Thomas-Fermi versus one- and two-dimensional regimes of a trapped dipolar Bose-Einstein condensate

TL;DR

This paper establishes criteria for the Thomas-Fermi and low-dimensional regimes of dipolar Bose-Einstein condensates in various geometries, highlighting the impact of anisotropic interactions and validating predictions with numerical solutions.

Contribution

It derives and validates criteria for different regimes of dipolar BECs, emphasizing the role of anisotropy and providing analytical density profiles.

Findings

Excellent agreement between predictions and numerical solutions

Anisotropy significantly affects the regime criteria

Provides explicit density profiles for different geometries

Abstract

We derive the criteria for the Thomas-Fermi regime of a dipolar Bose-Einstein condensate in cigar, pancake and spherical geometries. This also naturally gives the criteria for the mean-field one- and two-dimensional regimes. Our predictions, including the Thomas-Fermi density profiles, are shown to be in excellent agreement with numerical solutions. Importantly, the anisotropy of the interactions has a profound effect on the Thomas-Fermi/low-dimensional criteria.