Electron waiting times for the mesoscopic capacitor

TL;DR

This paper analyzes the distribution of electron waiting times emitted by a driven mesoscopic capacitor, providing analytic and quantum-based results that enhance understanding of electronic emissions in quantum devices.

Contribution

It introduces analytic expressions for waiting time distributions and compares semi-classical and quantum approaches in mesoscopic electron emission.

Findings

Good agreement between semi-classical and quantum results in certain regimes

Provides an intuitive understanding of electron emissions from mesoscopic capacitors

Results can be tested in future experiments

Abstract

We evaluate the distribution of waiting times between electrons emitted by a driven mesoscopic capacitor. Based on a wave packet approach we obtain analytic expressions for the electronic waiting time distribution and the joint distribution of subsequent waiting times. These semi-classical results are compared to a full quantum treatment based on Floquet scattering theory and good agreement is found in the appropriate parameter ranges. Our results provide an intuitive picture of the electronic emissions from the driven mesoscopic capacitor and may be tested in future experiments.