Entwinement and the emergence of spacetime
Entwinement and the emergence of spacetime
复制标题
DOI：
10.1007/jhep01(2015)048
复制
发表时间：
2014-06
影响因子：
5.4
通讯作者：
V. Balasubramanian;Borun D. Chowdhury;Bartłlomiej Czech;J. Boer
中科院分区：
文献类型：
--
作者：
V. Balasubramanian;Borun D. Chowdhury;Bartłlomiej Czech;J. Boer
传统的量子场论是研究空间区域间的纠缠。然而，在某些系统中，纠缠可以由“内部”（可能是计量的）自由度主导，这些自由度在空间上没有组织，并且可以产生小于系统大小的间隙。在全息背景下，这样的小间隙与对偶时空中视界和奇点的出现有关。在这里，我们提出了一个缠绕的概念，这是为了捕捉这种精细结构的波函数。全息，纠缠探测纠缠阴影-时空的区域没有探测到的最小表面，计算空间纠缠在对偶场理论。我们认为最简单的例子，这个cadio-一个二维共形场理论（CFT），是对偶的一个圆锥形缺陷在AdS 3空间。根据我们以前的工作，我们表明，在CFT的空间纠缠再现时空几何到一个有限的距离从圆锥形的缺陷。然后，我们表明，内部几何形状的缺陷，可以重建纠缠，是敏感的离散计量，分馏自由度的CFT。纠缠在CFT与非最小测地线在圆锥形的缺陷的几何形状，这表明一个潜在的量子信息理论的意义，这些对象在全息上下文中。这些结果可能是相关的重建黑洞内部的对偶场理论。
It is conventional to study the entanglement between spatial regions of a quantum field theory. However, in some systems entanglement can be dominated by “internal”, possibly gauged, degrees of freedom that are not spatially organized, and that can give rise to gaps smaller than the inverse size of the system. In a holographic context, such small gaps are associated to the appearance of horizons and singularities in the dual spacetime. Here, we propose a concept of entwinement, which is intended to capture this fine structure of the wavefunction. Holographically, entwinement probes the entanglement shadow—the region of spacetime not probed by the minimal surfaces that compute spatial entanglement in the dual field theory. We consider the simplest example of this scenario—a 2d conformal field theory (CFT) that is dual to a conical defect in AdS 3 space. Following our previous work, we show that spatial entanglement in the CFT reproduces spacetime geometry up to a finite distance from the conical defect. We then show that the interior geometry up to the defect can be reconstructed from entwinement that is sensitive to the discretely gauged, fractionated degrees of freedom of the CFT. Entwinement in the CFT is related to non-minimal geodesics in the conical defect geometry, suggesting a potential quantum information theoretic meaning for these objects in a holographic context. These results may be relevant for the reconstruction of black hole interiors from a dual field theory.