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Frontiers in Optics

Electromagnetically Induced Transparency (EIT) in Nonlinear Waveguide Quantum Electrodynamics

Tiberius Berndsen, Imran M. Mirza

Published Jan 1, 2023• 0 citations
Publisher

Abstract

We study the phenomenon of EIT in waveguide quantum electrodynamics with nonlinear dispersion (NLD) of the waveguides and compare the single photon transport results with the already studied case of waveguides with linear dispersions (LD).
DOI
10.1364/fio.2023.jtu5a.34

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We study single-photon transport in a one-dimensional disordered lattice of three-level atoms coupled to an optical waveguide. In particular, we study atoms of Λ-type that are capable of exhibiting electromagnetically induced transparency and separately consider disorder in the atomic positions and transition frequencies. We mainly address the question of how preferential emission into waveguide modes (chirality) can influence the formation of spatially localized states. Our work has relevance to experimental studies of cold atoms coupled to nanoscale waveguides and has possible applications to quantum communications.
We address correlated few-photon transport in one-dimensional waveguides coupled to a two-level system (TLS), such as an atom or a quantum dot. We derive exactly the single-photon and two-photon current (transmission) for linear and nonlinear (tight-binding sinusoidal) energy-momentum dispersion relations of photons in the waveguides and compare the results for the different dispersions. A large enhancement of the two-photon current for the sinusoidal dispersion has been seen at a certain transition energy of the TLS away from the single-photon resonances.