Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk

• URL: http://arxiv.org/abs/2406.09433v1
• Date: Fri, 7 Jun 2024 09:45:37 GMT
• Title: Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
• Authors: Chuan-Yin Xia, Hua-Bi Zeng, András Grabarits, Adolfo del Campo,
• Abstract summary: Superfluid phase transition dynamics is studied in the framework of the Einstein-Abelian-Higgs model in an $AdS_4$ black hole. For a slow quench, the vortex density admits a universal scaling law with the cooling rate as predicted by the Kibble-Zurek mechanism (KZM) For fast quenches, the density shows a universal scaling behavior as a function of the final temperature, that lies beyond the KZM prediction.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The superfluid phase transition dynamics and associated spontaneous vortex formation with the crossing of the critical temperature in a disk geometry is studied in the framework of the $AdS/CFT$ correspondence by solving the Einstein-Abelian-Higgs model in an $AdS_4$ black hole. For a slow quench, the vortex density admits a universal scaling law with the cooling rate as predicted by the Kibble-Zurek mechanism (KZM), while for fast quenches, the density shows a universal scaling behavior as a function of the final temperature, that lies beyond the KZM prediction. The vortex number distribution in both the power-law and saturation regimes can be approximated by a normal distribution. However, the study of the universal scaling of the cumulants reveals non-normal features and indicates that vortex statistics in the newborn superfluid is best described by the Poisson binomial distribution, previously predicted in the KZM regime [Phys. Rev. Lett. 124, 240602 (2020)]. This is confirmed by studying the cumulant scalings as a function of the quench time and the quench depth. Our work supports the existence of a universal defect number distribution that accommodates the KZM scaling, its breakdown at fast quenches, and the additional universal scaling laws as a function of the final value of the control parameter.

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