Time dependence of entanglement for steady state formation in AdS$_3$/CFT$_2$
Abstract
We consider a holographic model of two 1+1-dimensional heat baths at different temperatures joined at time , such that a steady state heat-current region forms and expands in space for times . After commenting on the causal structure of the dual 2+1-dimensional spacetime, we present how to calculate the time-dependent entanglement entropy of the boundary system holographically. We observe that the increase rate of the entanglement entropy satisfies certain bounds known from the literature on entanglement tsunamis. Furthermore, we check the validity of several non-trivial entanglement inequalities in this dynamic system.
Cite
@article{arxiv.1709.08614,
title = {Time dependence of entanglement for steady state formation in AdS$_3$/CFT$_2$},
author = {Mario Flory and Johanna Erdmenger and Daniel Fernandez and Eugenio Megias and Ann-Kathrin Straub and Piotr Witkowski},
journal= {arXiv preprint arXiv:1709.08614},
year = {2018}
}
Comments
6 pages, 6 figures, these proceedings summarize a talk given at the Karl Schwarzschild Meeting 2017 and the much longer paper 1705.04696. v2: reference added