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Stabilization of solitons generated by a supersonic flow of Bose-Einstein condensate past an obstacle
A M Kamchatnov1, L P Pitaevskii
1Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region, 142190, Russia.
Abstract:
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.
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