Breakdown of Anderson localization of interacting quantum bright solitons in a disorder potential

TL;DR

This paper investigates how interactions between bright solitons in a Bose-Einstein condensate affect Anderson localization, showing that even weak interactions can alter localization and strong interactions can destroy it.

Contribution

It provides a detailed analysis of the impact of soliton interactions on Anderson localization, highlighting the conditions needed to observe localization effects experimentally.

Findings

Weak interactions modify localization properties.

Strong interactions break localization.

Single soliton preparation is necessary for observation.

Abstract

The center of mass of a bright soliton in a Bose-Einstein condensate may reveal Anderson localization in the presence of a weak disorder potential. We analyze the effects of interactions between two bright solitons on the Anderson localization phenomenon. Perturbation calculus shows that even very weak interactions modify localization properties of the system eigenstates. For stronger interactions, i.e. when the solitons are close to each other, the localization is totally broken. It implies that in order to experimentally observe the Anderson localization effects, a single bright soliton has to be prepared and excitation of soliton trains must be avoided.