Photon-emitter dressed states in a closed waveguide

TL;DR

This paper investigates the stable photon-emitter dressed states in a finite closed waveguide, revealing finite-size effects and their relation to bound states in the continuum, with implications for quantum information applications.

Contribution

It introduces a detailed analysis of photon-emitter dressed states in a finite waveguide, highlighting finite-size effects and their connection to bound states in the continuum.

Findings

Identification of stable dressed states in finite waveguides

Finite-size effects influence photon-emitter interactions

Dressed states relate to bound states in the continuum

Abstract

We study a system made up of one or two two-level quantum emitters, coupled to a single transverse mode of a closed waveguide, in which photon wavenumbers and frequencies are discretized, and characterize the stable states in which one excitation is steadily shared between the field and the emitters. We unearth finite-size effects in the field-emitter interactions and identify a family of dressed states, that represent the forerunners of bound states in the continuum in the limit of an infinite waveguide. We finally consider the potential interest of such states for applications in the field of quantum information.