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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Sum- and difference-frequency generation from squeezed light

Meijuan Wu, Shiqun Li, Ling-An Wu

Published Oct 28, 1992• 0 citations
Publisher

Abstract

We investigate the quantum fluctuations of the fields produced in sum- and difference- frequency generation from light initially in the squeezed state. Under certain conditions the output may also be squeezed.
DOI
10.1117/12.130396

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Sum and difference squeezing are both higher-order, two-mode squeezing effects. Sum squeezing is turned into normal squeezing by sum-frequency generation. The operators that are used to define it form a representation of the su(1,1) Lie algebra. Difference squeezing can generate normal squeezing through difference-frequency generation. The operators that characterize it form a representation of the su(2) Lie algebra. Both are nonclassical effects. For uncorrelated modes the presence of squeezing in at least one of the modes is a necessary condition for the existence of either sum or difference squeezing. If the modes are correlated this is no longer true. Both sum and difference squeezing can be generated by combining a squeezed mode with one in a coherent state. Sum squeezing is also produced by a parametric amplifier. In order to better illustrate some of these effects a pictorial representation of sum squeezing is presented.