Rapidly Quenched Kosterlitz-Thouless Superfluid Transitions

Abstract

Rapidly quenched Kosterlitz-Thouless (KT) superfluid transitions are studied by solving the Fokker-Planck equation for the vortex-pair dynamics in conjunction with the KT recursion relations. Power-law decays of the vortex density at long times are found, and the results are in agreement with a scaling proposal made by Minnhagen and co-workers for the dynamical critical exponent. The superfluid density is strongly depressed after a quench, with the subsequent recovery being logarithmically slow for starting temperatures near T${}_{KT}$. No evidence is found of vortices being ''created'' in a rapid quench, there is only decay of the existing thermal vortex pairs.

4 pages, 5 figures, revtex4, version accepted for PRL

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• Universal Scaling of the Dynamic BKT Transition in Quenched 2D Bose Gases
• Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas
• Exact Solution for Vortex Dynamics in Temperature Quenches of Two-Dimensional Superfluids
• Berezinskii-Kosterlitz-Thouless Transition with a Constraint Lattice Action
• Experimental determination of correlations between spontaneously formed vortices in a superconductor
• Vortex formation and dynamics in two-dimensional driven-dissipative condensates
• Dynamics of the forward vortex cascade in two-dimensional quantum turbulence
• On the dynamics of phase transitions and the nonequilibrium formation of topological defects
• Vortex Formation in Two-Dimensional Bose Gas
• Decaying superfluid turbulence near an anomalous non-thermal fixed point