Bose-Einstein condensates in a disordered potential: Anderson localization

Abstract

We have simulated a Bose-Einstein condensate in a disordered potential, whose main characteristics such as the frequency of its maxima and its amplitude can be controlled through two parameters: the correlation length and the disorder strength. Studying the 1D case, we have encountered Anderson localization, which is the localization of individual particles or waves in a disordered energetic landscape, under specific parameters for both the interacting and the non-interacting regime. We have not been able to unambiguously observe the same kind of localization for 2D systems, although we provide an explanation for this result in terms of the topology of the 2D disordered potential, and interactions.