The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
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DOI：
10.1007/jhep12(2019)063
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发表时间：
2019-12-09
影响因子：
5.4
通讯作者：
Maxfield, Henry
中科院分区：
文献类型：
--
作者：
Almheiri, Ahmed;Engelhardt, Netta;Maxfield, Henry
体量子场常被认为只有在O(1)时才对广义熵A/4G(N)+S-体量有贡献。然而，在蒸发黑洞的背景下，S体相中的O(1/G(N))梯度可能是由于大的助推而产生的，从而引入了一个远离任何经典极值表面的量子极值表面。在一个简单的由Jackiw-Teitelboim引力定义的二维体系统中，我们研究了体量子效应对量子极值表面(QES)和由此产生的纠缠楔形的影响。打开一个边界和另一个用作散热器的外部辅助系统之间的耦合，允许一个原本永恒的两侧黑洞在一侧蒸发。从统一性的一般考虑，我们发现量子效率的广义熵表现出预期的行为，特别是进入的信息在跳跃时间β/2pi对数增量S+O(1)之后从纠缠楔形中消失，这与对海登-普雷斯基尔协议全息实现的期望一致。我们还发现了一个有趣的QES相变，可以称之为我们流程的页面时间。
Bulk quantum fields are often said to contribute to the generalized entropy A/4G(N) + S-bulk only at O(1). Nonetheless, in the context of evaporating black holes, O(1/G(N)) gradients in S-bulk can arise due to large boosts, introducing a quantum extremal surface far from any classical extremal surface. We examine the effect of such bulk quantum effects on quantum extremal surfaces (QESs) and the resulting entanglement wedge in a simple two-boundary 2d bulk system defined by Jackiw-Teitelboim gravity coupled to a 1+1 CFT. Turning on a coupling between one boundary and a further external auxiliary system which functions as a heat sink allows a two-sided otherwise-eternal black hole to evaporate on one side. We find the generalized entropy of the QES to behave as expected from general considerations of unitarity, and in particular that ingoing information disappears from the entanglement wedge after a scambling time beta/2 pi log Delta S + O(1) in accord with expectations for holographic implementations of the Hayden-Preskill protocol. We also find an interesting QES phase transition at what one might call the Page time for our process.