Turbulence scaling laws across the superfluid to supersolid transition

2017/05/04 by C.-H. Hsueh, Y.‐C. Tsai, Hsueh, C. -H. +7
Earth and Planetary Sciences · Engineering · #FOS: Physical sciences #Geophysics and Gravity Measurements #Quantum Gases (cond-mat.quant-gas) #Spacecraft and Cryogenic Technologies

paper · pdf · doi:10.48550/arxiv.1705.01886

openalex publication_date 2017/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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