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 (10)

• Theory of Phase Ordering Kinetics
• Cosmological Experiments in Condensed Matter Systems
• Probing the Dynamics of Spontaneous Quantum Vortices in Polariton Superfluids
• Breakdown of Scaling in the Nonequilibrium Critical Dynamics of the Two-Dimensional XY Model
• Quench dynamics of the 2d XY model
• Phase Ordering Dynamics of the O(n) Model - Exact Predictions and Numerical Results
• Dynamic critical exponent of two-, three-, and four-dimensional XY models with relaxational and resistively shunted junction dynamics
• Dynamical Scaling: the Two-Dimensional XY Model Following a Quench
• Phase Ordering of 2D XY Systems Below T_{KT}
• Rapidly Quenched Kosterlitz-Thouless Superfluid Transitions

Cited by in corpus (13)

• A Path to the Direct Detection of sub-GeV Dark Matter Using Calorimetric Readout of a Superfluid ${}^4$He Target
• Universal coarsening dynamics of a quenched ferromagnetic spin-1 condensate
• Coarsening and thermalisation properties of a quenched ferromagnetic spin-1 condensate
• Emergent Non-Eulerian Hydrodynamics of Quantum Vortices in Two Dimensions
• Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas
• Scintillation yield from electronic and nuclear recoils in superfluid ${}^4$He
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• Corrections to scaling in the dynamic approach to the phase transition with quenched disorder
• Renormalized analytic solution for the enstrophy cascade in two-dimensional quantum turbulence
• Universal Quench Dynamics of an Open Quantum System
• Fundamental connection between temperature-quenched 2D superfluids and 2D quantum turbulence
• Dynamics of the forward vortex cascade in two-dimensional quantum turbulence
• Decaying superfluid turbulence near an anomalous non-thermal fixed point