Fundamental connection between temperature-quenched 2D superfluids and 2D quantum turbulence

TL;DR

This paper reveals a fundamental link between temperature-quenched 2D superfluids and 2D quantum turbulence, showing how enstrophy cascades govern vorticity decay and scale with time, with implications for phase-ordering transitions.

Contribution

It establishes a direct connection between superfluid decay mechanisms and turbulence cascades, introducing a dynamic scaling law for the cascade range after a quench.

Findings

Cascade range increases as t^{1/2} after quench

Vorticity decay governed by enstrophy cascade

Results applicable to phase-ordering transitions involving topological defects

Abstract

There is a fundamental connection between temperature-quenched 2D superfluids and 2D quantum turbulence: the mechanism responsible for the decay of the vorticity after the quench is the enstrophy cascade of 2D turbulence. The range of the cascade is shown to increase with time after the quench as $t^{1/2}$, being equal to the dynamic scaling length characterizing the quench. These results may apply to other phase-ordering transitions involving the decay of topological objects.