标题： 混合类型系统中的间距比 显示英文标题

标题： Spacing ratios in mixed-type systems

摘要： 连续能级间距比的分布现在被广泛用作区分可积与混沌量子谱的工具，主要是因为它避免了数值谱展开。 类似于使用Rosenzweig-Porter方法在混合型系统中获得能级间距的Berry-Robnik分布，在本工作中我们将此方法扩展以解析推导由独立可积块和混沌块组成的随机矩阵的间距比分布。 我们通过在典型模型如量子 kicked 旋转子和Hénon-Heiles系统中的随机矩阵理论数值验证了这一解析结果。 显示英文摘要

摘要： The distribution of the consecutive level-spacing ratio is now widely used as a tool to distinguish integrable from chaotic quantum spectra, mostly due to its avoiding of the numerical spectral unfolding. Similar to the use of the Rosenzweig-Porter approach to obtain the Berry-Robnik distribution of level-spacings in mixed-type systems, in this work we extend this approach to derive analytically the distribution of spacing ratios, for random matrices comprised of independent integrable blocks and chaotic blocks. We have numerically confirmed this analytical result using random matrix theory in paradigmatic models such as the quantum kicked rotor and the H\'enon-Heiles system.