Stochastic numerical simulations of a fully spatiotemporal Hong-Ou-Mandel dip

We develop a fully spatiotemporal numerical model, based on stochastic simulations, simulating the generation of spatiotemporal multimode spontaneous parametric down-conversion, the propagation of the signal and idler beams through a Hong-Ou-Mandel (HOM) interferometer, and the detection of the outgoing beams with two separate detectors arrays. Spatial and temporal properties of the two-photon interference are investigated by measuring the spatial distribution of the momentum correlations between the time-integrated outgoing far-field images and a full spatiotemporal HOM dip is exhibited. Numerical results also demonstrate that the spatiotemporal coherence properties of biphoton wave packets can be fully characterized by detectors arrays with no temporal resolution.