论文标题
反映用于传达黑洞的熵i：karch-randall braneworlds
Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
论文作者
论文摘要
我们在$ bcft_2 $ s的有限温度下获得两个相邻间隔的两部分混合状态配置的反射熵，并通过在大中心充电限制中通过复制技术进行两个不同的边界。随后，这些野外理论结果是根据涉及两个Karch-Randall Branes截断的双BTZ黑洞几何形状中的纠缠楔形截面的大量计算复制的。我们的结果证实了在$ ads_3/bcft_2 $方案的上下文中，反射熵与散装纠缠楔横截面之间的全息二元性。我们进一步研究了反射的熵与这些配置的共同信息之间的全息马尔可夫差距的关键问题，并从散装的braneworld几何形状中研究了其与子系统大小和时间的变化。
We obtain the reflected entropy for bipartite mixed state configurations of two adjacent and disjoint intervals at a finite temperature in $BCFT_2$s with two distinct boundaries through a replica technique in the large central charge limit. Subsequently these field theory results are reproduced from bulk computations involving the entanglement wedge cross section in the dual BTZ black hole geometry truncated by two Karch-Randall branes. Our result confirms the holographic duality between the reflected entropy and the bulk entanglement wedge cross section in the context of the $AdS_3/BCFT_2$ scenario. We further investigate the critical issue of the holographic Markov gap between the reflected entropy and the mutual information for these configurations from the bulk braneworld geometry and study its variation with subsystem sizes and time.
