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First principle explanation of phase transition for Bose-Einstein condensates in optical lattices

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Abstract

In this paper we consider Bose-Einstein condensates (BECs) in one-, two- and three-dimension lattice potentials. The key argument for the explanation of the transition from Superfluidity phase to Mott-Insulator phase is suggested to be the spontaneous symmetry breaking effect which occurs for critical values of the ratio between the on-site interaction term and the hopping matrix element. Such an effect can be directly seen in the Gross-Pitaevskii equation with double-well potentials and it also explains the different behavior between one-dimensional models and two/three-dimensional models.

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Authors and Affiliations

  1. Department of Physics, Computer Sciences and Mathematics, University of Modena e Reggio Emilia, Via Campi 213/B, 41125, Modena, Italy

    Andrea Sacchetti

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  1. Andrea Sacchetti
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Correspondence to Andrea Sacchetti.

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Sacchetti, A. First principle explanation of phase transition for Bose-Einstein condensates in optical lattices. Eur. Phys. J. B 87, 243 (2014). https://doi.org/10.1140/epjb/e2014-50404-x

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  • DOI: https://doi.org/10.1140/epjb/e2014-50404-x

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