Full Counting Statistics of a Non-adiabatic Electron Pump

TL;DR

This paper presents a theoretical study of non-adiabatic charge pumping in a quantum dot, revealing a trinomial distribution of charge transfer and analyzing current and noise characteristics under different driving schemes.

Contribution

It introduces a quantum-master-equation approach to full counting statistics in non-adiabatic electron pumping, highlighting a trinomial distribution and providing numerical analysis of current and noise.

Findings

Charge transfer follows a trinomial distribution.

Reversal of pumping current occurs by sweeping the driving frequency.

Current and noise characteristics are analyzed for different driving schemes.

Abstract

Non-adiabatic charge pumping through a single-level quantum dot with periodically modulated parameters is studied theoretically. By means of a quantum-master-equation approach the full counting statistics of the system is obtained. We find a trinomial-probability distribution of the charge transfer, which adequately describes the reversal of the pumping current by sweeping the driving frequency. Further, we derive equations of motion for current and noise, and solve those numerically for two different driving schemes. Both show interesting features which can be fully analyzed due to the simple and generic model studied.