全息共形界面中的纠缠转变
Entanglement transitions in holographic conformal interfaces
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中文总结 AI 辅助
本文研究二维全息界面共形场论中不相交区间的纠缠转变，发现界面削弱跨界面关联但保持或增强同侧关联，并识别出普遍的Silver Blaze构型。
中文摘要 AI 辅助
我们研究了二维全息界面共形场论中两对不相交区间的纠缠转变。我们考虑了界面两侧具有相等中心电荷的若干全息模型：含有一和两条膜的薄壁几何、Janus解以及super-Janus解。我们首先讨论单个区间纠缠熵的有限界面贡献，区分跨越界面的区间与完全位于一侧的区间。然后，我们利用互信息来定位两个区间中连通与不连通的Ryu-Takayanagi测地线构型之间的转变。当界面位于两个区间之间时，增大边界熵$\log g$（在此处考虑的模型中提供界面强度的度量）通常会降低连通构型不再主导的临界分离距离。当两个区间位于界面的同一侧时，行为依赖于模型：在Janus和super-Janus模型中，连通相持续到更大的分离距离，而在薄壁模型中临界分离距离不变。因此，正如通过两区间转变所诊断的，界面削弱了跨界面的关联，同时保持或增强了同侧区域之间的关联。我们还识别出一个普遍的“Silver Blaze”构型，其中界面位于其中一个区间内部，且转变发生在与无界面CFT中相同的位置，独立于界面参数和全息模型。这种普遍性源于互信息中跨越与非跨越界面贡献之间的抵消。
英文摘要
We study entanglement transitions for pairs of disjoint intervals in two-dimensional holographic interface conformal field theories. We consider several holographic models with equal central charges on the two sides of the interface: thin-wall geometries with one and two branes, the Janus solution, and the super-Janus solution. We first discuss the finite interface contribution to the entanglement entropy of a single interval, distinguishing intervals that cross the interface from those that lie entirely on one side. We then use the mutual information to locate the transition between connected and disconnected Ryu--Takayanagi geodesic configurations for two intervals. When the interface lies between the two intervals, increasing the boundary entropy $\log g$, which provides a measure of interface strength in the models considered here, generally decreases the critical separation at which the connected configuration ceases to dominate. When both intervals lie on the same side of the interface, the behavior is model dependent: the connected phase persists to larger separations in the Janus and super-Janus models, while the critical separation is unchanged in the thin-wall models. Thus, as diagnosed by the two-interval transition, the interface weakens correlations across the interface while preserving or enhancing correlations between regions on the same side. We also identify a universal ``Silver Blaze'' configuration, in which the interface lies inside one of the intervals and the transition occurs at the same location as in a CFT without an interface, independently of the interface parameters and of the holographic model. This universality follows from a cancellation between crossing and non-crossing interface contributions to the mutual information.
发表机构
- Universidad de Oviedo（奥维耶多大学）
- Instituto de Ciencias y Tecnologías Espaciales de Asturias (ICTEA)（阿斯图里亚斯空间科学与技术研究所）
- Ben-Gurion University of the Negev（内盖夫本-古里安大学）
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