Photon statistics of radiation produced by destructive interference of two-photon absorbed light

Extending our work on the enhancement of photon antibunching we investigate the photon statistics after interference of a two-photon absorbed beam with a coherent one. The interference is calculated in the polarization picture but the equivalence to an interferometer is shown. We use the asymptotic behaviour during two-photon absorption and apply also approximate equations to study the system in the time domain before the asymptotic regime is reached.