Shot noise in non-adiabatically driven nanoscale conductors

TL;DR

This paper studies the noise characteristics of pump currents in nanoscale conductors, specifically molecular wires and quantum dots, under non-adiabatic driving, comparing non-interacting and strongly interacting electron regimes.

Contribution

It introduces a combined Floquet scattering and master equation approach to analyze noise in driven nanoscale systems with different electron interaction strengths.

Findings

Minimal difference in noise between non-interacting and strongly interacting electrons near resonances.

Development of a formalism for noise calculation in non-adiabatically driven quantum systems.

Insights into the robustness of pump current noise properties across interaction regimes.

Abstract

We investigate the noise properties of pump currents through molecular wires and coupled quantum dots. As a model we employ a two level system that is connected to electron reservoirs and is non-adiabatically driven. Concerning the electron-electron interaction, we focus on two limits: non-interacting electrons and strong Coulomb repulsion. While the former case is treated within a Floquet scattering formalism, we derive for the latter case a master equation formalism for the computation of the current and the zero-frequency noise. For a pump operated close to internal resonances, the differences between the non-interacting and the strongly interacting limit turn out to be surprisingly small.