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arXiv:nlin/0507051 · Physica D Nonlinear Phenomena

Wave turbulence and vortices in Bose–Einstein condensation

Sergey Nazarenko, Miguel Onorato

Published Jul 1, 2006• 121 citations
arXivHTMLPDF
DOI
10.1016/j.physd.2006.05.007

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We investigate a procedure to generate turbulence in a trapped Bose-Einstein condensate which takes advantage of the decay of multicharged vortices to reduce surface oscillations. We show that the resulting singly charged vortices twist around each other, intertwined in the shape of helical Kelvin waves, which collide and undergo vortex reconnections, creating a disordered vortex state. By examining the velocity statistics, the energy spectrum, the correlation functions, and the temporal decay and comparing these properties with the properties of classical turbulence and observations in superfluid helium, we conclude that this disordered vortex state can be identified with the Vinen regime of turbulence which has been discovered in the context of superfluid helium.