Abrupt transition between three and two-dimensional quantum turbulence

Abstract

We present numerical evidence of a critical-like transition in an out-of-equilibrium mean-field description of a quantum system. By numerically solving the Gross-Pitaevskii equation we show that quantum turbulence displays an abrupt change between three-dimensional (3D) and two-dimensional (2D) behavior. The transition is observed both in quasi-2D flows in cubic domains (controlled by the amplitude of a 3D perturbation to the flow), as well as in flows in thin domains (controlled by the domain aspect ratio) in a configuration that mimics systems realized in laboratory experiments. In one regime the system displays a transfer of the energy towards smaller scales, while in the other the system displays a transfer of the energy towards larger scales and a coherent self-organization of the quantized vortices.

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• Emergence of a Turbulent Cascade in a Quantum Gas
• Emergence of order from turbulence in an isolated planar superfluid
• Dual cascade and dissipation mechanisms in helical quantum turbulence

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• Energy spectra and fluxes of turbulent rotating Bose-Einstein condensates in two dimensions
• Revealing turbulent Dark Matter via merging of self-Gravitating condensates
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• Vortex Retention Mediated Turbulent Transitions in Self-Gravitating Bosonic and Axionic Condensates
• Conformal invariance in out-of-equilibrium Bose-Einstein condensates governed by the Gross-Pitaevskii Equation
• Turbulence in rotating Bose-Einstein condensates
• Decaying superfluid turbulence near an anomalous non-thermal fixed point