Defect Extremal Surface for Reflected Entropy

• URL: http://arxiv.org/abs/2108.08544v1
• Date: Thu, 19 Aug 2021 08:15:49 GMT
• Title: Defect Extremal Surface for Reflected Entropy
• Authors: Tianyi Li, Ma-Ke Yuan, Yang Zhou
• Abstract summary: Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula corrected by the quantum defect theory. We introduce a defect extremal surface formula for reflected entropy, which is a mixed state generalization of entanglement entropy measure.
• Score: 11.387939692421188
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula corrected by the quantum defect theory. This is interesting when the AdS bulk contains a defect brane (or string). We introduce a defect extremal surface formula for reflected entropy, which is a mixed state generalization of entanglement entropy measure. Based on a decomposition procedure of an AdS bulk with a brane, we demonstrate the equivalence between defect extremal surface formula and island formula for reflected entropy in AdS$_3$/BCFT$_2$. We also compute the evolution of reflected entropy in evaporating black hole model and find that defect extremal surface formula agrees with island formula.

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