标题： 纠缠偏 negativity 和缺陷极值面 显示英文标题

标题： Entanglement Negativity and Defect Extremal Surface

摘要： 我们基于带有缺陷膜的全息模型研究蒸发黑洞的纠缠偏度。 我们引入了用于纠缠偏度的缺陷极值面公式。 基于部分约化，我们展示了在AdS$_3$/BCFT$_2$中，缺陷极值面公式与岛屿公式在纠缠偏度上的等价性。 将研究扩展到永恒黑洞加上CFT浴的模型，我们发现黑洞-黑洞偏度会减少直至消失，左黑洞-左辐射偏度始终是一个常数，辐射-辐射偏度会增加并在Page时间之后的一个时间点达到饱和。 在所有时间相关的案例中，缺陷极值面公式与岛屿公式一致。 显示英文摘要

摘要： 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.