogle Scholar
  27. 27.
    C.C. Gerry, R.F. Welch, J. Opt. Soc. Am. B 9, 290 (1992)ADSCrossRefGoogle Scholar
  28. 28.
    M.M. Ashraf, M.S.K. Razmi, Phys. Rev. A 45, 8121 (1992)ADSCrossRefGoogle Scholar
  29. 29.
    M.M. Ashraf, Phys. Rev. A 50, 5116 (1994)ADSCrossRefGoogle Scholar
  30. 30.
    H. Iwasawa, K. Matsuo, Opt. Commun. 117, 550 (1995)ADSCrossRefGoogle Scholar
  31. 31.
    M.H. Naderi, Can. J. Phys. 85, 1071 (2007)ADSCrossRefGoogle Scholar
  32. 32.
    T. Sleator, M. Wilkens, Phys. Rev. A 48, 3286 (1993)ADSCrossRefGoogle Scholar
  33. 33.
    H. Paul, Rev. Mod. Phys. 54, 1061 (1982)ADSCrossRefGoogle Scholar
  34. 34.
    R. Hanbury-Brown, R.Q. Twiss, Nature 177, 27 (1956)CrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of PhysicsIslamic Azad UniversityIsfahanIran

Personalised recommendations