A Scheme to Entangle Nanomechanical Resonators and Microwave Cavities

A scheme able to entangle at the steady state a nanomechanical resonator with a microwave cavity mode of a driven superconducting coplanar waveguide is proposed. The nanomechanical resonator is capacitively coupled with the central conductor of the waveguide and stationary entanglement is achievable up to temperatures of tens of milliKelvin. Although not easy to reach experimentally it would provide a viable way to entangling many nano resonators via a common cavity field.