Theoretical treatment of the interaction between two-level atoms and periodic waveguides

Abstract

Light transport in periodic waveguides coupled to a two-level atom is investigated. By using optical Bloch equations and a photonic modal formalism, we derive semi-analytical expressions for the scattering matrix of one atom trapped in a periodic waveguide. The derivation is general, as the expressions hold for any periodic photonic or plasmonic waveguides. It provides a basic building block to study collective effects arising from photon-mediated multi-atom interactions in periodic waveguides.

6 pages with 3 figures

References in corpus (5)

• Entanglement of two qubits mediated by one-dimensional plasmonic waveguides
• Superradiance for atoms trapped along a photonic crystal waveguide
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Ultra-sensitive surface absorption spectroscopy using sub-wavelength diameter optical fibers
• Coherent interaction of a metallic structure with a single quantum emitter: from super absorption to cloaking

Cited by in corpus (5)

• Microwave photonics with superconducting quantum circuits
• Measurement of deep-subwavelength emitter separation in a waveguide-QED system
• Few-Photon Scattering in Dispersive Waveguides with Multiple Qubits
• Asymmetric comb waveguide for strong interactions between atoms and light
• Interaction between atoms and slow light: a waveguide-design study