Weak localization of the open kicked rotator

TL;DR

This paper numerically investigates weak localization in a chaotic quantum dot model, showing the peak's magnitude aligns with random-matrix theory and its width depends on classical dynamics characterized by level curvature.

Contribution

It demonstrates that the weak localization peak's width can be explained by a single classical parameter, linking quantum and classical properties.

Findings

Peak magnitude matches random-matrix theory predictions.

Peak width depends on classical dynamics and level curvature.

Numerical results support theoretical models.

Abstract

We present a numerical calculation of the weak localization peak in the magnetoconductance for a stroboscopic model of a chaotic quantum dot. The magnitude of the peak is close to the universal prediction of random-matrix theory. The width depends on the classical dynamics, but this dependence can be accounted for by a single parameter: the level curvature around zero magnetic field of the closed system.