Analytic few-photon scattering in waveguide QED

David L. Hurst and Pieter Kok
Phys. Rev. A 97, 043850 – Published 20 April 2018

Abstract

We develop an approach to light-matter coupling in waveguide QED based upon scattering amplitudes evaluated via Dyson series. For optical states containing more than single photons, terms in this series become increasingly complex, and we provide a diagrammatic recipe for their evaluation, which is capable of yielding analytic results. Our method fully specifies a combined emitter-optical state that permits investigation of light-matter entanglement generation protocols. We use our expressions to study two-photon scattering from a Λ-system and find that the pole structure of the transition amplitude is dramatically altered as the two ground states are tuned from degeneracy.

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  • Received 22 May 2017
  • Revised 9 February 2018

DOI:https://doi.org/10.1103/PhysRevA.97.043850

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

David L. Hurst* and Pieter Kok

  • Department of Physics and Astronomy, University of Sheffield, Hounsfield Road, Sheffield, S3 7RH, United Kingdom

  • *dhurst1@sheffield.ac.uk
  • p.kok@sheffield.ac.uk

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Issue

Vol. 97, Iss. 4 — April 2018

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