论文标题
希尔伯特过渡概率的平均空间
Hilbert space average of transition probabilities
论文作者
论文摘要
典型的方法和希尔伯特空间平均方法作为其技术表现是量子统计力学的重要概念。广泛用于期望值我们将其扩展到过渡概率。在这种情况下，我们还发现两个随机分布状态的过渡概率与所考虑的操作员的光谱统计相关。此外，在我们的方法中，我们能够考虑并非正交的状态之间矩阵元素的分布。我们将在可集成的RESP中的踢旋转链中以数值为单位证明我们的一般结果。混沌政权。
The typicality approach and the Hilbert space averaging method as its technical manifestation are important concepts of quantum statistical mechanics. Extensively used for expectation values we extend them in this paper to transition probabilities. In this context we also find that the transition probability of two random uniformly distributed states is connected to the spectral statistics of the considered operator. Furthermore, within our approach we are capable to consider distributions of matrix elements between states, that are not orthogonal. We will demonstrate our quite general result numerically for a kicked spin chain in the integrable resp. chaotic regime.
