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We propose a realistic experiment to demonstrate a dynamicKosterlitz-Thouless transition in ultra-cold atomic gases in two dimensions.With a numerical implementation of the Truncated Wigner Approximation wesimulate the time evolution of several correlation functions, which can bemeasured via matter wave interference. We demonstrate that the relaxationaldynamics is well-described by a real-time renormalization group approach, andargue that these experiments can guide the development of a theoreticalframework for the understanding of critical dynamics.

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