论文标题
手性布朗合奏的光谱和力量统计
Spectral and Strength Statistics of Chiral Brownian Ensemble
论文作者
论文摘要
多参数手性随机矩阵集合是分析具有手性对称性的通用复杂系统的统计行为的重要工具。前者的最新研究\ cite {psmulti}将它们映射到手性的布朗尼合奏（CH-BE），该合奏似乎是两个固定的手性遗产杂物之间单个参数交叉的非平衡状态。这促使我们对CH-BE的光谱和强度波动进行详细的统计研究，重点是它们在零能量区域附近的行为。然后，该信息可用于具有手性对称性的各种复杂系统。我们的分析还揭示了CH-BE与广义Calogero Sutherland Hamiltonian（CSH）和Wishart合奏的联系。这与已知的复杂系统的连接无手性与CSH的强烈暗示，这暗示了后来的“骨干”汉密尔顿，负责复杂系统的光谱动力学。
Multi-parametric chiral random matrix ensembles are important tools to analyze the statistical behavior of generic complex systems with chiral symmetry. A recent study \cite{psmulti} of the former maps them to the chiral Brownian ensemble (Ch-BE) that appears as a non-equilibrium state of a single parametric crossover between two stationary chiral Hermitian ensembles. This motivates us to pursue a detailed statistical investigation of the spectral and strength fluctuations of the Ch-BE, with a focus on their behavior near zero energy region. The information can then be used for a wide range of complex systems with chiral symmetry. Our analysis also reveals connections of Ch-BE to generalized Calogero Sutherland Hamiltonian (CSH) and Wishart ensembles. This along with already known connections of complex systems without chirality to CSH strongly hints the later to be the "backbone" Hamiltonian governing the spectral dynamics of Complex systems.
