Measurements of higher order noise correlations in a quantum dot with a finite bandwidth detector

TL;DR

This paper measures higher order noise correlations in a quantum dot, accounting for detector bandwidth effects, and compares experimental results with theoretical models to understand charge transmission statistics.

Contribution

It introduces a finite-bandwidth model for full counting statistics and validates it against experimental measurements of higher order cumulants in a quantum dot.

Findings

Finite bandwidth affects measured noise statistics.

The finite-bandwidth model agrees well with experimental data.

Higher order cumulants provide detailed insights into charge transfer processes.

Abstract

We present measurements of the fourth and fifth cumulants of the distribution of transmitted charge in a tunable quantum dot. We investigate how the measured statistics is influenced by the finite bandwidth of the detector and by the finite measurement time. By including the detector when modeling the system, we use the theory of full counting statistics to calculate the noise levels for the combined system. The predictions of the finite-bandwidth model are in good agreement with measured data.