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We study photon correlations generated by scattering from three-level systems(3LS) in one dimension. The two systems studied are a 3LS in a semi-infinitewaveguide (3LS plus a mirror) and two 3LS in an infinite waveguide (double3LS). Our two-photon scattering approach naturally connects photon correlationeffects with inelastically scattered photons; it corresponds to input-outputtheory in the weak-probe limit. At the resonance where electromagneticallyinduced transparency (EIT) occurs, we find that no photons are scatteredinelastically and hence there are no induced correlations. Slightly away fromEIT, the total inelastically scattered flux is large, being substantiallyenhanced due to the additional interference paths. This enhancement carriesover to the two-photon correlation function, which exhibits non-classicalbehavior such as strong bunching with a very long time-scale. The long timescale originates from the slow-light effect associated with EIT.

Photon Correlations Generated by Inelastic Scattering in a One-Dimensional Waveguide Coupled to Three-Level Systems