# Non-Markovian dynamics of giant emitters beyond the Weisskopf-Wigner approximation

## TL;DR

This paper investigates the complex non-Markovian behavior of giant quantum emitters beyond traditional models, providing exact solutions and insights into bound states and superpositions, with potential superconducting circuit implementations.

## Contribution

It introduces minimal models of giant emitters coupled to waveguides, solving their dynamics exactly and exploring bound states and superpositions beyond the Weisskopf-Wigner approximation.

## Key findings

- Exact solutions for symmetric giant emitter configurations
- Identification of bound states inside and outside the continuum
- Feasible implementation in superconducting circuits

## Abstract

Giant quantum emitters, whose effective size is comparable to the wavelength of the radiation they couple to, give rise to interference effects and non-Markovian dynamics that lie beyond the scope of the standard Weisskopf-Wigner approximation. Here we study minimal models of giant emitters coupled to cavit$-array waveguides and identify symmetric configurations where the dynamics can be solved exactly. This allows us to capture the emergence of bound states both inside and outside the photonic continuum, and to demonstrate the possibility of engineering their coherent superpositions. Our results provide analytical insight into non-Markovian light-matter interaction and suggest a feasible implementation using superconducting circuit platforms.