# Collective Rabi dynamics of electromagnetically-coupled quantum dot ensembles

## TL;DR

This paper models the complex collective Rabi oscillations in large ensembles of quantum dots, revealing synchronization, localization, and dynamic coupling effects driven by electromagnetic interactions.

## Contribution

It introduces an integral kernel method to solve Maxwell-Bloch equations for large quantum dot ensembles, capturing detailed individual and collective dynamics without spatial averaging.

## Key findings

- Prediction of synchronized multiplets exchanging energy
- Identification of polarization localization due to randomness and interactions
- Discovery of wavelength-scale polarization enhancement and suppression

## Abstract

Rabi oscillations typify the inherent nonlinearity of optical excitations in quantum dots. Using an integral kernel formulation to solve the 3D Maxwell-Bloch equations in ensembles of up to $10^4$ quantum dots, we observe features in Rabi oscillations due to the interplay of nonlinearity, non-equilibrium excitation, and electromagnetic coupling between the dots. This approach allows us to observe the dynamics of each dot in the ensemble without resorting to spatial averages. Our simulations predict synchronized multiplets of dots that exchange energy, dots that dynamically couple to screen the effect of incident external radiation, localization of the polarization due to randomness and interactions, as well as wavelength-scale regions of enhanced and suppressed polarization.