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

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  • Bose-Einstein condensates
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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.

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Authors and Affiliations

  1. Research Institute for Solid State Physics and Optics, P.O Box 49, 1525, Budapest, Hungary

    G. Kónya, G. Szirmai & P. Domokos

  2. ICFO-Institut de Ciències Fotòniques, Mediterranean Techonoly Park, 08860, Castelldefels (Barcelona), Spain

    G. Szirmai

Authors
  1. G. Kónya
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  2. G. Szirmai
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  3. P. Domokos
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Corresponding author

Correspondence to G. Szirmai.

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Kónya, G., Szirmai, G. & Domokos, P. Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator. Eur. Phys. J. D 65, 33–42 (2011). https://doi.org/10.1140/epjd/e2011-20050-3

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  • DOI: https://doi.org/10.1140/epjd/e2011-20050-3

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