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arXiv · 0904.2881

A supercritical superfluid and vortex unbinding following a quantum quench

L. Mathey·A. Polkovnikov
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Abstract

We study the dynamics of the relative phase of a bilayer of two-dimensional superfluids after the two superfluids have been decoupled, using truncated Wigner approximation. On short time scales the relative phase shows "light cone" like thermalization and creates a metastable superfluid state, which can be supercritical. On longer time scales this state relaxes to a disordered state due to dynamical vortex unbinding. This scenario of dynamically suppressed vortex proliferation constitutes a {\it reverse-Kibble-Zurek effect}. We observe dynamics of creation of vortex anti-vortex pairs and their consequent motion. Our predictions can be directly measured in interference experiments, see Ref 1.

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L. Mathey, A. Polkovnikov. 2009-04-19. A supercritical superfluid and vortex unbinding following a quantum quench. https://doi.org/10.1103/physreva.80.041601

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