Semiclassical matrix model for quantum chaotic transport with time-reversal symmetry

TL;DR

This paper introduces a matrix model that captures semiclassical quantum transport with time-reversal symmetry, providing a natural derivation of universal predictions consistent with random matrix theory.

Contribution

It develops a matrix integral framework for semiclassical chaotic transport with time-reversal symmetry, linking diagrammatic rules to matrix models.

Findings

Matrix model reproduces semiclassical transport statistics.

Derives universal predictions matching random matrix theory.

Provides a new analytical tool for quantum chaos studies.

Abstract

We show that the semiclassical approach to chaotic quantum transport in the presence of time-reversal symmetry can be described by a matrix model, i.e. a matrix integral whose perturbative expansion satisfies the semiclassical diagrammatic rules for the calculation of transport statistics. This approach leads very naturally to the semiclassical derivation of universal predictions from random matrix theory.