Two parameters scaling approach to Anderson localization of weekly interacting BEC

TL;DR

This paper introduces a two-parameter scaling approach to accurately describe Anderson localization in weakly interacting Bose-Einstein condensates within disordered one-dimensional systems, emphasizing the interplay of disorder and interactions.

Contribution

It proposes a novel two-parameter model to describe the density profile of weakly interacting BECs under disorder, advancing understanding of disorder-interaction interplay.

Findings

Density profile fits sum of two exponentials

Two parameters fully describe localization behavior

Highlights importance of interaction effects in localization

Abstract

We numerically study the Anderson localization of weekly interacting Bose-Einstein condensate in a one-dimensional disordered potential. We show that two parameters are needed to completely describe such system, and the density profile of which can be described with the sum of two exponential functions. This is a new attempt for precise description of systems with interplay of disorder and interaction.