Localized states and interaction induced delocalization in Bose gases with quenched disorder

TL;DR

This paper investigates how dilute Bose gases in disordered environments transition from localized states to superfluidity as density increases, analyzing the critical point and characteristics of this quantum phase transition.

Contribution

It provides a detailed analysis of the geometrical and energetic properties of localized states and identifies the critical density for the transition to superfluidity in disordered Bose gases.

Findings

Localized states are characterized geometrically and energetically.

A critical density exists where the transition to superfluidity occurs.

Interaction overcomes disorder at the critical density.

Abstract

Very diluted Bose gas placed into a disordered environment falls into a fragmented localized state. At some critical density the repulsion between particles overcomes the disorder. The gas transits into a coherent superfluid state. In this article the geometrical and energetic characteristics of the localized state at zero temperature and the critical density at which the quantum phase transition from the localized to the superfluid state proceeds are found.