  We have developed a novel architecture for room temperature microwave cavity
optomechanics, which is based on the coupling of a 3D microwave reentrant
cavity to a compliant membrane. Devices parameters have enabled resolving the
thermomechanical motion of the membrane, and observing optomechanically induced
transparency/absorption in the linear regime, for the first time in a microwave
optomechanical system operated at room temperature. We have extracted the
single photon coupling rate (g0) using four independent measurement techniques,
and hence obtain a full characterization of the proposed cavity optomechanical
system.
