Superfluid transition in a Bose gas with correlated disorder

TL;DR

This paper investigates how correlated disorder affects the superfluid transition in a three-dimensional Bose gas, using quantum Monte Carlo simulations to analyze shifts in transition temperature and critical parameters.

Contribution

It provides new insights into the effects of correlated disorder on superfluidity, including the behavior of critical chemical potential and transition temperature shifts.

Findings

Disorder causes a linear dependence of critical chemical potential on disorder strength.

Normal phase persists at high degeneracy parameters under strong disorder.

Interactions and disorder correlations significantly influence the superfluid transition.

Abstract

The superfluid transition of a three-dimensional gas of hard-sphere bosons in a disordered medium is studied using quantum Monte Carlo methods. Simulations are performed in continuous space both in the canonical and in the grand-canonical ensemble. At fixed density we calculate the shift of the transition temperature as a function of the disorder strength, while at fixed temperature we determine both the critical chemical potential and the critical density separating normal and superfluid phases. In the regime of strong disorder the normal phase extends up to large values of the degeneracy parameter and the critical chemical potential exhibits a linear dependence in the intensity of the random potential. The role of interactions and disorder correlations is also discussed.