Spatio–temporal entanglement of twin photons: An intuitive picture

We draw an intuitive picture of the spatio–temporal properties of the entangled state of twin
photons, where they are described as classical wave-packets. This picture predicts a precise
relation between their temporal and transverse spatial separations at the crystal output. The
space-time coupling described by classical arguments turns out to determine in a precise way the
spatio–temporal structure of the quantum entanglement, analyzed by means of the biphotonic
correlation and of the Schmidt dimensionality of the entanglement.