论文标题
通过伪热的伪熵的可构造现实状况
Constructible reality condition of pseudo entropy via pseudo-Hermiticity
论文作者
论文摘要
作为纠缠熵的概括，伪熵并不总是真实的。实值伪熵在全息和量子相变中具有有希望的应用。我们应用伪激素的概念来制定伪熵的现实状况。我们发现了过渡矩阵的一般形式，其降低过渡基质的特征值具有真实或复杂的特征对。此外，我们构建了一类过渡矩阵，伪（rényi）熵是非负的。可以在我们的框架中解释一些已知的示例，这些示例在量子场理论中提供了真正的伪熵。我们的结果提供了一种新的方法，可以生成具有真实伪熵的过渡矩阵。最后，我们显示了伪熵的现实状况与量子场理论的tomita-takesaki模块化理论有关。
As a generalization of entanglement entropy, pseudo entropy is not always real. The real-valued pseudo entropy has promising applications in holography and quantum phase transition. We apply the notion of pseudo-Hermticity to formulate the reality condition of pseudo entropy. We find the general form of the transition matrix for which the eigenvalues of the reduced transition matrix possess real or complex pairs of eigenvalues. Further, we construct a class of transition matrices for which the pseudo (Rényi) entropies are non-negative. Some known examples which give real pseudo entropy in quantum field theories can be explained in our framework. Our results offer a novel method to generate the transition matrix with real pseudo entropy. Finally, we show the reality condition for pseudo entropy is related to the Tomita-Takesaki modular theory for quantum field theory.
