# Holographic Non-equilibrium Heating

## TL;DR

This paper investigates the evolution of holographic entanglement entropy during non-equilibrium heating after a global quench, revealing temperature-independent regimes and temperature-dependent quantitative characteristics.

## Contribution

It demonstrates that key regimes of entanglement entropy evolution are universal across initial temperatures, with specific quantitative features depending on temperature.

## Key findings

- Regimes of entanglement entropy evolution are independent of initial temperature.
- Critical exponents are temperature-independent, but prefactors vary with temperature.
- The process is modeled by injecting a thin shell of matter into a black hole background.

## Abstract

We study the holographic entanglement entropy evolution after a global sharp quench of thermal state. After the quench, the system comes to equilibrium and the temperature increases from $T_i$ to $T_f$. Holographic dual of this process is provided by an injection of a thin shell of matter in the black hole background. The quantitative characteristics of the evolution depend substantially on the size of the initial black hole. We show that characteristic regimes during non-equilibrium heating do not depend on the initial temperature and are the same as in thermalization. Namely these regimes are pre-local-equilibration quadratic growth, linear growth and saturation regimes of the time evolution of the holographic entanglement entropy. We study the initial temperature dependence of quantitative characteristics of these regimes and find that the critical exponents do not depend on the temperature, meanwhile the prefactors are the functions on the temperature.