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

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

2011-11-22

arxiv.org/abs/1111.5134v2

Phys. Rev. A 85, 033603 (2012)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1103/PhysRevA.85.033603

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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