Bose-Einstein Condensation in a Trap: the Case of a Dense Condensate

TL;DR

This paper investigates Bose-Einstein condensation in dense atomic traps using a slave boson approach, revealing condensate depletion at high densities where traditional methods fail.

Contribution

It introduces a slave boson method applicable at any density, extending the analysis of Bose-Einstein condensates beyond low-density approximations.

Findings

Predicts condensate depletion in high-density regions

Agrees with Gross-Pitaevskii results at low density

Provides a new framework for dense condensate analysis

Abstract

We consider the Bose-Einstein condensation of atoms in a trap where the density of particles is so high that the low density approach of Gross and Pitaevskii will not be applicable. For this purpose we use the slave boson representation which is valid for hard-core bosons at any density. This description leads to the same results as the Gross-Pitaevskii approach in the low density limit, but for higher densities, it predicts the depletion of the order parameter field condensate in the regions where the density of the atomic cloud is high.