Charge Transport Through Open, Driven Two-Level Systems with Dissipation

TL;DR

This paper develops a Floquet-like formalism to compute the steady-state current in an AC-driven double quantum dot with dissipation, accommodating arbitrary coupling strengths and comparing numerical results with analytical formulas.

Contribution

It introduces a novel formalism for analyzing driven quantum systems with dissipation, extending existing methods to arbitrary coupling regimes.

Findings

The formalism accurately predicts the stationary current under various conditions.

Numerical evaluations agree with perturbative analytical results in certain limits.

The approach enables detailed study of dissipation effects in driven quantum dots.

Abstract

We derive a Floquet-like formalism to calculate the stationary average current through an AC driven double quantum dot in presence of dissipation. The method allows us to take into account arbitrary coupling strengths both of a time-dependent field and a bosonic environment. We numerical evaluate a truncation scheme and compare with analytical, perturbative results such as the Tien-Gordon formula.