论文标题
相互信息在页面曲线中的作用
The role of mutual information in the Page curve
论文作者
论文摘要
在这项工作中，我们提出了两项有关纠缠楔子的连通性状态以及相关信息的饱和度的建议。第一个建议是针对页面时间之前的场景提出的，描绘了一个事实，即观察者时间的特定值$ t_b = t_r $（其中$ t_r \llβ$），共同信息$ i（r _+：r _---）$ i（r _+：r _--）消失了代表辐射阶段的阶段阶段的阶段。我们认为这次是Hartman-Maldacena的时间，辐射的细粒熵呈$ s（r）\ sim \ log（β）$，其中$β$是黑洞鹰孔温度的倒数。另一方面，第二个提案探讨了黑洞子系统在获得正确的辐射页面曲线中的相互信息所起的关键作用。
In this work, we give two proposals regarding the status of connectivity of entanglement wedges and the associated saturation of mutual information. The first proposal has been given for the scenario before the Page time depicting the fact that at a particular value of the observer's time $t_b=t_R$ (where $t_R\llβ$), the mutual information $I(R_+:R_-)$ vanishes representing the disconnected phase of the radiation entanglement wedge. We argue that this time is the Hartman-Maldacena time at which the fine-grained entropy of radiation goes as $S(R)\sim \log(β)$, where $β$ is the inverse of Hawking temperature of the black hole. On the other hand, the second proposal probes the crucial role played by the mutual information of black hole subsystems in obtaining the correct Page curve of radiation.
