随机量子电路、混沌与量子热化
Random quantum circuits, chaos and quantum thermalization
AI总结：
该笔记为暑期学校授课配套内容，以随机矩阵理论为动机引入随机量子电路作为多体量子系统模型，通过系综平均计算相关物理量，研究算符扩散等问题。
AI中文摘要：
本笔记配套2025年6月在“第十六届统计物理基本问题”暑期学校的授课内容，简要介绍随机量子电路，将其作为一般多体量子系统的简单模型。从随机矩阵理论的思想出发，阐述引入这些模型的动机，还概述了基于系统系综平均计算部分最具物理意义的物理量的过程，这些量能为算符扩散、纠缠动力学和谱关联提供见解。
英文摘要：
These notes accompany lectures given in June 2025 at the summer school \emph{Fundamental Problems in Statistical Physics XVI}. They offer a short introduction to random quantum circuits as simple models for generic many-body quantum systems. They give an outline of the motivation for introducing these models, starting from ideas of random matrix theory. They also provide a sketch of calculations of some of the quantities of most physical interest, based on an average over an ensemble of systems. These quantities give insights into operator spreading, entanglement dynamics and spectral correlations.
