Signatures of centrifugal force of a supercurrent

Quantum phases are characterized by their geometric response, offering a unique and, so far, unrealized window into their low-energy physics. In superconductors, the lowest order geometric response arises from the centrifugal force exerted by a supercurrent. We present preliminary evidence of the centrifugal force of a supercurrent on the vibrational modes of a SiN membrane measured with part-per-billion accuracy. I will discuss outlook for further measurements and for future experiments to detect the interaction between vortices and curvature.