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Defect extremal surface for reflected entropy
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DOI：10.1007/JHEP01(2022)018.png)
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摘要
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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)/BCFT2. We also compute the evolution of reflected entropy in evaporating black hole model and find that defect extremal surface formula agrees with island formula.
Keyword:
AdS-CFT Correspondence
Gauge-gravity correspondence
Holography and condensed matter physics (AdS/CMT)
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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引用论文
Entanglement Entropies of Equilibrated Pure States in Quantum Many-Body Systems and Gravity.png)
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