发表机构
Joint Institute for Nuclear Research; Universidade de São Paulo（俄罗斯联合核研究所; 圣保罗大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种普适的相关性指数度量，适用于量子与经典、平衡与非平衡统计系统，并通过多种物理系统示例展示其计算方法。
AI 中文摘要
提出了一种用于统计系统的相关性度量，称为相关性指数。该度量具有普适性，适用于量子与经典、平衡与非平衡统计系统。在阐述任意迹类算子的相关性指数的一般概念之后，通过密度算子和约化密度矩阵的几个示例说明了相关性指数的计算。平衡系统相关性指数的计算以具有玻色-爱因斯坦凝聚的玻色子系统、超导系统和自旋系统为例进行说明。非平衡系统的相关性指数则针对自旋和赝自旋系统的非线性动力学进行了考虑。
英文摘要
A measure of correlations for statistical systems is advanced, called correlation index. The measure is general, being applicable to quantum and classical, equilibrium and nonequilibrium statistical systems. After formulating the general notion of correlation indices for arbitrary trace-class operators, the calculation of the correlation indices are illustrated by several examples of density operators and reduced density matrices. The computation of the correlation indices for equilibrium systems is exemplified for bosonic systems with the Bose-Einstein condensate, superconducting systems, and for spin systems. Correlation indices for nonequilibrium systems are considered for nonlinear dynamics of spin and pseudospin systems.
Comments23 pages, 4 figures
Journal refJ. Stat. Phys. 193 (2026) 112
