Ehrenfest-time dependence of weak localization in open quantum dots

TL;DR

This paper confirms through numerical simulations that the Ehrenfest time suppresses weak localization in open quantum dots, challenging some existing theoretical models and providing insights into quantum chaos effects on conductance.

Contribution

The study provides numerical evidence supporting the Ehrenfest-time dependence of weak localization, contrasting with the predictions of the effective random matrix theory.

Findings

Ehrenfest time suppresses weak localization in quantum dots

Numerical results agree with semiclassical predictions

Results challenge the effective random matrix theory

Abstract

Semiclassical theory predicts that the weak localization correction to the conductance of a ballistic chaotic cavity is suppressed if the Ehrenfest time exceeds the dwell time in the cavity [I. L. Aleiner and A. I. Larkin, Phys. Rev. B {\bf 54}, 14424 (1996)]. We report numerical simulations of weak localization in the open quantum kicked rotator that confirm this prediction. Our results disagree with the `effective random matrix theory' of transport through ballistic chaotic cavities.