Thomas-Fermi Breakdown for Highly Anisotropic Bose Condensates: Alternative Analytic Forms

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  • 30 June 2001
Abstract
For highly anisotropic Bose condensates, the kinetic energy in the squeezed direction cannot be neglected unless the atom number is extremely large. Therefore, the usual Thomas-Fermi approximation (TFA) breaks down. Alternative analytic forms valid for such condensates are presented for the condensate wavefunction and various physical parameters, and they are compared with results from accurate numerical methods and the TFA. Applications of these forms are illustrated by estimating excited state eigenvalues and eigenfunctions of highly anisotropic condensates.

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