论文标题
可观察到的集成系统特征状态中观测值的统计属性的统计特性
Statistical properties of the off-diagonal matrix elements of observables in eigenstates of integrable systems
论文作者
论文摘要
我们研究了可观察到的量子系统能量特征状态中可观察到的异构矩阵元素的统计特性。已经发现它们在Spin-1/2 XXZ链中是密度的，而在非互动系统中它们很少。我们专注于在一个维度上对硬核玻色子的准疗法占用，并表明在存在和不存在转化不变性的情况下，在存在的情况下，在存在的情况下，普遍化的伽马分布分布很好地描述了非对角基矩阵元件的分布。我们还表明，在自旋1/2 XXZ模型中可观察到的异构矩阵元素获得的结果通过广义伽马分布很好地描述。
We study the statistical properties of the off-diagonal matrix elements of observables in the energy eigenstates of integrable quantum systems. They have been found to be dense in the spin-1/2 XXZ chain, while they are sparse in noninteracting systems. We focus on the quasimomentum occupation of hard-core bosons in one dimension, and show that the distributions of the off-diagonal matrix elements are well described by generalized Gamma distributions, in both the presence and absence of translational invariance but not in the presence of localization. We also show that the results obtained for the off-diagonal matrix elements of observables in the spin-1/2 XXZ model are well described by a generalized Gamma distribution.
