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Exact solution for vortex dynamics in temperature quenches of two-dimensional superfluids
Andrew Forrester1, Han-Ching Chu, Gary A Williams
1Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.
Physical Review Letters
|May 18, 2013
Summary
This study provides an exact solution for superfluid dynamics after rapid temperature changes, revealing that vortices decay monotonically rather than being created, contradicting some theories.
Area of Science:
- Condensed Matter Physics
- Quantum Fluids
- Superfluidity
Background:
- Superfluid films exhibit unique quantum phenomena, including vortex dynamics.
- Rapid temperature changes (quenches) can induce phase transitions and topological defect formation.
- The Kibble-Zurek theory predicts vortex creation proportional to quench rate.
Purpose of the Study:
- To derive an exact analytic solution for vortex pair dynamics in superfluid films during rapid temperature quenches.
- To investigate the origin of logarithmic transients in vortex decay.
- To compare theoretical predictions with simulations and experimental observations.
Main Methods:
- Obtained an exact analytic solution for quenches below the critical temperature (T(KT)).
- Developed an approximate solution for quenches at and above T(KT).
- Analyzed vortex decay dynamics and transient behaviors.
Main Results:
- Confirmed monotonic decay of pre-existing thermal vortices, not new vortex creation.
- The vortex density does not increase with quench rate, challenging Kibble-Zurek predictions.
- Logarithmic transients in vortex decay are explained by the approximate solution.
Conclusions:
- Vortex dynamics in quenched superfluid films are dominated by decay, not creation.
- The findings challenge the universal applicability of the Kibble-Zurek mechanism for vortex production.
- Results align with simulations of the quenched XY model, supporting the decay mechanism.
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