Momentum distribution of Vinen turbulence in trapped atomic Bose-Einstein condensates

Abstract

The decay of multicharged vortices in trapped Bose-Einstein condensates may lead to a disordered vortex state consistent with the Vinen regime of turbulence, characterized by an absence of large-scale flow and an incompressible kinetic energy spectrum $E\propto k^{-1}$. In this work, we study numerically the dynamics of a three-dimensional harmonically trapped Bose-Einstein condensate excited to a Vinen regime of turbulence through the decay of two doubly-charged vortices. First, we study the momentum distribution and observe the emergence of a power-law behavior $n(k)\propto k^{-3}$ consistent with the coexistence of wave turbulence. We also study the kinetic energy and particle fluxes, which allows us to identify a direct particle cascade associated with the turbulent stage.

arXiv comment5 pages, 2 figures

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• Entropy of a Turbulent Bose-Einstein Condensate
• Dynamic instabilities and turbulence of merged rotating Bose-Einstein condensates
• Energy spectra and fluxes of two-dimensional turbulent quantum droplets
• Turbulence in rotating Bose-Einstein condensates