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The recent demonstration of cooling of a macroscopic silicon nitride membrane based on dissipative coupling makes dissipatively coupled optomechanical systems promising candidates for squeezing. We theoretically show that such a system in a cavity on resonance can yield good squeezing, which is comparable to that produced by dispersive coupling. We also report the squeezing resulting from the combined effects of dispersive and dissipative couplings; thus the device can be operated in one regime or the other. We derive the maximal frequency and quadrature angles needed to observe squeezing for given optomechanical coupling strengths. We also discuss the effects of temperature on squeezing.
Qu et al. (Mon,) studied this question.