Abstract
Sum and difference squeezing was defined by Hillery who showed that these turn into normal squeezing in sum and difference frequency generation. We re-examine this using an intense coherent pump mode and with a much better approximation. Our results are valid for much larger interaction times and therefore enable detection of smaller sum and difference squeezings, in principle., Moreover, if both, our and Hillary's results are regarded holding, our results lead to more squeezing.
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