Superfluidity versus Anderson localization in a dilute Bose gas
T. Paul, P. Schlagheck, P. Leboeuf, and N. Pavloff

TL;DR
This paper investigates how interactions in a quasi-1D Bose-Einstein condensate affect superfluidity and localization, revealing two distinct flow regimes and analyzing their properties in disordered regions.
Contribution
It provides an analytical calculation of the interaction-dependent localization length and explains the disappearance of supersonic flow in large disordered samples.
Findings
Identification of subsonic superfluid and supersonic localized flow regimes.
Analytical expression for localization length depending on interactions.
Disappearance of supersonic flow in large disordered regions.
Abstract
We consider the motion of a quasi one dimensional beam of Bose-Einstein condensed particles in a disordered region of finite extent. Interaction effects lead to the appearance of two distinct regions of stationary flow. One is subsonic and corresponds to superfluid motion. The other one is supersonic, dissipative and shows Anderson localization. We compute analytically the interaction-dependent localization length. We also explain the disappearance of the supersonic stationary flow for large disordered samples.
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