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A study of trapped Bose gas beyond mean-field theory

Arup Banerjee·Manoranjan P. Singh
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Abstract

We study the ground-state properties of dilute Bose gas confined to both isotropic and anisotropic traps to assess the accuracy of Gross-Pitaevskii (GP) theory. To go beyond GP approximation we use Huang-Yang theory of interatomic interaction energy for hard-sphere Bose gas and use a variational method to solve the resulting modified GP equation. We also make an analytic estimate of the corrections due to higher-order terms in the interatomic interaction energy. We find that the corrections are of the order of 1 percent. However, there is a qualitative change in the density profile due to presence of logarithimic term in the interaction energy for large N (number of atoms)

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Arup Banerjee, Manoranjan P. Singh. 2000-09-02. A study of trapped Bose gas beyond mean-field theory. https://arxiv.org/abs/cond-mat/0009023

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