Exact Solution for Vortex Dynamics in Temperature Quenches of Two-Dimensional Superfluids

Abstract

An exact analytic solution for the dynamics of vortex pairs is obtained for rapid temperature quenches of a superfluid film starting from the line of critical points below the critical temperature $T_{KT}$. An approximate solution for quenches at and above above $T_{KT}$ provides insights into the origin of logarithmic transients in the vortex decay, and are in general agreement with recent simulations of the quenched XY model. These results confirm that there is no "creation" of vortices whose density increases with the quench rate as predicted by the Kibble-Zurek theory, but only monotonic decay of the thermal vortices already present at the initial temperature.

Version accepted for PRL, 4 pages, 3 figures, and with Supplemental Material: 1 page, 1 figure

References in corpus (2)

• Probing the Dynamics of Spontaneous Quantum Vortices in Polariton Superfluids
• Quench dynamics of the 2d XY model

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