Related papers: Page curve and symmetries

Page curve and symmetries

URL: http://arxiv.org/abs/2206.09633v1
Date: Mon, 20 Jun 2022 08:31:01 GMT
Title: Page curve and symmetries
Authors: Pak Hang Chris Lau, Toshifumi Noumi, Yuhei Takii, Kotaro Tamaoka
Abstract summary: 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.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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.

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