The influence of charge detection on counting statistics

TL;DR

This paper studies how charge detection affects electron counting statistics in a double quantum dot system, highlighting the impact of dephasing mechanisms from a quantum point contact and an external heat bath.

Contribution

It introduces a non-Markovian generalized master equation approach to analyze counting statistics under charge detection and compares different dephasing sources.

Findings

Charge detection influences electron counting statistics.

Dephasing mechanisms differ between quantum point contact and heat bath.

Method enables analysis of cumulants in non-Markovian systems.

Abstract

We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of electrons on the double dot is detected with a nearby quantum point contact. Charge transport through the double dot is governed by a non-Markovian generalized master equation. We describe how the cumulants of the current can be obtained for such problems, and investigate the difference between the dephasing mechanisms induced by the quantum point contact and the coupling to the external heat bath. Finally, we consider various open questions of relevance to future research.