Bogoliubov Theory of Dipolar Bose Gas in Weak Random Potential

TL;DR

This paper develops a Bogoliubov theoretical framework to analyze how weak disorder affects condensate and superfluid depletion in a dilute dipolar Bose gas with both contact and dipole-dipole interactions.

Contribution

It introduces a theoretical approach to study the combined effects of long-range dipolar interactions and weak disorder on Bose gases.

Findings

Quantifies condensate depletion due to disorder and interactions.

Analyzes superfluid depletion in the presence of dipolar interactions.

Provides insights into the interplay between disorder and long-range interactions.

Abstract

We consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature in three dimensions. Within the realm of Bogoliubov theory we analyze how both condensate and superfluid depletion are depleted due to quantum and thermal fluctuations as well as disorder fluctuations.