Entanglement phase structure of a holographic BCFT in a black hole background
Entanglement phase structure of a holographic BCFT in a black hole background
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DOI：
10.1007/jhep05(2022)153
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发表时间：
2021-12
影响因子：
5.4
通讯作者：
H. Geng;A. Karch;Carlos Perez-Pardavila;S. Raju;L. Randall;Marcos Riojas;Sanjit Shashi
中科院分区：
文献类型：
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作者：
H. Geng;A. Karch;Carlos Perez-Pardavila;S. Raju;L. Randall;Marcos Riojas;Sanjit Shashi
我们计算全息纠缠熵的子区域的BCFT热状态生活在一个非引力黑洞的背景。我们考虑的系统是双全息的，对偶于一个嵌入了一个由角度参数化的Karch-Randall膜的永恒黑弦。传统上认为纠缠岛会在较晚的时候出现，以在有限温度下保持幺正性，但最近在零温度下的计算表明，当膜位于临界角以下时，这种岛不存在。当在有限温度下研究黑弦时，我们发现即使膜位于临界角以下，岛也存在。我们注意到，虽然这些岛屿存在时，他们需要保持幺正性，他们被限制在一个有限的连接区域的膜，我们称之为环礁。依赖于两个参数-子区域的大小和膜的角度-纠缠熵要么保持恒定的时间或遵循佩奇曲线。我们讨论这种丰富的相结构的背景下，散装重建。
We compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. The system we consider is doubly holographic and dual to an eternal black string with an embedded Karch-Randall brane that is parameterized by its angle. Entanglement islands are conventionally expected to emerge at late times to preserve unitarity at finite temperature, but recent calculations at zero temperature have shown such islands do not exist when the brane lies below a critical angle. When working at finite temperature in the context of a black string, we find that islands exist even when the brane lies below the critical angle. We note that although these islands exist when they are needed to preserve unitarity, they are restricted to a finite connected region on the brane which we call the atoll. Depending on two parameters—the size of the subregion and the brane angle—the entanglement entropy either remains constant in time or follows a Page curve. We discuss this rich phase structure in the context of bulk reconstruction.