Accuracy of the quantum capacitor as a single-electron source

TL;DR

This paper analyzes a quantum capacitor's ability to reliably emit single electrons, providing analytical insights into its noise spectrum and emission accuracy, with implications for future experimental validation.

Contribution

It presents an analytical model of a quantum capacitor, revealing conditions for near-perfect single-electron emission accuracy.

Findings

Failure rate can be made arbitrarily small under optimal conditions

Analytical expressions for noise spectrum and counting statistics

Predictions can be tested in future experiments

Abstract

A periodically driven quantum capacitor may function as an on-demand single electron source as it has recently been demonstrated experimentally. However, the accuracy at which single electrons are emitted is not yet understood. Here we consider a conceptually simple model of a quantum capacitor and find analytically the noise spectrum as well as the counting statistics of emitted electrons. We find that the failure rate of the capacitor can be arbitrarily small when operated under favorable conditions. Our theoretical predictions may be tested in future experiments.