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arXiv · 2205.07551

Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench

Thibault Scoquart·Dominique Delande·Nicolas Cherroret
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Abstract

We study the dynamical evolution of a two-dimensional Bose gas after a disorder potential quench. Depending on the initial conditions, the system evolves either to a thermal or a superfluid state. Using extensive quasi-exact numerical simulations, we show that the two phases are separated by a Kosterlitz-Thouless transition. The thermalization time is shown to be longer in the superfluid phase, but no critical slowing down is observed at the transition. The long-time phase diagram is well reproduced by a simple theoretical model. The spontaneous emergence of Kosterlitz-Thouless transitions following a quench is a generic phenomenon that should arise both in the context of non-equilibrium quantum gases and nonlinear, classical wave systems.

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Thibault Scoquart, Dominique Delande, Nicolas Cherroret. 2022-05-16. Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench. https://doi.org/10.1103/physreva.106.l021301

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