Page curve and symmetries
Abstract
Motivated by the quantum process of black hole evaporation and its implications for symmetries, we consider a qubit system with a random dynamics as a toy model of black hole. We compute its symmetry-resolved entropies and discuss its implications. We first consider the case where charges are conserved and compute the symmetry-resolved entropies. We derive a symmetry-resolved analogue of the Page curve. We then consider the case where symmetry is explicitly broken and charges are no longer conserved. It serves as a toy model for global symmetry breaking in black hole evaporation. Despite the simple framework, the symmetry-resolved entropies capture various interesting features during the analogous process of black hole evaporation in our qubit model.
Cite
@article{arxiv.2206.09633,
title = {Page curve and symmetries},
author = {Pak Hang Chris Lau and Toshifumi Noumi and Yuhei Takii and Kotaro Tamaoka},
journal= {arXiv preprint arXiv:2206.09633},
year = {2022}
}
Comments
7 pages, 4 figures