We investigate the electromechanical coupling between a nanomechanicalresonator and two parametrically coupled superconducting coplanar waveguidecavities that are driven by a two-mode squeezed microwave source. We show that,with the selective coupling of the resonator to the cavity Bogoliubov modes,the radiation-pressure type coupling can be greatly enhanced by several ordersof magnitude, enabling the single photon strong coupling to be reached. Thisallows the investigation of a number of interesting phenomena such as photonblockade effects and the generation of nonclassical quantum states withelectromechanical systems.
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