Turbulence in a Bose-Einstein condensate

White, AC; Proukakis, NP; Youd, AJ; Wacks, DH; Baggaley, AW; Barenghi, CF

doi:10.1088/1742-6596/318/6/062003

Turbulence in a Bose-Einstein condensate

Lookup NU author(s): Dr Angela White, Professor Nikolaos Proukakis ORCiD, Dr Anthony Youd, Dr Daniel Wacks, Dr Andrew Baggaley ORCiD, Professor Carlo Barenghi

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Abstract

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.