Electromagnetically induced transparency in many-emitter waveguide quantum electrodynamics: Linear versus nonlinear waveguide dispersions
Tiberius Berndsen, Imran M. Mirza · Physical Review A · 2023
We study single-photon-induced electromagnetically induced transparency (EIT) in many-emitter waveguide quantum electrodynamics (wQED) with linear, nonlinear, and quasilinear waveguide dispersion relations. In the single-emitter problem, in addition to the robustness of the EIT spectral features in the overcoupled regime of wQED, we find that the nonlinear dispersion results in the appearance of a side peak for frequencies smaller than the resonant EIT frequency, which turns into a plateau as the nonlinearity is reduced. The quasilinear case produces a similar spectrum to the purely linear scenario with a small observable difference in the far-detuned regime. Consequently, for many-emitter scenarios, our results indicate the formation of band structure for purely linear cases, which, for smaller values of nonlinearity, leads to a narrow band-gap-like structure compared to the corresponding linear and quasilinear dispersion cases. Long-distance quantum networking aided with quantum memories can serve as one of the targeted applications of this work.