发表机构
Department of Physics, College of Sciences, Shanghai University（上海大学理学院物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文基于复制技巧计算量子相对熵，分析Jackiw-Teitelboim黑洞蒸发中霍金鞍与复制虫洞鞍的相对熵代价变化，发现二者差值符号在佩奇时间反转，从而将佩奇转变解释为半经典描述间相对熵流的转变。
AI 中文摘要
我们基于复制技巧开发了一个用于量子相对熵的计算框架，并将其应用于分析Jackiw-Teitelboim黑洞的蒸发过程。我们证明了精确辐射态与霍金鞍态以及复制虫洞鞍态之间的相对熵，量化了粗粒化半经典描述所固有的信息论代价。在蒸发过程中，霍金鞍的相对熵单调增加，反映出维持霍金描述的热力学代价逐渐升高。相反，与复制虫洞鞍相关的相对熵则减小，表明连通几何的描述变得越来越精确。此外，这两个量之差的符号恰好在佩奇时间发生反转，为竞争性引力鞍之间的转变提供了一种信息论诊断。我们的结果将佩奇转变重新表述为竞争性半经典描述之间相对熵代价的流动，揭示了粗粒化黑洞蒸发中有效不可逆性出现背后的信息论结构。
英文摘要
We develop a computational framework for the quantum relative entropy based on the replica trick and apply it to analyze the evaporation process method of Jackiw-Teitelboim black holes. We show that the relative entropies between the exact radiation state and the Hawking saddle state and the replica wormholes saddle state quantify information-theoretic costs inherent to coarse-grained semiclassical descriptions. During evaporation, the relative entropy for the Hawking saddle increases monotonically, reflecting a progressively higher thermodynamic cost of sustaining the Hawking description. Conversely, the relative entropy associated with the replica wormholes saddle decreases, which indicates that the description of connected geometries becomes progressively more accurate. Moreover, the sign of the difference between the two quantities reverses precisely at the Page time, providing an information-theoretic diagnosis for the transition between competing gravitational saddles. Our results recast the Page transition as a flow of relative entropy costs between competing semi-classical descriptions, revealing an information-theoretic structure underlying the emergence of effective irreversibility in coarse-grained black hole evaporation.
Comments11 pages, many figures
