论文标题
各向异性理论反射熵的全息研究
Holographic Study of Reflected Entropy in Anisotropic Theories
论文作者
论文摘要
我们使用全息图评估了某些各向异性边界理论对非同性几何形状双重的熵的反映熵。建议该数量与纠缠楔横截面的最小面积成正比。使用此处方，我们详细研究各向异性对反射熵和其他全息纠缠措施的影响。特别是，我们研究了该数量的不连续相变，用于由两个不连接条组成的对称配置。我们发现，在参数空间的特定方案中，临界分离是各向异性参数的增加函数，因此子区域之间的相关性变得更加明显。我们仔细研究了这些结果如何与其他相关措施（包括相互信息）的行为一致。最后，我们表明，根据纠缠区域相对于各向异性方向的方向，纠正了纠缠熵的通用术语的结构。
We evaluate reflected entropy in certain anisotropic boundary theories dual to nonrelativistic geometries using holography. It is proposed that this quantity is proportional to the minimal area of the entanglement wedge cross section. Using this prescription, we study in detail the effect of anisotropy on reflected entropy and other holographic entanglement measures. In particular, we study the discontinuous phase transition of this quantity for a symmetric configuration consisting of two disjoint strips. We find that in the specific regimes of the parameter space the critical separation is an increasing function of the anisotropy parameter and hence the correlation between the subregions becomes more pronounced. We carefully examine how these results are consistent with the behavior of other correlation measures including the mutual information. Finally, we show that the structure of the universal terms of entanglement entropy is corrected depending on the orientation of the entangling region with respect to the anisotropic direction.
