Entanglement Entropy in a Holographic Moving Mirror and the Page Curve
Entanglement Entropy in a Holographic Moving Mirror and the Page Curve
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DOI：
10.1103/physrevlett.126.061604
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发表时间：
2021-02-12
影响因子：
8.6
通讯作者：
Wei, Zixia
中科院分区：
文献类型：
--
作者：
Akal, Ibrahim;Kusuki, Yuya;Wei, Zixia
计算了具有运动反射镜的二维共形场理论中纠缠熵的时间演化。对于霍金辐射模型，我们得到了纠缠熵的线性增长，并证明这可以解释为纠缠对的产生。对于模拟黑洞形成和蒸发的装置，我们发现其演化遵循理想的Page曲线。我们通过全息术构造动镜模型的引力对偶来实现这些计算。我们还认为，我们的全息装置提供了一个具体的模型来推导出在引力强耦合区域的黑洞辐射的Page曲线。
We calculate the time evolution of entanglement entropy in two-dimensional conformal field theory with a moving mirror. For a setup modeling Hawking radiation, we obtain a linear growth of entanglement entropy and show that this can be interpreted as the production of entangled pairs. For the setup, which mimics black hole formation and evaporation, we find that the evolution follows the ideal Page curve. We perform these computations by constructing the gravity dual of the moving mirror model via holography. We also argue that our holographic setup provides a concrete model to derive the Page curve for black hole radiation in the strong coupling regime of gravity.