Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
arXiv:1505.02242 · doi:10.1088/1361-6455/aa9803
Abstract
We study the frictional force exerted on the trapped, interacting 1D Bose gas under the influence of a moving random potential. Specifically we consider weak potentials generated by optical speckle patterns with finite correlation length. We show that repulsive interactions between bosons lead to a superfluid response and suppression of frictional force, which can inhibit the onset of Anderson localisation. We perform a quantitative analysis of the Landau instability based on the dynamic structure factor of the integrable Lieb-Liniger model and demonstrate the existence of effective mobility edges.
9 pages, 4 figures
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