Beyond the Thomas-Fermi Approximation for Nonlinear Dynamics of Trapped Bose-Condensed Gases

Abstract

We present an analytical approximation for nonlinear dynamics of trapped Bose-co ndensed gases. The new approximation is a substantial improvement over the Thomas-Fermi approximation and is shown to be applicable for systems with a rather small number of atoms N. The calculated aspect ratios after ballistic expansion are found to be in good agreement with those observed in recent experiments.

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