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In this work we study the spatio-temporal correlations of photons produced byspontaneous parametric down conversion. In particular, we study how the waistsof the detection and pump beams impact on the spectral bandwidth of thephotons. Our results indicate that this parameter is greatly affected by thespatial properties of the detection beam, while not as much by the pump beam.This allows for a simple experimental implementation to control the bandwidthof the biphoton spectra, which only entails modifying the optical configurationto collect the photons. Moreover, we have performed Hong-Ou-Mandelinterferometry measurements that also provide the phase of the biphotonwavefunction, and thereby its temporal shape. We explain all these results witha toy model derived under certain approximations, which accurately recoversmost of the interesting experimental details.

Bandwidth control of the biphoton wavefunction exploiting spatio-temporal correlations