发表机构
Stanford University; Leinweber Institute for Theoretical Physics, Stanford University; OpenAI（斯坦福大学; 斯坦福大学莱恩韦伯理论物理研究所; OpenAI）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
通过耦合SYK系统构建可解黑洞蒸发模型，在急速冻结转变后，利用算符大小和Renyi-2互信息追踪内落粒子信息，揭示其保存在非局域多体自由度中。
AI 中文摘要
穿过蒸发黑洞视界的信息会发生什么？我们引入一个由耦合的Sachdev-Ye-Kitaev系统构建的可解蒸发模型，在该模型中，一个初始双侧黑洞在有限时间内与一个更大、更冷的浴耦合。该模型中蒸发迅速，因此我们将此过程称为黑洞的“急速冻结”。在适当的大-N和大-p极限下，两点函数和某些四点探针可以解析计算。利用两点函数作为广义HKLL重构的输入，我们获得了蒸发过程的涌现体几何。随后，我们使用算符大小和Renyi-2互信息追踪一个内落粒子携带的信息，展示了在急速冻结转变后，信息如何保存在非局域多体自由度中。
英文摘要
What happens to information carried through an evaporating black-hole horizon? We introduce a solvable model of evaporation built from coupled Sachdev-Ye-Kitaev systems, in which an initially two-sided black hole is coupled at a finite time to a larger, colder bath. Evaporation is rapid in this model, so we refer to the process as ``blast freezing'' of a black hole. In an appropriate large-$N$ and large-$p$ limit, the two-point functions and certain four-point probes can be computed analytically. Using the two-point functions as input to a generalized HKLL reconstruction, we obtain the emergent bulk geometry of the evaporation process. We then track the information carried by an infalling particle using operator size and Renyi-2 mutual information, showing how it is preserved in nonlocal many-body degrees of freedom after the blast-freezing transition.
Comments45 pages, 6 figures
