Thomas-Fermi versus one- and two-dimensional regimes of a trapped dipolar Bose-Einstein condensate
arXiv:0807.5110 · doi:10.1103/PhysRevA.78.041601
Abstract
We derive the criteria for the Thomas-Fermi regime of a dipolar Bose-Einstein condensate in cigar, pancake and spherical geometries. This also naturally gives the criteria for the mean-field one- and two-dimensional regimes. Our predictions, including the Thomas-Fermi density profiles, are shown to be in excellent agreement with numerical solutions. Importantly, the anisotropy of the interactions has a profound effect on the Thomas-Fermi/low-dimensional criteria.
arXiv comment5 pages, 2 figures
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- Collective excitation frequencies and stationary states of trapped dipolar Bose-Einstein condensates in the Thomas-Fermi regime
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