Falling toward charged black holes
Falling toward charged black holes
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DOI：
10.1103/physrevd.98.126016
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发表时间：
2018-12-28
影响因子：
5
通讯作者：
Zhao, Ying
中科院分区：
文献类型：
--
作者：
Brown, Adam R.;Gharibyan, Hrant;Zhao, Ying
算符“大小”的增长是量子混沌的一个重要诊断。Susskind推测全息对偶的大小与由算子产生的粒子动量的平均径向分量成正比。因此，黑洞背景中算子的增长与粒子落向视界时的加速度相对应。在本文中，我们将动量大小对应作为研究近极值带电黑洞场中的置乱的工具。与先前工作的一致提供了动量-大小关系的重要测试，以及对先前由Leichenauer发现的混乱的矛盾特征的解释。莱希纳尔的结果天真地说，只有非极值熵参与了混乱。同样的特征也存在于Sachdev-Ye-Kitaev （SYK）模型。在本文中，我们发现了对Leichenauer结果的一种完全不同的解释，这种解释与极端自由度的解耦无关。相反，它与粒子加速通过Reissner-Nordstrom几何的长喉时动量的积累有关。我们还推测，尺寸-动量关系的比例因子在喉部是不同的。该结果与SYK的直接计算结果一致。
The growth of the "size" of operators is an important diagnostic of quantum chaos. Susskind conjectured that the holographic dual of the size is proportional to the average radial component of the momentum of the particle created by the operator. Thus the growth of operators in the background of a black hole corresponds to the acceleration of the particle as it falls toward the horizon. In this paper we will use the momentum-size correspondence as a tool to study scrambling in the field of a near-extremal charged black hole. The agreement with previous work provides a nontrivial test of the momentum-size relation, as well as an explanation of a paradoxical feature of scrambling previously discovered by Leichenauer. Naively Leichenauer's result says that only the nonextremal entropy participates in scrambling. The same feature is also present in the Sachdev-Ye-Kitaev (SYK) model. In this paper we find a quite different interpretation of Leichenauer's result which does not have to do with any decoupling of the extremal degrees of freedom. Instead it has to do with the buildup of momentum as a particle accelerates through the long throat of the Reissner-Nordstrom geometry. We also conjecture that the proportionality factor in size-momentum relation varies through the throat. This result agrees with direct calculations in SYK.