# Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach

## TL;DR

This paper investigates electron pumping in a quantum dot system under strong coupling and non-Markovian conditions, revealing unique rectification effects and characterizing charge fluctuations using advanced theoretical methods.

## Contribution

It introduces a reaction coordinate mapping approach to analyze electron pumping in non-Markovian regimes, highlighting the role of spectral density and driving parameters.

## Key findings

- Rectification effect is exclusive to non-Markovian dynamics.
- Model acts as a single electron source under certain conditions.
- High-frequency regime mapped to a Floquet master equation.

## Abstract

We study electron pumping in the strong coupling and non-Markovian regime. Our model is a single quantum dot with periodically modulated energy and tunnelling amplitudes. We identify four parameters to control the direction of the current: the driving phase, the coupling strength, the driving frequency and the location of the maxima of the spectral density. In the high-frequency regime, we use a Markovian embedding strategy to map our model to three serial quantum dots weakly coupled to the reservoirs allowing us to use a Floquet master equation. We observe a rectification effect of the pumped charge that is exclusive to the non-Markovian character of our model. In the low-frequency regime, we apply an additional transformation to see our model as three independent transport channels. With the use of full counting statistics, we study charge fluctuations and validate that our model behaves as a single electron source.