论文标题
手性对称性的多参数高斯合奏的光谱统计
Spectral statistics of multi-parametric Gaussian ensembles with chiral symmetry
论文作者
论文摘要
手性矩阵的统计数据具有不相关但多元高斯分布式元素的统计数据，预计将由许多参数驱动。但是，与直觉相反，我们的理论分析揭示了一个单个参数的存在，即所有集合参数的函数，该参数控制了光谱统计的动力学。该分析不仅扩展了与与之相似的Hermitian合奏的相似公式（称为复杂性参数公式），而且还揭示了具有似乎不同系统条件的手性复杂系统以及其他复杂系统的基本联系，例如。多参数Wishart合奏以及广义的Calogero Sutherland Hamiltonian（CSH）。
The statistics of chiral matrix ensembles with uncorrelated but multivariate Gaussian distributed elements is intuitively expected to be driven by many parameters. Contrary to intuition, however, our theoretical analysis reveals the existence of a single parameter, a function of all ensemble parameters, which governs the dynamics of spectral statistics. The analysis not only extends the similar formulation (known as complexity parameter formulation) for the Hermitian ensembles without chirality to those with it but also reveals the underlying connection between chiral complex systems with seemingly different system conditions as well as to other complex systems e.g. multi-parametric Wishart ensembles as well as generalized Calogero Sutherland Hamiltonian (CSH).
