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Abstract
A quantum theory of multiwave mixing based on a combination of a Langevin quantum regression method and a density operator technique is outlined. The approach is simple, yet general, and is particularly valuable for analyzing complicated media such as semiconductors. We apply it to find the quantum multiwave mixing equations in a squeezed vacuum. Comparing squeezing spectra in squeezed and ordinary vacua, we find significantly enhanced squeezing for the appropriate pump-vacuum relative phase.
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