Stepwise introduction of model complexity in a generalized master equation approach to time-dependent transport

TL;DR

This paper presents a method for modeling time-dependent electron transport in a cavity-embedded system by gradually increasing model complexity and using a non-perturbative approach to include interactions and external fields.

Contribution

It introduces a stepwise complexity approach combined with a non-Markovian generalized master equation for accurate time-dependent transport modeling.

Findings

Effective description of electron transport with external magnetic fields.

Retention of geometric and electromagnetic effects in the model.

Non-perturbative treatment of Coulomb and photon interactions.

Abstract

We demonstrate that with a stepwise introduction of complexity to a model of an electron system embedded in a photonic cavity and a carefully controlled stepwise truncation of the ensuing many-body space it is possible to describe the time-dependent transport of electrons through the system with a non-Markovian generalized quantum master equation. We show how this approach retains effects of an external magnetic field and the geometry of an anisotropic electronic system. The Coulomb interaction between the electrons and the full electromagnetic coupling between the electrons and the photons are treated in a non-perturbative way using "exact numerical diagonalization".