# Polaron resonances in two vertically stacked quantum dots

## TL;DR

This paper provides a detailed theoretical analysis of polaron states in double quantum dots, revealing how carrier-phonon interactions influence optical spectra and tunneling behaviors.

## Contribution

It introduces a comprehensive model combining 8-band  model, configuration interaction, and collective modes to study polaron resonances in stacked quantum dots.

## Key findings

- p-shell states strongly coupled to phonon replicas of s-shell states
- coupling between carriers and phonons affects optical spectra
- phonon-assisted tunnel coupling depends on dot separation

## Abstract

In this work, we present a theoretical study of polaron states in a double quantum dot system. We present realistic calculations which combine 8 band \kp model, configuration interaction approach and collective modes method. We investigate the dependence of polaron energy branches on axial electric field. We show that coupling between carriers and longitudinal optical phonons via Fr\"{o}hlich interaction leads to qualitative and quantitative reconstruction of the optical spectra. In particular, we study the structure of resonances between the states localized in different dots. We show that $p$-shell states are strongly coupled to the phonon replicas of $s$-shell states, in contrast to the weak direct $s$-$p$ coupling. We discuss also the dependence of the phonon-assisted tunnel coupling strength on the separation between the dots.