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Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator

Quantum Physics 2011-11-18 v1 Quantum Gases

Abstract

We develop a mean-field model describing the Hamiltonian interaction of ultracold atoms and the optical field in a cavity. The Bose-Einstein condensate is properly defined by means of a grand-canonical approach. The model is efficient because only the relevant excitation modes are taken into account. However, the model goes beyond the two-mode subspace necessary to describe the self-organization quantum phase transition observed recently. We calculate all the second-order correlations of the coupled atom field and radiation field hybrid bosonic system, including the entanglement between the two types of fields.

Keywords

Cite

@article{arxiv.1101.3760,
  title  = {Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator},
  author = {G. Konya and G. Szirmai and P. Domokos},
  journal= {arXiv preprint arXiv:1101.3760},
  year   = {2011}
}

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10 pages