Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms

TL;DR

This paper proposes an experiment to observe a dynamic Kosterlitz-Thouless transition in 2D ultra-cold atomic gases, supported by numerical simulations and a real-time renormalization group analysis.

Contribution

It introduces a realistic experimental setup and numerical methods to study the critical dynamics of the Kosterlitz-Thouless transition in 2D Bose gases.

Findings

Correlation functions evolve as predicted by the real-time RG approach

Simulations show measurable signatures of the transition in matter wave interference

The approach provides insights into non-equilibrium critical phenomena

Abstract

We propose a realistic experiment to demonstrate a dynamic Kosterlitz-Thouless transition in ultra-cold atomic gases in two dimensions. With a numerical implementation of the Truncated Wigner Approximation we simulate the time evolution of several correlation functions, which can be measured via matter wave interference. We demonstrate that the relaxational dynamics is well-described by a real-time renormalization group approach, and argue that these experiments can guide the development of a theoretical framework for the understanding of critical dynamics.