Entanglement islands in higher dimensions
Entanglement islands in higher dimensions
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DOI：
10.21468/scipostphys.9.1.001
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发表时间：
2019-11
期刊：
影响因子：
5.5
通讯作者：
Ahmed Almheiri;R. Mahajan;Jorge E Santos
中科院分区：
文献类型：
--
作者：
Ahmed Almheiri;R. Mahajan;Jorge E Santos
最近的工作表明，霍金辐射的佩奇曲线可以通过半经典引力的计算来恢复，前提是允许在与引力耦合的量子系统的引力区域中存在“岛屿”。到目前为止，显式计算仅限于二维 Jackiw-Teitelboim 引力中的黑洞。在这篇文章中，我们用数值方法构造了一个五维渐近 AdS 其边界在与浴平衡的永恒 AdS 黑洞上实现四维哈特尔-霍金态的几何体。我们还在数值上发现了两种类型的极值表面：对应于有或没有岛屿的极值表面。在这个设置中存在涉及永恒黑洞的信息悖论的版本，并且通过岛屿的存在来避免它。因此，最近的计算显示了二维重力中的岛屿 也推广到更高的维度。
It has been suggested in recent work that the Page curve of Hawking radiation can be recovered using computations in semi-classical gravity provided one allows for ``islands" in the gravity region of quantum systems coupled to gravity. The explicit computations so far have been restricted to black holes in two-dimensional Jackiw-Teitelboim gravity. In this note, we numerically construct a five-dimensional asymptotically AdS geometry whose boundary realizes a four-dimensional Hartle-Hawking state on an eternal AdS black hole in equilibrium with a bath. We also numerically find two types of extremal surfaces: ones that correspond to having or not having an island. The version of the information paradox involving the eternal black hole exists in this setup, and it is avoided by the presence of islands. Thus, recent computations exhibiting islands in two-dimensional gravity generalize to higher dimensions as well.