Turbulence in a Bose-Einstein condensate

White, A.C., Proukakis, N.P., Youd, A.J., Wacks, D.H., Baggaley, A.W. and Barenghi, C.F. (2011) Turbulence in a Bose-Einstein condensate. Journal of Physics: Conference Series, 318(6), 062003. (doi: 10.1088/1742-6596/318/6/062003)

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We numerically model turbulence in a trapped atomic Bose-Einstein condensate by solving the Gross-Pitaevskii nonlinear Schroedinger equation. We find that, after an initial growth, the vortex length decays approximately as t−1 where t is time, consistent with experiments in turbulent superfluid helium, and that the velocity components obey power-law statistics, again in agreement with observations in turbulent superfluid helium. We find the same statistics, which contrasts to the Gaussian statistics observed in ordinary classical turbulence, in a variety of quantum fluids in two and three dimensions (trapped condensates, homogeneous condensates, vortex points, vortex filaments). We argue that the non-Gaussianity arises from the singular nature of quantised vorticity.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Baggaley, Dr Andrew
Authors: White, A.C., Proukakis, N.P., Youd, A.J., Wacks, D.H., Baggaley, A.W., and Barenghi, C.F.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Physics: Conference Series

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