Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
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DOI：
10.1007/jhep09(2013)057
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发表时间：
2013-06
影响因子：
5.4
通讯作者：
Yong-Zhuang Li;Shao-Feng Wu;Yong-Qiang Wang;Guo-Hong Yang
中科院分区：
文献类型：
--
作者：
Yong-Zhuang Li;Shao-Feng Wu;Yong-Qiang Wang;Guo-Hong Yang
摘要我们研究均匀落壳背景下的全息纠缠熵，它与全局淬灭后的强耦合场论是对偶的。对于 d=2 共形场论，已知如果纠缠区域的规模很大，则熵具有线性增长状态。此外，当规模增大时，增长率趋近于常数。我们通过分析证明，这种行为与探测整体视层内部的最小面积表面部分以及边界中两个不相交的矩形子系统之间的互信息直接相关。此外，我们还用数值证明了所有结果对于d=3共形场论、非相对论尺度不变理论和高斯-邦尼引力对偶理论都是通用的。
A bstractWe study the holographic entanglement entropy in a homogeneous falling shell background, which is dual to the strongly coupled field theory following a global quench. For d=2 conformal field theories, it is known that the entropy has a linear growth regime if the scale of the entangling region is large. In addition, the growth rate approaches a constant when the scale increases. We demonstrate analytically that this behavior is directly related to the part of minimal area surface probing the interior of apparent horizons in the bulk, as well as the mutual information between two disjoint rectangular subsystems in the boundary. Furthermore, we show numerically that all the results are universal for the d=3 conformal field theory, the non-relativistic scale-invariant theory and the dual theory of Gauss-Bonnet gravity.