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Phys. Rev. A 70, 013601 (2004) [4 pages]

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

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L. Pricoupenko
Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05, France

Received 10 September 2003; published 1 July 2004

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 pseudopotential of zero range that allows recovering perturbative results in the ultradilute limit, while back action of noncondensate 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.013601
DOI:
10.1103/PhysRevA.70.013601
PACS:
03.75.Hh, 05.30.Jp