Let's consider a gaussian squeezed state(e.g. out of parametric down conversion) where two-mode squeezing is apllied on individually single mode squeezed bi-partite state. What is the corresponding photon-number distribution?
If I understand you correctly, then I think that your question is well answered here: http://journals.aps.org/pra/abstract/10.1103/PhysRevA.87.053823 (http://arxiv.org/abs/1303.3623). Just read past the simulation and waveguiding parts and focus on photon-number distributions.