Dynamical model for the quantum-to-classical crossover of shot noise

TL;DR

This paper models the transition from quantum to classical behavior in shot noise within chaotic quantum dots using the open kicked rotator, demonstrating exponential noise suppression related to Ehrenfest and dwell times.

Contribution

It introduces a combined quantum and semiclassical analysis of shot noise crossover in chaotic systems using the open kicked rotator model.

Findings

Noise power decreases exponentially with Ehrenfest-to-dwell time ratio.

Quantum and semiclassical results agree on noise suppression behavior.

Analytical predictions are confirmed numerically.

Abstract

We use the open kicked rotator to model the chaotic scattering in a ballistic quantum dot coupled by two point contacts to electron reservoirs. By calculating the system-size-over-wave-length dependence of the shot noise power we study the crossover from wave to particle dynamics. Both a fully quantum mechanical and a semiclassical calculation are presented. We find numerically in both approaches that the noise power is reduced exponentially with the ratio of Ehrenfest time and dwell time, in agreement with analytical predictions.