Interference effects in the counting statistics of electron transfers through a double quantum dot

TL;DR

This paper studies how quantum interference and Coulomb interactions influence electron transfer statistics in a double quantum dot, revealing sensitive measures and oscillatory behaviors with implications for quantum transport understanding.

Contribution

It introduces a quantum master equation approach to analyze interference effects on counting statistics in double quantum dots, highlighting skewness and residence time as key indicators.

Findings

Skewness and residence time are highly sensitive to interference and Coulomb effects.

Consecutive transfer probabilities exhibit characteristic temporal oscillations.

Steady-state fluctuation theorem remains valid despite interactions and interference.

Abstract

We investigate the effect of quantum interferences and Coulomb interaction on the counting statistics of electrons crossing a double quantum dot in a parallel geometry using a generating function technique based on a quantum master equation approach. The skewness and the average residence time of electrons in the dots are shown to be the quantities most sensitive to interferences and Coulomb coupling. The joint probabilities of consecutive electron transfer processes show characteristic temporal oscillations due to interference. The steady-state fluctuation theorem which predicts a universal connection between the number of forward and backward transfer events is shown to hold even in the presence of Coulomb coupling and interference.