I discuss our work in quantum cavity optomechanics, and some recent experiments harnessing correlations between multiple modes – like those behind ponderomotive squeezing. In experiments to create an quantum converter between microwave and optical fields, we reduce the impact of thermal noise using electro-optic correlations in a 50% efficient converter. In an interferometer limited by the tradeoff between shot noise and backaction, we use correlations to improve broadband displacement detection at the standard quantum limit.