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arXiv · 1505.02242

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

Alexander Yu. Cherny·Jean-Sébastien Caux·Joachim Brand
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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.

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Alexander Yu. Cherny, Jean-Sébastien Caux, Joachim Brand. 2017-11-14. Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials. https://doi.org/10.1088/1361-6455%2Faa9803

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