Crossover in the dynamical critical exponent of a quenched two-dimensional Bose gas

Abstract

We study the phase ordering dynamics of a uniform Bose gas in two dimensions following a quench into the ordered phase. We explore the crossover between dissipative and conservative evolution by performing numerical simulations within the classical field methodology. Regardless of the dissipation strength, we find clear evidence for universal scaling, with dynamical critical exponent $z$ characterising the growth of the correlation length. In the dissipative limit we find growth consistent with the logarithmically corrected law $[t/\log (t/t_0){]}^{1/z}$, and exponent $z=2$, in agreement with previous studies. Decreasing the dissipation towards the conservative limit, we find strong numerical evidence for the expected growth law $t^{1/z}$. However, we observe a smooth crossover in $z$ that converges to an anomalous value distinctly lower than $2$ at a small finite dissipation strength. We show that this lower exponent may be attributable to a power-law vortex mobility arising from vortex--sound interactions.

arXiv comment12 pages, 13 figures. Content the same as published version

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• Universal Scaling of the Dynamic BKT Transition in Quenched 2D Bose Gases
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• Universal Coarsening in a Homogeneous Two-Dimensional Bose Gas
• A universal speed limit for spreading of coherence
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