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Three-tone coherent microwave electromechanical measurement of a superfluid Helmholtz resonator

Publication at Faculty of Mathematics and Physics |
2023

Abstract

We demonstrate electromechanical coupling between a superfluid mechanical mode and a microwave mode formed by a patterned microfluidic chip and a 3D cavity. The electric field of the chip-cavity microwave resonator can be used to both drive and detect the motion of a pure superflow Helmholtz mode, which is dictated by geometric confinement.

The coupling is characterized using a coherent measurement technique developed for measuring weak couplings deep in the sideband unresolved regime. The technique is based on two-probe optomechanically induced transparency/amplification using amplitude modulation.

Instead of measuring two probe tones separately, they are interfered to retain only a signal coherent with the mechanical motion. With this method, we measure a vacuum electromechanical coupling strength of g0 1/4 2p x 23:3 l Hz, three orders of magnitude larger than previous superfluid electromechanical experiments.