Emergence of correlated optics in one-dimensional waveguides for classical and quantum atomic gases

TL;DR

This paper investigates how correlated optical effects emerge in one-dimensional waveguides containing classical or quantum atomic gases, highlighting the roles of density, temperature, and losses in collective responses.

Contribution

It introduces a comprehensive analysis of correlated optical phenomena in waveguides, including the calculation of the cooperative Lamb shift and specific line shifts for 1D systems.

Findings

Correlated optical phenomena depend on atom density, thermal effects, and photon losses.

The cooperative Lamb shift is quantified for waveguide transmission.

Line shifts are specific to one-dimensional waveguide systems.

Abstract

We analyze the emergence of correlated optical phenomena in the transmission of light through a waveguide that confines classical or ultracold quantum degenerate atomic ensembles. The conditions of the correlated collective response are identified in terms of atom density, thermal broadening, and photon losses by using stochastic Monte-Carlo simulations and transfer matrix methods of transport theory. We also calculate the "cooperative Lamb shift" for the waveguide transmission resonance, and discuss line shifts that are specific to effectively one-dimensional waveguide systems.