Island finder and entropy bound
Island finder and entropy bound
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DOI：
10.1103/physrevd.103.106005
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发表时间：
2021-01
影响因子：
5
通讯作者：
R. Bousso;Arvin Shahbazi-Moghaddam
中科院分区：
文献类型：
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作者：
R. Bousso;Arvin Shahbazi-Moghaddam
识别纠缠岛需要对量子场熵的精确控制，这只能在玩具模型中实现。在这里，我们提出了一组充分的条件，保证存在一个岛，并放置上界的熵计算的岛屿规则。这足以推导出任何时空维中蒸发黑洞的佩奇曲线的主要特征。我们的论证利用了沃尔的极大极小公式和量子聚焦猜想。作为推论，我们得到一个新的熵界。
: Identifying an entanglement island requires exquisite control over the entropy of quantum fields, which is available only in toy models. Here we present a set of sufficient conditions that guarantee the existence of an island and place an upper bound on the entropy computed by the island rule. This is enough to derive the main features of the Page curve for an evaporating black hole in any spacetime dimension. Our argument makes use of Wall’s maximin formulation and the Quantum Focusing Conjecture. As a corollary, we derive a novel entropy bound.