Akal Ibrahim, Kusuki Yuya, Shiba Noburo, Takayanagi Tadashi, Wei Zixia
Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.
Inamori Research Institute for Science, 620 Suiginya-cho, Shimogyo-ku, Kyoto 600-8411, Japan.
Phys Rev Lett. 2021 Feb 12;126(6):061604. doi: 10.1103/PhysRevLett.126.061604.
We calculate the time evolution of entanglement entropy in two-dimensional conformal field theory with a moving mirror. For a setup modeling Hawking radiation, we obtain a linear growth of entanglement entropy and show that this can be interpreted as the production of entangled pairs. For the setup, which mimics black hole formation and evaporation, we find that the evolution follows the ideal Page curve. We perform these computations by constructing the gravity dual of the moving mirror model via holography. We also argue that our holographic setup provides a concrete model to derive the Page curve for black hole radiation in the strong coupling regime of gravity.
我们计算了具有移动镜的二维共形场论中纠缠熵的时间演化。对于模拟霍金辐射的设置，我们得到了纠缠熵的线性增长，并表明这可以解释为纠缠对的产生。对于模拟黑洞形成和蒸发的设置，我们发现其演化遵循理想的佩奇曲线。我们通过全息术构建移动镜模型的引力对偶来进行这些计算。我们还认为，我们的全息设置提供了一个具体模型，用于在引力的强耦合 regime 中推导黑洞辐射的佩奇曲线。
