标题： 岛屿、双全息理论和纠缠膜 显示英文标题

标题： Islands, Double Holography, and the Entanglement Membrane

摘要： 量子极值岛规则使我们能够在半经典引力中计算霍金辐射的Page曲线。 在本工作中，我们研究这些计算与混沌量子多体系统热化之间的联系，使用一种称为纠缠膜的粗粒度纠缠动力学描述。 从一个双全息模型出发，即一个与平坦$d$维浴耦合的永恒二维渐近AdS$_d$($d>2$) 黑洞，我们表明，在晚期大子区域极限下，纠缠动力学由纠缠膜描述，从而在半经典引力和混沌量子多体系统计算Page曲线之间建立了定量等价。 显示英文摘要

摘要： The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. In this work, we study the connection between these calculations and the thermalisation of chaotic quantum many-body systems, using a coarse-grained description of entanglement dynamics known as the entanglement membrane. Starting from a double-holographic model of eternal two-sided asymptotically AdS$_d$ ($d>2$) black hole each coupled to a flat $d$-dimensional bath, we show that the entanglement dynamics in the late-time, large-subregion limit is described by entanglement membrane, thereby establishing a quantitative equivalence between a semi-classical gravity and a chaotic quantum many-body system calculation of the Page curve.