Bose-Einstein condensate in a harmonic trap with an eccentric dimple potential

TL;DR

This paper studies Bose-Einstein condensation in a harmonic trap with an off-center dimple potential modeled as a point interaction, analyzing how the dimple's depth and position affect key properties of the condensate.

Contribution

It introduces a model for a tight, deep off-center dimple potential using a Dirac delta function and analyzes its effects on Bose-Einstein condensation properties.

Findings

Atomic density and condensate fraction are influenced by dimple position and depth.

Critical temperature varies with the dimple's parameters.

The role of the off-center dimple in condensate behavior is clarified.

Abstract

We investigate Bose-Einstein condensation of noninteracting gases in a harmonic trap with an off-center dimple potential. We specifically consider the case of a tight and deep dimple potential which is modelled by a point interaction. This point interaction is represented by a Dirac delta function. The atomic density, chemical potential, critical temperature and condensate fraction, the role of the relative depth and the position of the dimple potential are analyzed by performing numerical calculations.