High-order cumulants in the counting statistics of asymmetric quantum dots

TL;DR

This paper investigates the counting statistics of electron tunneling in asymmetric quantum dots, analyzing high-order cumulants and their oscillations as a function of system symmetry, revealing underlying oscillatory behaviors.

Contribution

It introduces a detailed analysis of high-order cumulants in quantum dot counting statistics and links their oscillations to system symmetry variations.

Findings

High-order cumulants oscillate with system symmetry.

Oscillations in cumulants match time-dependent oscillations.

Symmetry variations lead to similar oscillatory responses.

Abstract

Measurements of single electron tunneling through a quantum dot using a quantum point contact as charge detector have been performed for very long time traces with very large event counts. This large statistical basis is used for a detailed examination of the counting statistics for varying symmetry of the quantum dot system. From the measured statistics we extract high order cumulants describing the distribution. Oscillations of the high order cumulants are observed when varying the symmetry. We compare this behavior to the observed oscillation in time dependence and show that the variation of both system variables lead to the same kind of oscillating response.