AdS$_3$-Vaidya中的全息多部分纠缠动力学
Holographic multipartite entanglement dynamics in AdS$_3$-Vaidya
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中文总结 AI 辅助
本研究在AdS$_3$/CFT$_2全局淬火的全息热化中，用n部分信息、马尔可夫间隙等探针，揭示了多部分纠缠的动态重组规律，为理解全息纠缠演化提供了新结果。
中文摘要 AI 辅助
我们研究在AdS$_3$/CFT$_2的全局淬火后，全息热化过程中多部分纠缠如何动态重组。首先，我们使用n部分信息$(-1)^n I_n$探测全息构型中的集体多部分纠缠，该构型中完整的n区域纠缠楔是连通的，而所有更少粒子的区域均不连通，从而排除更少粒子的贡献。随着系统趋近于后期的局域热态，多部分纠缠的空间范围先扩展后收缩。涉及不同粒子数的纠缠在相当的早期尺度上发展，而涉及更多粒子的纠缠弛豫更慢，揭示了从较短空间距离到较长空间距离的瞬态传播。我们进一步计算马尔可夫间隙和真实三方多熵作为三方纠缠的互补探针。马尔可夫间隙在局域热化后可保持增强，而真实三方多熵经历非单调演化，对于本工作考虑的相邻三方划分，其会回到真空值。这些结果表明，全局淬火会在空间尺度上重新分布纠缠并重组其多部分结构。
英文摘要
We study how multipartite entanglement is dynamically reorganized during holographic thermalization following a global quench in AdS$_3$/CFT$_2$. We first use the $n$-partite information $(-1)^n I_n$ to probe collective multipartite entanglement in holographic configurations where the full $n$-region entanglement wedge is connected while all fewer-party ones are disconnected, thereby excluding fewer-party contributions. The spatial range of multipartite entanglement first expands and then contracts as the system approaches its late-time locally thermal state. Entanglement involving different numbers of parties develops on comparable early-time scales, while the entanglement that involves more parties relaxes more slowly, revealing a transient propagation from shorter to longer spatial distances. We further compute the Markov gap and the genuine tripartite multi-entropy as complementary probes of tripartite entanglement. The Markov gap can remain enhanced after local thermalization, whereas the genuine tripartite multi-entropy undergoes a nonmonotonic evolution and returns to its vacuum value for the adjacent tripartition considered in this work. These results show that a global quench redistributes the entanglement across spatial scales and reorganizes its multipartite structure.
