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.
Similar content being viewed by others
References
P. Domokos, H. Ritsch, Phys. Rev. Lett. 89, 253003 (2002)
D. Nagy, G. Szirmai, P. Domokos, Eur. Phys. J. D 48, 127 (2008)
J.K. Asbóth, P. Domokos, H. Ritsch, A. Vukics, Phys. Rev. A 72, 053417 (2005)
R.H. Dicke, Phys. Rev. 93, 99 (1954)
Y.K. Wang, F.T. Hioe, Phys. Rev. A 7, 831 (1973)
K. Baumann, C. Guerlin, F. Brennecke, T. Esslinger, Nature 464, 1301 (2010)
D. Nagy, G. Konya, G. Szirmai, P. Domokos, Phys. Rev. Lett. 104, 130401 (2010)
J. Larson, B. Damski, G. Morigi, M. Lewenstein, Phys. Rev. Lett. 100, 050401 (2008)
S.C. Li, L.B. Fu, J. Liu, Phys. Rev. A 84, 053610 (2011)
S. Slama, S. Bux, G. Krenz, C. Zimmermann, P.W. Courteille, Phys. Rev. Lett. 98, 053603 (2007)
S. Gupta, K.L. Moore, K.W. Murch, D.M. Stamper-Kurn, Phys. Rev. Lett. 99, 213601 (2007)
J.A. Sauer, K.M. Fortier, M.S. Chang, C.D. Hamley, M.S. Chapman, Phys. Rev. A 69, 051804 (2004)
S. Ritter, F. Brennecke, K. Baumann, T. Donner, C. Guerlin, T. Esslinger, Appl. Phys. B 95, 213 (2009)
L. Zhou, H. Pu, H.Y. Ling, W. Zhang, Phys. Rev. Lett. 103, 160403 (2009)
J.M. Zhang, F.C. Cui, D.L. Zhou, W.M. Liu, Phys. Rev. A 79, 033401 (2009)
S. Yang, M. Al-Amri, J. Evers, M.S. Zubairy, Phys. Rev. A 83, 053821 (2011)
G. Szirmai, D. Nagy, P. Domokos, Phys. Rev. A 81, 043639 (2010)
B. Prasanna Venkatesh, J. Larson, D.H.J. O’Dell, Phys. Rev. A 83, 063606 (2011)
B. Wu, Q. Niu, Phys. Rev. A 61, 023402(R) (2000)
M. Machholm, C.J. Pethick, H. Smith, Phys. Rev. A 67, 053613 (2003)
M. Kramer, C. Menotti, L. Pitaevskii, S. Stringari, Eur. Phys. J. D 27, 247 (2003)
E.J. Mueller, Phys. Rev. A 66, 063603 (2002)
A. Imamoglu, H. Schmidt, G. Woods, M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997)
F. Brennecke, S. Ritter, T. Donner, T. Esslinger, Science 322, 235 (2008)
K. Zhang, W. Chen, M. Bhattacharya, P. Meystre, Phys. Rev. A 81, 013802 (2010)
T. Kumar, A.B. Bhattacherjee, ManMohan, Phys. Rev. A 81, 013835 (2010)
C.F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, B. Sundaram, M.G. Raizen, Phys. Rev. A 55, 857(R) (1997)
M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, C. Salomon, Phys. Rev. Lett. 76, 4508 (1996)
O. Morsch, J.H. Müller, M. Cristiani, D. Ciampini, E. Arimondo, Phys. Rev. Lett. 87, 140402 (2001)
B. Wu, Q. Niu, New J. Phys. 5, 104 (2003)
Y.-A. Chen, S.D. Huber, S. Trotzky, I. Bloch, E. Altman, Nat. Phys. 7, 61 (2011)
S. Ritter, F. Brennecke, K. Baumann, T. Donner, C. Guerlin, T. Esslinger, Appl. Phys. B 95, 213 (2009)
R.W. Boyd, Nonlinear Optics (Elsevier Pte Ltd, Singapore, 2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zheng, Q., Li, S.C. & Fu, L.B. Controllable band loops of ultracold atoms in a cavity. Eur. Phys. J. D 66, 271 (2012). https://doi.org/10.1140/epjd/e2012-30288-8
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2012-30288-8