Full counting statistics for electron transport in periodically driven quantum dots

TL;DR

This paper develops a theoretical framework combining Floquet theory and Green's functions to analyze full counting statistics in periodically driven quantum dot systems, enabling detailed study of quantum transport fluctuations.

Contribution

It introduces a novel application of FCS to periodically driven junctions using Floquet theory and Green's functions, providing a practical method for calculating current cumulants.

Findings

Method successfully computes current cumulants in driven quantum dots.

Application demonstrates detailed fluctuation analysis in model systems.

Framework enhances understanding of nonequilibrium quantum transport.

Abstract

Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum transport. Giving access to all cumulants of the current, the full counting statistics (FCS) is the powerful theoretical method to study fluctuations in nonequilibrium quantum systems. In this paper, we propose the application of FCS to consider periodic driven junctions. The combination of Floquet theory for time dynamics and nonequilibrium counting-field Green's functions enables the practical formulation of FCS for the system. The counting-field Green's functions are used to compute the moment generating function, allowing for the calculation of the time-averaged cumulants of the electronic current. The theory is illustrated using different transport scenarios in model systems.