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arXiv · 1111.5134

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

A. M. Kamchatnov·N. Pavloff
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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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A. M. Kamchatnov, N. Pavloff. 2012-03-05. Generation of dispersive shock waves by the flow of a Bose-Einstein condensate past a narrow obstacle. https://doi.org/10.1103/physreva.85.033603

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