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A microscopic model of degenerate four-wave mixing including the quantization of the medium is given. Thus the full effects of loss and spontaneous emission on the squeezing attainable are analyzed. We examine separately the squeezing in the output fields for counterpropagating four-wave mixing, copropagating four-wave mixing, and four-wave mixing in a single-ended optical ring cavity. Good squeezing is possible only in certain limits of atomic parameters.
Reid et al. (Fri,) studied this question.