Dipolar Bose-Einstein Condensates with Weak Disorder

TL;DR

This paper investigates how weak disorder affects the properties of a polarized dipolar Bose-Einstein condensate, revealing anisotropic influences on superfluid density and sound velocity through mean-field analysis.

Contribution

It introduces a perturbative approach to analyze the impact of weak disorder on dipolar BECs, highlighting anisotropic effects on key physical observables.

Findings

Disorder induces anisotropy in superfluid density.

Sound velocity becomes direction-dependent due to disorder.

Mean-field theory effectively captures disorder effects in dipolar BECs.

Abstract

A homogeneous polarized dipolar Bose-Einstein condensate is considered in the presence of weak quenched disorder within mean-field theory at zero temperature. By first solving perturbatively the underlying Gross-Pitaevskii equation and then performing disorder ensemble averages for physical observables, it is shown that the anisotropy of the two-particle interaction is passed on to both the superfluid density and the sound velocity.