Topologically protected pure helicity cascade in non-Abelian quantum turbulence

2016/06/23 by Michikazu Kobayashi, Masahito Ueda, Kobayashi, Michikazu +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1606.07190

openalex publication_date 2016/06/23 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

By numerically studying non-Abelian quantum turbulence, we find that the helicity cascade and the inverse energy cascade are topologically protected against reconnection of vortices and lead to the energy spectrum E(k) ∝ k^-7/3 for a large-scale energy injection and E(k) ∝ k^-5/3 for a small-scale energy injection with a large-scale web of non-Abelian vortices. Our prediction can be tested in the cyclic phase of a spin-2 spinor Bose-Einstein condensate.

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