论文标题

纠缠负面性和极端表面

Entanglement Negativity and Defect Extremal Surface

论文作者

Shao, Yilu, Yuan, Ma-Ke, Zhou, Yang

论文摘要

我们研究了基于缺陷brane的全息模型蒸发黑洞的纠缠负态。我们引入了一个缺陷的极端表面公式,以实现纠缠消极。基于部分减少,我们显示了缺陷的极端表面公式与岛公式之间的等效性,用于广告中的纠缠负性$ _3 $/bcft $ _2 $。将研究扩展到永恒黑洞加上CFT浴的模型,我们发现黑色孔黑洞的负性降低了,直到消失,左黑孔左辐射消极始终是恒定的,辐射放射的负性增加,然后在时间晚于页面时间晚于时间饱和。在所有时间依赖的情况下,缺陷的极端表面配方与岛公式一致。

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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