Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximation
arXiv:cond-mat/0701764 · doi:10.1103/PhysRevA.75.063610
Abstract
We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary cylindrically symmetric harmonic traps. Our formulation is even applicable for condensates containing a multiply quantized axisymmetric vortex. We have checked the validity of our formulas by numerically solving the 3D Gross-Pitaevskii equation.
9 pages, 6 figures. Final version published in Phys. Rev. A. New formulas for the local sound velocity of cigar-shaped and disk-shaped condensates have been obtained. This paper generalizes our previous work cond-mat/0701695
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