Numerical study of one-dimensional and interacting Bose-Einstein condensates in a random potential

Abstract

We present a detailed numerical study of the effect of a disordered potential on a confined one-dimensional Bose-Einstein condensate, in the framework of a mean-field description. For repulsive interactions, we consider the Thomas-Fermi and Gaussian limits and for attractive interactions the behavior of soliton solutions. We find that the disorder average spatial extension of the stationary density profile decreases with an increasing strength of the disordered potential both for repulsive and attractive interactions among bosons. In the Thomas Fermi limit, the suppression of transport is accompanied by a strong localization of the bosons around the state k=0 in momentum space. The time dependent density profiles differ considerably in the cases we have considered. For attractive Bose-Einstein condensates, a bright soliton exists with an overall unchanged shape, but a disorder dependent width. For weak disorder, the soliton moves on and for a stronger disorder, it bounces back and forth between high potential barriers.

13 pages, 13 figures, few typos corrected

References in corpus (6)

• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
• Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
• Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
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Cited by in corpus (2)

• Asymptotic localization of stationary states in the nonlinear Schroedinger equation
• Effect of interactions on the diffusive expansion of a Bose-Einstein condensate in a 3D random potential