Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials

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