High cumulants in the counting statistics measured for a quantum dot

TL;DR

This paper presents high-order cumulant measurements of electron tunneling in a quantum dot using a quantum point contact, revealing detailed full counting statistics and demonstrating the ability to extract cumulants up to the 20th order.

Contribution

It introduces a method to measure and analyze high-order cumulants in quantum dot charge transfer, advancing the understanding of quantum transport statistics.

Findings

Successfully measured cumulants up to 20th order

Demonstrated high-quality data for full counting statistics

Identified individual tunneling events unambiguously

Abstract

We report on measurements of single electron tunneling through a quantum dot using a quantum point contact as non-invasive charge detector with fast time response. We elaborate on the unambiguous identification of individual tunneling events and determine the distribution of transferred charges, the so-called full counting statistics. We discuss our data analysis, including the error estimates of the measurement, and show that the quality of our experimental results is sufficiently high to extract cumulants of the distribution up to the 20th order for short times.