Variational approach for the two-dimensional trapped Bose Einstein condensate

Ludovic Pricoupenko (1)

1 LPTL - Laboratoire de Physique Théorique des Liquides

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.

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. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2004, 70, pp.013601. ⟨hal-00000582v2⟩