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Controllable band loops of ultracold atoms in a cavity

  • Q. Zheng
  • S. C. Li
  • L. B. FuEmail author
Regular Article

Abstract

We theoretically investigate the atomic energy band of ultracold atoms inside a laser-driven optical cavity with Kerr medium. This cavity-atom hybrid system has two kinds of interactions: photon-atom interaction and photon-photon one. We find the loops of the atomic energy band induced by photon-atom interaction disappear when the Kerr interaction between photons exceeds a critical value. The reason of the controllably atomic energy band loops by Kerr interaction is discussed.

Keywords

Cold Matter and Quantum Gas 

References

  1. 1.
    P. Domokos, H. Ritsch, Phys. Rev. Lett. 89, 253003 (2002)ADSCrossRefGoogle Scholar
  2. 2.
    D. Nagy, G. Szirmai, P. Domokos, Eur. Phys. J. D 48, 127 (2008)ADSCrossRefGoogle Scholar
  3. 3.
    J.K. Asbóth, P. Domokos, H. Ritsch, A. Vukics, Phys. Rev. A 72, 053417 (2005)ADSCrossRefGoogle Scholar
  4. 4.
    R.H. Dicke, Phys. Rev. 93, 99 (1954)ADSzbMATHCrossRefGoogle Scholar
  5. 5.
    Y.K. Wang, F.T. Hioe, Phys. Rev. A 7, 831 (1973)ADSCrossRefGoogle Scholar
  6. 6.
    K. Baumann, C. Guerlin, F. Brennecke, T. Esslinger, Nature 464, 1301 (2010)ADSCrossRefGoogle Scholar
  7. 7.
    D. Nagy, G. Konya, G. Szirmai, P. Domokos, Phys. Rev. Lett. 104, 130401 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    J. Larson, B. Damski, G. Morigi, M. Lewenstein, Phys. Rev. Lett. 100, 050401 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    S.C. Li, L.B. Fu, J. Liu, Phys. Rev. A 84, 053610 (2011)ADSCrossRefGoogle Scholar
  10. 10.
    S. Slama, S. Bux, G. Krenz, C. Zimmermann, P.W. Courteille, Phys. Rev. Lett. 98, 053603 (2007)ADSCrossRefGoogle Scholar
  11. 11.
    S. Gupta, K.L. Moore, K.W. Murch, D.M. Stamper-Kurn, Phys. Rev. Lett. 99, 213601 (2007)ADSCrossRefGoogle Scholar
  12. 12.
    J.A. Sauer, K.M. Fortier, M.S. Chang, C.D. Hamley, M.S. Chapman, Phys. Rev. A 69, 051804 (2004)ADSCrossRefGoogle Scholar
  13. 13.
    S. Ritter, F. Brennecke, K. Baumann, T. Donner, C. Guerlin, T. Esslinger, Appl. Phys. B 95, 213 (2009)ADSCrossRefGoogle Scholar
  14. 14.
    L. Zhou, H. Pu, H.Y. Ling, W. Zhang, Phys. Rev. Lett. 103, 160403 (2009)ADSCrossRefGoogle Scholar
  15. 15.
    J.M. Zhang, F.C. Cui, D.L. Zhou, W.M. Liu, Phys. Rev. A 79, 033401 (2009)ADSCrossRefGoogle Scholar
  16. 16.
    S. Yang, M. Al-Amri, J. Evers, M.S. Zubairy, Phys. Rev. A 83, 053821 (2011)ADSCrossRefGoogle Scholar
  17. 17.
    G. Szirmai, D. Nagy, P. Domokos, Phys. Rev. A 81, 043639 (2010)ADSCrossRefGoogle Scholar
  18. 18.
    B. Prasanna Venkatesh, J. Larson, D.H.J. O’Dell, Phys. Rev. A 83, 063606 (2011)ADSCrossRefGoogle Scholar
  19. 19.
    B. Wu, Q. Niu, Phys. Rev. A 61, 023402(R) (2000)ADSGoogle Scholar
  20. 20.
    M. Machholm, C.J. Pethick, H. Smith, Phys. Rev. A 67, 053613 (2003)ADSCrossRefGoogle Scholar
  21. 21.
    M. Kramer, C. Menotti, L. Pitaevskii, S. Stringari, Eur. Phys. J. D 27, 247 (2003)ADSCrossRefGoogle Scholar
  22. 22.
    E.J. Mueller, Phys. Rev. A 66, 063603 (2002)ADSCrossRefGoogle Scholar
  23. 23.
    A. Imamoglu, H. Schmidt, G. Woods, M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997)ADSCrossRefGoogle Scholar
  24. 24.
    F. Brennecke, S. Ritter, T. Donner, T. Esslinger, Science 322, 235 (2008)ADSCrossRefGoogle Scholar
  25. 25.
    K. Zhang, W. Chen, M. Bhattacharya, P. Meystre, Phys. Rev. A 81, 013802 (2010)ADSCrossRefGoogle Scholar
  26. 26.
    T. Kumar, A.B. Bhattacherjee, ManMohan, Phys. Rev. A 81, 013835 (2010)ADSCrossRefGoogle Scholar
  27. 27.
    C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, B. Sundaram, M.G. Raizen, Phys. Rev. A 55, 857(R) (1997)ADSCrossRefGoogle Scholar
  28. 28.
    M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, C. Salomon, Phys. Rev. Lett. 76, 4508 (1996)ADSCrossRefGoogle Scholar
  29. 29.
    O. Morsch, J.H. Müller, M. Cristiani, D. Ciampini, E. Arimondo, Phys. Rev. Lett. 87, 140402 (2001)ADSCrossRefGoogle Scholar
  30. 30.
    B. Wu, Q. Niu, New J. Phys. 5, 104 (2003)ADSCrossRefGoogle Scholar
  31. 31.
    Y.-A. Chen, S.D. Huber, S. Trotzky, I. Bloch, E. Altman, Nat. Phys. 7, 61 (2011)CrossRefGoogle Scholar
  32. 32.
    S. Ritter, F. Brennecke, K. Baumann, T. Donner, C. Guerlin, T. Esslinger, Appl. Phys. B 95, 213 (2009)ADSCrossRefGoogle Scholar
  33. 33.
    R.W. Boyd, Nonlinear Optics (Elsevier Pte Ltd, Singapore, 2010)Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.School of Mathematics and Computer ScienceGuizhou Normal UniversityGuiyangP.R. China
  2. 2.Institute of Applied Physics and Computational MathematicsBeijingP.R. China

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