Black holes, entanglement and random matrices
Black holes, entanglement and random matrices
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DOI：
10.1088/0264-9381/31/18/185009
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发表时间：
2014-09-21
影响因子：
3.5
通讯作者：
Simon, Joan
中科院分区：
文献类型：
--
作者：
Balasubramanian, Vijay;Berkooz, Micha;Simon, Joan
我们提供的证据表明，在AdS/CFT对应的背景下，Hilbert空间之间的强量子纠缠通常不会在相应的几何区域之间产生半经典虫洞。我们提出了一个描述的低能量重力探针作为随机运营商的空间黑洞的状态。我们使用这种描述来计算纠缠系统之间的相互作用，并认为虫洞只能存在，如果相关性很大。相反，我们也认为，大的相关性可以存在于明显缺乏洛伦兹虫洞。因此，如果没有探测算符的光谱特性信息，纠缠的强度一般不能诊断时空的连通性。我们的探针随机矩阵图也为“看到地平线后面”的问题提供了启发性的见解。
We provide evidence that strong quantum entanglement between Hilbert spaces does not generically create semiclassical wormholes between the corresponding geometric regions in the context of the AdS/CFT correspondence. We propose a description of low-energy gravity probes as random operators on the space of black hole states. We use this description to compute correlators between the entangled systems, and argue that a wormhole can only exist if correlations are large. Conversely, we also argue that large correlations can exist in the manifest absence of a Lorentzian wormhole. Thus the strength of the entanglement cannot generically diagnose spacetime connectedness, without information on the spectral properties of the probing operators. Our random matrix picture of probes also provides suggestive insights into the problem of 'seeing behind a horizon'.