Fundamental Connection Between Temperature-Quenched 2D Superfluids and 2D Quantum Turbulence

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.