Subregion spectrum form factor via pseudoentropy
Subregion spectrum form factor via pseudoentropy
复制标题
通过伪熵的子区域谱形状因子
DOI：
10.1103/physrevd.104.l121902
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发表时间：
2021
影响因子：
5
通讯作者：
Tamaoka Kotaro
中科院分区：
文献类型：
--
作者：
Goto Kanato;Nozaki Masahiro;Tamaoka Kotaro
我们通过伪熵（简化转移矩阵的冯诺依曼熵）引入了光谱形状因子的子系统泛化。我们考虑二维共形场论中热场双态与其时间演化态之间的过渡矩阵，并研究单个区间的赝熵的时间依赖性。我们证明赝熵的实部的行为与谱形状因子类似；它从热熵开始，最初下降到最小值，然后开始增加，最后接近真空纠缠熵。我们还通过考虑紧凑空间的理论来研究其行为的理论依赖性。
We introduce a subsystem generalization of the spectral form factor via pseudoentropy, the von-Neumann entropy for the reduced transition matrix. We consider a transition matrix between the thermofield double state and its time-evolved state in two-dimensional conformal field theories, and study the time dependence of the pseudoentropy for a single interval. We show that the real part of the pseudoentropy behaves similarly to the spectral form factor; it starts from the thermal entropy, initially drops to the minimum, then it starts increasing, and then finally it approaches the vacuum entanglement entropy. We also study the theory dependence of its behavior by considering theories on a compact space.