Local quenches, bulk entanglement entropy and a unitary Page curve
Local quenches, bulk entanglement entropy and a unitary Page curve
复制标题
DOI：
10.1007/jhep08(2020)152
复制
发表时间：
2020-04
影响因子：
5.4
通讯作者：
Cesar A. Agón;S. Lokhande;J. F. Pedraza
中科院分区：
文献类型：
--
作者：
Cesar A. Agón;S. Lokhande;J. F. Pedraza
对与动力学引力相互作用的物质场纠缠熵的量子修正在黑洞信息问题的研究中具有重要意义。我们考虑一个大规模的标量场的单粒子激发态落在一个纯AdS 3几何和计算这些修正锚定在AdS边界上的散装分区。在对偶CFT 2中，通过插入局部主算子及其此后的演化来给出状态。我们计算了AdS及其CFT对偶中的面积熵修正和体纠缠熵修正。这两个计算相匹配，从而提供了一个非平凡的检查的FLM公式在动态设置。此外，我们观察到体纠缠熵遵循Page曲线。我们解释了准确的意义上，我们的设置可以被解释为一个简单的模型的黑洞蒸发和评论的信息问题的影响。
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 orderboth 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.