Entanglement contour and modular flow from subset entanglement entropies

DOI10.1007/JHEP05(2020)018zbMATH Open1437.81014arXiv1902.06905OpenAlexW3103898857MaRDI QIDQ779296

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Publication date: 21 July 2020

Published in: (Search for Journal in Brave)

Abstract: The Entanglement contour function quantifies the contribution from each degree of freedom in a region $mathcalA$ to the entanglement entropy $S_{mathcalA}$. Recently in cite{Wen:2018whg} the author gave two proposals for the entanglement contour in two-dimensional theories. The first proposal is a fine structure analysis of the entanglement wedge which applies to holographic theories. The second proposal is a claim that for general two-dimensional theories the partial entanglement entropy is given by a linear combination of entanglement entropies of relevant subsets inside $mathcalA$. In this paper we further study the partial entanglement entropy proposal by showing that it satisfies all the rational requirements proposed previously. We also extend the fine structure analysis from vacuum AdS space to BTZ black holes. Furthermore we give a simple prescription to generate the local modular flows for two-dimensional theories from only the entanglement entropies without refer to the explicit Rindler transformations.

Full work available at URL: https://arxiv.org/abs/1902.06905

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