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Non-local entanglement and fast scrambling in de-Sitter holography
Annals of Physics ( IF 3.0 ) Pub Date : 2021-01-15 , DOI: 10.1016/j.aop.2021.168402
Hao Geng

We study holographic entanglement and information scrambling in de-Sitter (dS) space in the context of the DS/dS correspondence. We find that our previously identified non-local entanglement structure of dS vacua can be extended out of the time-reflection symmetric slice. We extend the geometry to a two-sided configuration and calculate the zero-time mutual information between two intervals on different sides when there is a localized shock wave in the bulk. Interestingly, we find that the information scrambling time saturates the fast scrambler bound proposed by Sekino and Susskind and that the shock wave renders a wormhole to be traversable. Furthermore, we calculate a two-sided out-of-time-ordered correlator (OTOC) in the late time regime and we see that, before scrambling, it exponentially grows with an exponent whose value saturates the maximal bound of chaos proposed by Maldacena, Shenker and Stanford. At the end, we provide an explanation why the exponential growing of the late-time OTOC with the maximal bound of chaos saturated and the traversability of the wormhole are simple results of the non-local entanglement structure and we point out that this is a realization of the ER=EPR proposal.



中文翻译:

De-Sitter全息术中的非局部纠缠和快速加扰

我们在DS / dS对应关系的背景下研究de-Sitter(dS)空间中的全息纠缠和信息加扰。我们发现,我们先前确定的dS vacua的非局部纠缠结构可以扩展到时间反射对称切片之外。我们将几何结构扩展为两侧配置,并在主体中存在局部冲击波时,计算不同侧上两个间隔之间的零时互信息。有趣的是,我们发现信息加扰时间使Sekino和Susskind提出的快速加扰器边界饱和,并且冲击波使虫洞变得可遍历。此外,我们在较晚的时间范围内计算了一个两面失序的相关器(OTOC),我们发现在加扰之前,它随指数的增长而增长,该指数的值使Maldacena,Shenker和Stanford提出的最大混沌极限达到饱和。最后,我们提供了一个解释,说明为什么晚期OTOC的指数增长具有最大的混沌饱和边界和虫洞的可穿越性是非局部纠缠结构的简单结果,并且我们指出这是一个实现ER = EPR提案。

更新日期:2021-01-28
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