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arXiv · 2206.05951

Entanglement Negativity and Defect Extremal Surface

Yilu Shao·Ma-Ke Yuan·Yang Zhou
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Abstract

We study entanglement negativity for evaporating black hole based on the holographic model with defect brane. We introduce a defect extremal surface formula for entanglement negativity. Based on partial reduction, we show the equivalence between defect extremal surface formula and island formula for entanglement negativity in AdS$_3$/BCFT$_2$. Extending the study to the model of eternal black hole plus CFT bath, we find that black hole-black hole negativity decreases until vanishing, left black hole-left radiation negativity is always a constant, radiation-radiation negativity increases and then saturates at a time later than Page time. In all the time dependent cases, defect extremal surface formula agrees with island formula.

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Yilu Shao, Ma-Ke Yuan, Yang Zhou. 2022-06-13. Entanglement Negativity and Defect Extremal Surface. https://doi.org/10.21468/scipostphyscore.7.2.027

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