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arXiv · 1312.6269

Normal and anomalous densities in Bose-Einstein condensate with optical lattices

M. Bendacha·Abdelaali Boudjemâa
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Abstract

We study the quantum phase transition from the superfluid to the Mott insulator state in two and three dimensional Bose-Einstein condensate (BEC) with optical lattices using Bose-Hubbard Hamiltonian within the Generalized Hatree-Fock-Bogoliubov (GHFB) approximation. The behavior of the depletion and the anomalous fraction has been investigated in the Mott insulator phase. We found that at T = 0, these quantities become significant in two and three dimensions. It is shown also that the dimensionality of the lattice enhances the anomalous density.

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M. Bendacha, Abdelaali Boudjemâa. 2013-12-21. Normal and anomalous densities in Bose-Einstein condensate with optical lattices. https://doi.org/10.1139/cjp-2013-0396

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