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Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation

Jens O. Andersen·Haarek Haugerud
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Abstract

We consider the ground state of a trapped Bose-Einstein condensate in two dimensions. In the mean-field approximation, the ground state density profile satisfies the Gross-Pitaevskii equation. We compute the leading quantum corrections to the density profile to second order in an expansion around the Thomas-Fermi limit. By summing the ladder diagrams, we are generalizing Schick's result for the ground state energy of a homogeneouns Bose gas to the case of a trapped Bose gas.

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Jens O. Andersen, Haarek Haugerud. 2000-12-07. Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation. https://doi.org/10.1103/physreva.65.033615

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