Effects of Interactions and Temperature in Disordered Ultra-Cold Bose Gases

TL;DR

This paper investigates how interactions and temperature affect Anderson localization in disordered ultra-cold Bose gases, revealing that interactions can mask localization effects and complicate their experimental observation.

Contribution

It provides a detailed simulation study of the interplay between interactions, temperature, and disorder in ultra-cold Bose gases, highlighting how interactions influence localization signatures.

Findings

Interactions obscure exponential localization signatures

Finite temperature impacts localization behavior

Disorder and interactions interplay affects localization observation

Abstract

We simulate ultra-cold interacting Bosons in quasi-one-dimensional, incommensurate optical lattices. In the tight-binding limit, these lattices have pseudo-random on-site energies and thus can potentially lead to Anderson localization. We explore the parameter regimes that lead to Anderson localization and investigate the role of repulsive interactions, harmonic confinement and finite temperature. We find that interactions can obscure the exponential localization characteristic of Anderson localization, thus impeding the direct observation of this phenomenon when interactions are present.