# Kibble-Zurek scaling in holography

## TL;DR

This paper investigates the Kibble-Zurek mechanism within holographic superconductors, revealing an emergent scaling behavior at critical points and providing insights into dynamic critical exponents through analytical methods.

## Contribution

It introduces an analytical approach to understand Kibble-Zurek scaling in holography, highlighting an emergent scaling at critical points not evident in the original bulk theory.

## Key findings

- Identifies an emergent scaling behavior at the critical point.
- Provides a method to determine the dynamic critical exponent z.
- Connects holographic KZ scaling with mean-field theory analysis.

## Abstract

The Kibble-Zurek (KZ) mechanism describes the generations of topological defects when a system undergoes a second-order phase transition via quenches. We study the holographic KZ scaling using holographic superconductors. The scaling can be understood analytically from a scaling analysis of the bulk action. The argument is reminiscent of the scaling analysis of the mean-field theory but is more subtle and is not entirely obvious. This is because the scaling is not the one of the original bulk theory but is an emergent one that appears only at the critical point. The analysis is also useful to determine the dynamic critical exponent $z$.