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Chinese Physics Letters

Bose-Einstein Condensation in a Spherical Symmetric Harmonic Trap

Yan Jia-Ren, Lü Jing, Ao Sheng-Mei, Cao Dong-Bo

Published Aug 22, 2002• 9 citations
Publisher

Abstract

Using a perturbation theory approach, we derive an approximate analytical solution of the Gross-Pitaevskii equation in a spherical symmetric harmonic trap. This solution is consistent with that obtained numerically.
DOI
10.1088/0256-307x/19/9/308

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An approximate solution to the Gross-Pitaevskii equation for Bose-Einstein condensate in a spherical harmonic trap is suggested, which is valid in the whole interval of the coupling parameter, correctly interpolating between weak-coupling and strong-coupling limits. This solution is shown to be more accurate than the optimized Gaussian approximation as well as the Thomas-Fermi approximation. The derivation of the solution is based on the self-similar approximation theory. The possibility of obtaining interpolation formulas in the case of nonspherical traps is discussed.
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