paper

Generation of dispersive shock waves by the flow of a Bose-Einstein condensate past a narrow obstacle

arXiv:1111.5134 · doi:10.1103/PhysRevA.85.033603

Abstract

We study the flow of a quasi-one-dimensional Bose-Einstein condensate incident onto a narrow obstacle. We consider a configuration in which a dispersive shock is formed and propagates upstream away from the obstacle while the downstream flow reaches a supersonic velocity, generating a sonic horizon. Conditions for obtaining this regime are explicitly derived and the accuracy of our analytical results is confirmed by numerical simulations.

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