Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate

TL;DR

This paper investigates how ultracold Bose gases in one-dimensional disordered environments transition from localized Lifshits glass states to delocalized Bose-Einstein condensates as inter-atomic interactions increase.

Contribution

It provides a detailed analysis of the transition between localized and delocalized phases in 1D disordered Bose gases, including a schematic quantum-state diagram and equations of state.

Findings

Weak interactions lead to occupation of localized Lifshits states

Strong interactions result in a delocalized Bose-Einstein condensate

Derived equations of state for different interaction regimes

Abstract

We study an ultracold Bose gas in the presence of 1D disorder for repulsive inter-atomic interactions varying from zero to the Thomas-Fermi regime. We show that for weak interactions the Bose gas populates a finite number of localized single-particle Lifshits states, while for strong interactions a delocalized disordered Bose-Einstein condensate is formed. We discuss the schematic quantum-state diagram and derive the equations of state for various regimes.