Non-stationary effects in the coupled quantum dots influenced by the electron-phonon interaction

TL;DR

This paper investigates how electron-phonon interactions affect charge dynamics in coupled quantum dots, revealing increased relaxation rates, multiple time scales, and phonon-induced oscillations in charge evolution.

Contribution

It provides a detailed analysis of non-stationary effects in coupled quantum dots influenced by electron-phonon interactions, highlighting new relaxation behaviors and oscillation phenomena.

Findings

Electron-phonon interaction increases charge relaxation rates.

Multiple relaxation time scales emerge in non-resonant tunneling.

Oscillations in charge dynamics are caused by phonon emission and absorption.

Abstract

We analyzed time evolution of the localized charge in the system of two interacting single level quantum dots (QDs) coupled with the continuous spectrum states in the presence of electron-phonon interaction. We demonstrated that electron-phonon interaction leads to the increasing of localized charge relaxation rate. We also found that several time scales with different relaxation rates appear in the system in the case of non-resonant tunneling between the dots. We revealed the formation of oscillations in the filling numbers time evolution caused by the emission and adsorption processes of phonons.