We propose quantum-mechanical model of a beam splitter with second-order nonlinearity and show that non-classical features such as squeezing and sub-Poissonian photon statistics of optical fields can be generated in output fundamental and second harmonic modes when we mix coherent light beams via such a nonlinear beam splitter.
@article{arxiv.1603.09171,
title = {Generation of non-classical optical fields by a beam splitter with second-order nonlinearity},
author = {Hari Prakash and Devendra Kumar Mishra},
journal= {arXiv preprint arXiv:1603.09171},
year = {2016}
}