论文标题
JT重力中蒸发黑洞的鹰辐射相关
Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity
论文作者
论文摘要
我们考虑通过在JT重力中蒸发的黑洞发出的鹰辐射，并在缓慢的蒸发极限下计算辐射的任意子集的熵，并找到可能的岛屿鞍座的动物园。鹰辐射显示出长范围相关性。我们计算早期和晚期模式之间的相互信息，并从它们的壁板纠缠下方束缚。显示了一小部分后期模式与先前发射的辐射的合适子集以及后来的模式相关。我们展示了如何以违反Araki-Lieb三角熵不等式的形式对半古典近似的分解，如果黑洞的内部和辐射被认为是独立的系统。最后，我们考虑必须收集多少辐射，以及在蒸发时将信息恢复到黑洞中的早期。
We consider the Hawking radiation emitted by an evaporating black hole in JT gravity and compute the entropy of arbitrary subsets of the radiation in the slow evaporation limit, and find a zoo of possible island saddles. The Hawking radiation is shown to have long range correlations. We compute the mutual information between early and late modes and bound from below their squashed entanglement. A small subset of late modes are shown to be correlated with modes in a suitably large subset of the radiation previously emitted as well as later modes. We show how there is a breakdown of the semi-classical approximation in the form of a violation of the Araki-Lieb triangle entropy inequality, if the interior of the black hole and the radiation are considered to be separate systems. Finally, we consider how much of the radiation must be collected, and how early, to recover information thrown into the black hole as it evaporates.
