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arXiv · 2101.02171

Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism

Adolfo del Campo·Fernando Javier Gómez-Ruiz·Zhi-Hong Li·Chuan-Yin Xia·Hua-Bi Zeng·Hai-Qing Zhang
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Abstract

Traversing a continuous phase transition at a finite rate leads to the breakdown of adiabatic dynamics and the formation of topological defects, as predicted by the celebrated Kibble-Zurek mechanism (KZM). We investigate universal signatures beyond the KZM, by characterizing the distribution of vortices generated in a thermal quench leading to the formation of a holographic superconductor. The full counting statistics of vortices is described by a binomial distribution, in which the mean value is dictated by the KZM and higher-order cumulants share the universal power-law scaling with the quench time. Extreme events associated with large fluctuations no longer exhibit a power-law behavior with the quench time and are characterized by a universal form of the Weibull distribution for different quench rates.

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Adolfo del Campo, Fernando Javier Gómez-Ruiz, Zhi-Hong Li, Chuan-Yin Xia, Hua-Bi Zeng, Hai-Qing Zhang. 2021-01-06. Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism. https://doi.org/10.1007/jhep06(2021)061

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