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

• URL: http://arxiv.org/abs/2101.02171v4
• Date: Thu, 10 Jun 2021 09:42:28 GMT
• Title: Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism
• Authors: Adolfo del Campo, Fernando Javier G\'omez-Ruiz, Zhi-Hong Li, Chuan-Yin Xia, Hua-Bi Zeng, and Hai-Qing Zhang
• Abstract summary: We investigate universal signatures beyond the celebrated Kibble-Zurek mechanism (KZM) We characterize the distribution of vortices generated in a thermal quench leading to the formation of a holographic superconductor.
• Score: 52.77024349608834
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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