论文标题
ADS/CFT中的粗粒纯状态
Coarse graining pure states in AdS/CFT
论文作者
论文摘要
我们在ADS(D+1)中构建了新的欧几里得虫孔解决方案,并讨论它们在UV-Complete Theories中的作用,而无需平均。几何形状被解释为GHz状纠缠状态的重叠,自然而然地由双CFT中纯状态的密度矩阵产生。在几个示例中,包括薄壳倒塌的黑洞和纯黑色孔,并在地平线后面具有世界末日的棕褐色,用CFT术语明确发现了粗粒度的地图,并用于定义一个粗粒熵,该熵等于四分之一的时间对称明显的表观水平。虫洞用于得出粗粒图和研究量子状态的统计特性。这重现了西海岸2D重力模型的各个方面,以及在具有通用物质字段的较高维度的情况下,包括页面曲线,包括页面曲线。
We construct new Euclidean wormhole solutions in AdS(d+1) and discuss their role in UV-complete theories, without ensemble averaging. The geometries are interpreted as overlaps of GHZ-like entangled states, which arise naturally from coarse graining the density matrix of a pure state in the dual CFT. In several examples, including thin-shell collapsing black holes and pure black holes with an end-of-the-world brane behind the horizon, the coarse-graining map is found explicitly in CFT terms, and used to define a coarse-grained entropy that is equal to one quarter the area of a time-symmetric apparent horizon. Wormholes are used to derive the coarse-graining map and to study statistical properties of the quantum state. This reproduces aspects of the West Coast model of 2D gravity and the large-c ensemble of 3D gravity, including a Page curve, in a higher-dimensional context with generic matter fields.