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Angular momentum decomposition of entangled photons with an arbitrary pump

Angular momentum decomposition of entangled photons with an arbitrary pump

We calculate the biphoton state generated by spontaneous parametric down-conversion in a thin crystal and under collinear phase matching conditions using a pump consisting of any superposition of Laguerre–Gauss modes. The result has no restrictions on the angular or radial momenta or, in particular, on the width of the pump, …