Normal and anomalous densities in Bose-Einstein condensate with optical lattices
arXiv:1312.6269 · doi:10.1139/cjp-2013-0396
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.
10 pages, 5 figures, Can.J. Phys in press
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