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Variational approach for the two-dimensional trapped Bose Einstein condensate

Ludovic Pricoupenko
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Abstract

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering perturbative results in the ultra-dilute limit, while back action of non-condensate particles on the condensate part is taken into account for higher density. As an application, we derive the equation of state and solve stability problems encountered in similar mean-field formalisms for a single vortex configuration.

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Ludovic Pricoupenko. 2004-02-15. Variational approach for the two-dimensional trapped Bose Einstein condensate. https://doi.org/10.1103/physreva.70.013601

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