Cryogenic rf-to-microwave transducer based on a dc-biased electromechanical system

We report a two-stage, heterodyne rf-to-microwave transducer that combines a tunable electrostatic pre-amplifier with a superconducting electromechanical cavity. A metalized Si 3 N 4 membrane (3 MHz frequency) forms the movable plate of a vacuum-gap capacitor in a microwave LC resonator. A dc bias across the gap converts any small rf signal into a resonant electrostatic force proportional to the bias, providing a voltage-controlled gain that multiplies the cavity’s intrinsic electromechanical gain. In a flip-chip device with a 1.5 µm gap operated at 10 mK we observe dc-tunable anti-spring shifts, and rf-to-microwave transduction at 49 V bias, achieving a charge sensitivity of 87 µe/ Hz (0.9 nV/ Hz ). Extrapolation to sub-micron gaps and state-of-the-art Q > 10 8 membrane resonators predicts sub-200 fV/ Hz sensitivity, establishing dc-biased electromechanics as a practical route towards quantum-grade rf electrometers and low-noise modular heterodyne links for superconducting microwave circuits and charge or voltage sensing.