# Markovian and Non-Markovian Dynamics of Quantum Emitters coupled to Two-dimensional Structured Reservoirs

## TL;DR

This paper investigates how quantum emitters interact with two-dimensional structured reservoirs, revealing complex dynamics, anisotropic interactions, and super/subradiance, especially when tuned near the band center or other spectral regions.

## Contribution

It extends previous work by analyzing quantum emitter dynamics across different spectral regions of 2D structured reservoirs, highlighting non-perturbative effects and anisotropic behaviors.

## Key findings

- Failure of perturbative treatments near the band center
- Emergence of anisotropic interactions
- Observation of super- and subradiant states

## Abstract

The interaction of quantum emitters with structured baths modifies both their individual and collective dynamics. In Gonz\'alez-Tudela \emph{et al} we show how exotic quantum dynamics emerge when QEs are spectrally tuned around the middle of the band of a two-dimensional structured reservoir, where we predict the failure of perturbative treatments, anisotropic interactions and novel super and subradiant behaviour. In this work, we provide further analysis of that situation, together with a complete analysis for the quantum emitter dynamics in spectral regions different from the center of the band.