Light Scattering From an Atomic Array Trapped Near a One-Dimensional Nanoscale Waveguide: a Microscopic Approach

TL;DR

This paper develops a microscopic theoretical framework to analyze single-photon scattering in atomic arrays coupled to one-dimensional nanoscale waveguides, revealing spectral properties and including multiple scattering channels.

Contribution

It introduces a comprehensive microscopic approach for single-photon scattering in atomic arrays near waveguides, accounting for both Rayleigh and Raman channels, applicable to ordered and disordered configurations.

Findings

Spectral dependencies vary with array order and disorder.

The approach includes multiple scattering channels.

Framework applicable to multilevel atoms with degenerate ground states.

Abstract

The coupling of atomic arrays and one-dimensional subwavelength waveguides gives rise to in- teresting photon transport properties, such as recent experimental demonstrations of large Bragg reflection and paves the way for a variety of potential applications in the field of quantum non-linear optics. Here, we present a theoretical analysis for the process of single-photon scattering in this configuration using a full microscopic approach. Based on this formalism, we analyze the spectral dependencies for different scattering channels from either ordered or disordered arrays. The de- veloped approach is entirely applicable for a single-photon scattering from a quasi-one-dimensional array of multilevel atoms with degenerate ground state energy structure. Our approach provides an important framework for including not only Rayleigh but also Raman channels in the microscopic description of the cooperative scattering process.