On the relationship between pump chirp and single-photon chirp in spontaneous parametric downconversion

We study the chronocyclic character, i.e. the joint temporal and spectral properties, of the single-photon constituents of photon pairs generated by spontaneous parametric downconversion. In particular we study how single-photon properties, including purity and single-photon chirp, depend on photon-pair properties, including the type of signal-idler spectral and correlations and the level of pump chirp.