标题： 威格纳时间延迟及相关概念——在相干导体中的传输应用 显示英文标题

标题： Wigner time delay and related concepts -- Application to transport in coherent conductors

摘要： Wigner时间延迟和Wigner-Smith矩阵的概念允许表征量子散射过程的时间方面。 文章回顾了无序系统中Wigner时间延迟的统计性质；讨论了1D中存在手性对称性的情况，并强调了与布朗运动指数泛函之间的关系。 分析时间延迟统计性的另一种方法是随机矩阵方法，我们从其中回顾了一些结果。 作为实际说明，我们简要概述了Büttiker及其同事开发的非线性输运和交流输运理论，其中Wigner-Smith时间延迟矩阵是一个核心概念，用于描述非平衡相干导体中的屏蔽特性。 显示英文摘要

摘要： The concepts of Wigner time delay and Wigner-Smith matrix allow to characterize temporal aspects of a quantum scattering process. The article reviews the statistical properties of the Wigner time delay for disordered systems; the case of disorder in 1D with a chiral symmetry is discussed and the relation with exponential functionals of the Brownian motion underlined. Another approach for the analysis of time delay statistics is the random matrix approach, from which we review few results. As a pratical illustration, we briefly outline a theory of nonlinear transport and AC transport developed by B\"uttiker and coworkers, where the concept of Wigner-Smith time delay matrix is a central piece allowing to describe screening properties in out-of-equilibrium coherent conductors.