Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate
arXiv:cond-mat/0602622 · doi:10.1140/epjd/e2006-00166-3
Abstract
We study the elementary excitations of a transversely confined Bose-Einstein condensate in presence of a weak axial random potential. We determine the localization length (i) in the hydrodynamical low energy regime, for a domain of linear densities ranging from the Tonks-Girardeau to the transverse Thomas-Fermi regime, in the case of a white noise potential and (ii) for all the range of energies, in the ``one-dimensional mean field regime'', in the case where the randomness is induced by a series of randomly placed point-like impurities. We discuss our results in view of recent experiments in elongated BEC systems.
11 pages, 6 figures. Final printed version
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