BCFT中纠缠岛的轮廓成形
Shaping contours of entanglement islands in BCFT
摘要：
本文利用纠缠熵-纠缠轮廓的空间分辨准局域扩展，研究了全息二维共形场论（BCFT）中纠缠的精细结构.我们发现，边界诱导的轮廓揭示隐藏的局域化-离域模式的纠缠自由度的不连续性。此外，我们观察到的“岛屿”的形成，其中的纠缠轮廓消失相同，这意味着这些地区没有贡献的纠缠在所有。我们认为，这些现象是最近在文献中讨论的纠缠岛的表现。我们将纠缠轮廓方案应用于最近提出的再现Page曲线移动镜模型的BCFT黑洞模型和热场双态下的BCFT对。从纠缠轮廓的角度来看，Page曲线也带有由动力学纠缠岛引起的强离域的印记。
英文摘要：
In this paper, we study the fine structure of entanglement in holographic two-dimensional boundary conformal field theories (BCFT) in terms of the spatially resolved quasilocal extension of entanglement entropy - entanglement contour. We find that the boundary induces discontinuities in the contour revealing hidden localization-delocalization patterns of entanglement degrees of freedom. Moreover, we observe the formation of ``islands'' where the entanglement contour vanishes identically implying that these regions do not contribute to the entanglement at all. We argue that these phenomena are the manifestation of entanglement islands discussed recently in the literature. We apply the entanglement contour proposal to the recently proposed BCFT black hole models reproducing the Page curve - moving mirror model and the pair of BCFT in the thermofield double state. From the viewpoint of entanglement contour, the Page curve also carries the imprint of strong delocalization caused by dynamical entanglement islands.
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