论文标题
在2D CFT中伪内的实时演变
On the real-time evolution of pseudo-entropy in 2d CFTs
论文作者
论文摘要
在这项工作中，我们研究了二维形式的保形场理论（CFTS）中伪（rényi）熵的实时演变，纠缠熵的概括。我们专注于通过位于不同空间点或真空上的线性组合的作用主要运算符获得的状态。我们显示了伪（Rényi）熵和纠缠熵之间的相似性和差异。对于单个主要运算符的激发，我们分析了第二个伪里尼熵的行为，以各种限制，并找到与子系统和插入操作员的位置相关的一些对称性。为了通过线性组合进行激发，$ n $ th pseudo-rényi熵的晚期限制显示了一种与操作员组合和rényi熵系数相关的简单形式，可以通过使用schmidt分解来派生。此外，我们发现插入操作员的两种特定的空间配置在其中一个伪（rényi）熵在整个时间演化过程中保持真实。
In this work, we study the real-time evolution of pseudo-(Rényi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at different space points or their linear combinations on the vacuum. We show the similarities and differences between the pseudo-(Rényi) entropy and entanglement entropy. For excitation by a single primary operator, we analyze the behaviors of the 2nd pseudo-Rényi entropy in various limits and find some symmetries associated with the subsystem and the positions of the insertion operators. For excitation by linear combinations, the late time limit of the $n$th pseudo-Rényi entropy shows a simple form related to the coefficients of the combinations and Rényi entropy of the operators, which can be derived by using the Schmidt decomposition. Further, we find two kinds of particular spatial configurations of insertion operators in one of which the pseudo-(Rényi) entropy remains real throughout the time evolution.
