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Nuclear Physics A

Generation of oblique dark solitons in supersonic flow of Bose-Einstein condensate past an obstacle

Gennady A. El, A. Gammal, A. M. Kamchatnov

Published Jun 1, 2007• 3 citations
Publisher
DOI
10.1016/j.nuclphysa.2007.03.024

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The stability of dark solitons generated by supersonic flow of a Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle a transition occurs at some critical value of the flow velocity from absolute instability of dark solitons to their convective instability. This leads to the decay of disturbances of solitons at a fixed distance from the obstacle and the formation of effectively stable dark solitons. This phenomenon explains the surprising stability of the flow picture that has been observed in numerical simulations.