Variational approach for the two-dimensional trapped Bose Einstein condensate

Ludovic Pricoupenko (1)

1 LPTL - Laboratoire de Physique Théorique des Liquides

We present a formalism which takes into account the back action of the non-condensed fraction on the condensate field in a two-dimensional trapped Bose Einsteincondensate. For this purpose, we use the many-body variational gaussian approach while interactions are described using a generalized pseudo-potential. By this way, we predict a non trivial equation of state beyond the ultra-dilute limit and solve stability problems encountered in similar but non-variational formalisms for a single vortex configuration at finite temperature.

Mots clés: Bose-Einstein condensate; Two-dimensional trap; HFB; vortex; anomalous mode; pseudo-potential; variational approach

Domaines: Autre [cond-mat.other]

Ludovic Pricoupenko. Variational approach for the two-dimensional trapped Bose Einstein condensate. 2003. ⟨hal-00000582v1⟩