Strong actuation and optomechanical application of mass loaded membranes

TL;DR

This paper presents a novel capacitive actuation method for mass-loaded membranes, enabling strong actuation and optomechanical applications, with potential for detecting weak gravitational forces and integrating with microwave optomechanics.

Contribution

It introduces a capacitive actuation technique for a 1 mg gold sphere on a silicon nitride membrane, enhancing actuation strength and optomechanical coupling for gravitational experiments.

Findings

Achieved over 700 nm oscillation amplitude.

Demonstrated >10% tunability of mechanical resonance.

Maintained high cavity quality factor at cryogenic temperatures.

Abstract

An increasing number of studies are moving towards the combination of quantum mechanics and gravity, where studying gravity from a very small source mass is a viable starting point. Preparing for such experiments, investigations of weak gravitational forces have employed mechanical resonators to detect time-dependent gravitational forces from actuated source masses. Here, we demonstrate a source mass approach which utilizes capacitive actuation of a 1 mg gold sphere embedded on a silicon nitride membrane, rather than piezoelectric or motorized actuation. The design simultaneously provides a method for microwave optomechanical implementation by coupling the membrane position to the electromagnetic mode of a 3D cavity. The cavity quality factor is not significantly compromised by electromagnetic leakage to the actuation electrode, allowing DC and kilohertz AC voltages to be introduced in the region where electric fields are strongly concentrated. We measure over 700 nm of driven oscillation amplitude and more than ten percent tunability in the mechanical resonance frequency of the loaded membrane, giving the potential to match the oscillations to the frequency range of a detector in future experiments. An optomechanical readout is demonstrated by measuring the cavity resonance at cryogenic temperatures, while room temperature measurements provide complimentary understanding of the mechanisms which influence the mechanical response, including repulsive contact due to collisions within the device.