Authors: Sandipan Kundu Juan F Pedraza
Publish Date: 2016/08/31
Volume: 2016, Issue: 8, Pages: 177-
Abstract
We investigate the behavior of entanglement entropy at finite temperature and chemical potential for strongly coupled largeN gauge theories in ddimensions d ≥ 3 that are dual to Antide SitterReissnerNordstrom geometries in d + 1−dimensions in the context of gaugegravity duality We develop systematic expansions based on the RyuTakayanagi prescription that enable us to derive analytic expressions for entanglement entropy and mutual information in different regimes of interest Consequently we identify the specific regions of the bulk geometry that contribute most significantly to the entanglement entropy of the boundary theory at different limits We define a scale dubbed as the effective temperature which determines the behavior of entanglement in different regimes At high effective temperature entanglement entropy is dominated by the thermodynamic entropy however mutual information subtracts out this contribution and measures the actual quantum entanglement Finally we study the entanglement/disentanglement transition of mutual information in the presence of chemical potential which shows that the quantum entanglement between two subregions decreases with the increase of chemical potentialThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team
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