Correlated relaxation and emerging entanglement in arrays of $\Lambda$-type atoms

TL;DR

This paper develops a theoretical framework to study collective relaxation and entanglement in arrays of three-level atoms coupled to waveguide modes, revealing how entanglement emerges and depends on system parameters.

Contribution

It introduces a novel theoretical approach to analyze dissipation-induced entanglement in b1b1-type atom arrays coupled to chiral or achiral waveguides.

Findings

Entanglement emerges during relaxation and persists in steady state.

Photon-atom and atom-atom entanglement are demonstrated.

Entanglement degree depends on interatomic distance and waveguide chirality.

Abstract

We present a theoretical framework for investigating the non-classical collective relaxation in arrays of {\Lambda}-type three-level atoms, where the two optical transitions coupled to a pair of orthogonal chiral or achiral waveguide modes. We demonstrate that the atomic entanglement emerges in the course of relaxation and persists in the final steady state of the system. We also reveal the entanglement of among the emitted photons as well as between the atoms and the photons. The presence and the degree of the entanglement depends crucially on the interatomic distance and the chirality of the waveguide. Our findings open a new way to engineer dissipation-induced entanglement.