Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-10-20
J. Phys. B: At. Mol. Opt. Phys. Vol 41, 045302 (2008), Selected as highlights in europhysicsnews, vol 39, no. 3, page 20 (2008
Physics
Condensed Matter
Other Condensed Matter
13 pages, 13 figures, few typos corrected
Scientific paper
10.1088/0953-4075/41/4/045302
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.
Akkermans Eric
Ghosh Sankalpa
Musslimani Ziad
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