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arXiv · 1705.01886

Turbulence scaling laws across the superfluid to supersolid transition

C. -H. Hsueh·Y. -C. Tsai·T. -L. Horng·M. Tsubota·W. C. Wu
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Abstract

We investigate quantum turbulence in a two-dimensional trapped supersolid and demonstrate that both the wave and vortex turbulence involve triple rather than dual cascades, as in a superfluid. Because of the presence of a second gapless mode associated with translation symmetry breaking, a new $k^{-13/3}$ scaling law is predicted to occur in the wave turbulence. Simultaneous fast vortex-antivortex creation and annihilation in the interior of the oscillating supersolid results in a $k^{-1}$ scaling law in the vortex turbulence. Numerical simulations based on the Gross-Pitaevskii equation confirmed the predictions.

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C. -H. Hsueh, Y. -C. Tsai, T. -L. Horng, M. Tsubota, W. C. Wu. 2017-05-04. Turbulence scaling laws across the superfluid to supersolid transition. https://arxiv.org/abs/1705.01886

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