Variational approach for the two-dimensional trapped Bose Einstein condensate

Details Variational approach for the two-dimensional trapped Bose Einstein condensate Variational approach for the two-dimensional trapped Bose Einstein condensate

2003-09-09

arxiv.org/abs/cond-mat/0309212v2

Physical Review A 70 (2004) 013601

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.70.013601

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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