Modeling Atomistically Assembled Diffractive Optics in Solids

TL;DR

This paper introduces a comprehensive model for long-range atom-atom interactions in 2D optical lattices, accounting for disorder and broadening effects, with applications in designing scalable quantum optical devices.

Contribution

It presents a novel analytical and numerical framework for modeling atomistic interactions in complex lattice geometries, applicable across various quantum systems.

Findings

Developed a mathematical framework using Green's functions for atom-atom interactions.

Applicable to diverse quantum platforms including cold atoms and solid-state photonics.

Enables scalable design of quantum optical elements like quantum lenses.

Abstract

We develop a model describing long-range atom-atom interactions in a two-dimensional periodic or a-periodic lattice of optical centers considering spectral and spatial broadening effects. Using both analytical and numerical Green's function techniques, we develop a mathematical framework to describe effective atom-atom interactions and collective behaviors in the presence of disorder. This framework is applicable to a broad range of quantum systems with arbitrary lattice geometries, including cold atoms, solid-state photonics, and superconducting platforms. The model can be used, for example, to scalably design quantum optical elements, e.g. a quantum lens, harnessing atomistic engineering (e.g. via ion implantation) of collective interactions in materials to enhance quantum properties at scale.