黑洞量子大气中量子虚数性的演化
Evolution of quantum imaginarity in black hole quantum atmosphere
- School of Mathematics and Statistics, Hainan Normal University（海南师范大学数学与统计学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究探讨静态史瓦西黑洞量子大气中狄拉克场的量子虚数性演化，发现霍金辐射调制三种虚数性度量，且哈特尔-霍金常数增强重分布，视界半径削弱之。
AI中文摘要：
量子虚数性作为量化量子态中固有非实相干性的关键资源度量，在弯曲时空背景下表现出非平凡的演化行为。本研究聚焦于静态史瓦西黑洞量子大气中的二分狄拉克场约化态，旨在探索霍金热辐射对三种主流虚数性度量的调制作用。我们揭示了相对熵虚数性、几何虚数性以及虚数性鲁棒性：完全可访问态呈现谷状径向分布，在量子大气内部存在局部最小值，而交叉耦合态和完全不可访问态则呈现相反的峰状趋势。进一步分析表明，哈特尔-霍金常数显著增强了虚数性在两个区域间的重新分布效应，而事件视界半径的增加则削弱了这种重新分布并使极值特征趋于平缓。这些发现为解码黑洞量子大气的信息结构以及霍金辐射的内在量子本质提供了新视角。
英文摘要：
Quantum imaginarity, as a critical resource metric for quantifying intrinsic nonreal coherence encoded in quantum states, exhibits nontrivial evolutionary behaviors in curved spacetime backgrounds. This work focuses on bipartite Dirac field reduced states in the quantum atmosphere of a static Schwarzschild black hole, aiming to explore the modulation of three mainstream imaginarity measures by Hawking thermal radiation. We reveal that the relative-entropy imaginarity, the geometric imaginarity and robustness of imaginarity, the fully accessible state presents a valley-shaped radial profile with a local minimum inside the quantum atmosphere, while the cross-coupling and fully inaccessible states follow opposite peak-shaped trends. Further analysis demonstrates that the Hartle-Hawking constant significantly strengthens the redistribution effect of imaginarity across both regions, whereas an increase in the event horizon radius weakens such redistribution and flattens the extremum features. These findings offer a new perspective for decoding the information structure of black hole quantum atmospheres and the intrinsic quantum nature of Hawking radiation.
