What do phase space methods tell us about disordered quantum systems?

TL;DR

This paper explores how phase space representations like the Wigner and Husimi functions can provide insights into the behavior of disordered quantum systems, particularly through measures like the inverse participation ratio.

Contribution

It introduces phase space techniques to analyze disordered quantum systems, offering new perspectives on localization phenomena.

Findings

Phase space methods reveal localization properties in disordered systems.

Husimi functions effectively characterize quantum states in the Anderson model.

Inverse participation ratios in phase space correlate with disorder strength.

Abstract

Introduction Phase space methods in quantum mechanics - The Wigner function - The Husimi function - Inverse participation ratio Anderson model in phase space - Husimi functions - Inverse participation ratios