论文标题
局部淬火，散装纠缠熵和统一页面曲线
Local quenches, bulk entanglement entropy and a unitary Page curve
论文作者
论文摘要
事实证明，对与动态重力相互作用的物质场纠缠熵的量子校正在研究黑洞信息问题的研究中非常重要。我们考虑纯ADS $ _3 $几何形状中的巨大标量场的单粒子激发态，并计算锚定在ADS边界上的散装子区域的这些校正。在双CFT $ _2 $中，该状态是由当地主要操作员及其后进化的插入给出的。我们在ADS和其CFT dual中计算$ \ Mathcal {o}（n^0）$的订单$ \ Mathcal {O}（n^0）$的区域和批量纠缠熵校正。这两个计算匹配，因此在动态设置中对FLM公式进行了非平凡检查。此外，我们观察到散装纠缠熵遵循页面曲线。我们解释了我们的设置可以解释为黑洞蒸发的简单模型的确切意义，并评论对信息问题的影响。
Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS$_3$ geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT$_2$, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order $\mathcal{O}(N^0)$, both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem.
