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The one- and two-photon scattering matrix S is obtained analytically for aone-dimensional waveguide and a point-like scatterer with N excited levels(generalized V -type atom). We argue that the two-photon scattering matrixcontains sufficient information to distinguish between different levelstructures which are equivalent for single-photon scattering, such as a V -atomwith N = 2 excited levels and two two-level systems. In particular, we showthat the scattering with the V -type atom exhibits a destructive interferenceeffect leading to two-photon Coupled-Resonator-Induced Transparency, where thenonlinear part of the two-photon scattering matrix vanishes when each incidentphoton fulfills a single-photon condition for transparency.

One- and two-photon scattering from generalized V-type atoms