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We explore the prospects and benefits of combining the techniques of cavityoptomechanics with efforts to image spins using magnetic resonance forcemicroscopy (MRFM). In particular, we focus on a common mechanical resonatorused in cavity optomechanics -- high-stress stoichiometric silicon nitride(Si$_3$N$_4$) membranes. We present experimental work with a trampolinemembrane resonator that has a quality factor above $10^6$ and an order ofmagnitude lower mass than a comparable standard membrane resonators. Suchhigh-stress resonators are on a trajectory to reach 0.1$\rm{aN}/\sqrt{\rm{Hz}}$ force sensitivities at MHz frequencies by usingtechniques such as soft clamping and phononic-crystal control of acousticradiation in combination with cryogenic cooling. We present a demonstration offorce-detected electron spin resonance of an ensemble at room temperature usingthe trampoline resonators functionalized with a magnetic grain. We discussprospects for combining such a resonator with an integrated Fabry-Perot cavityreadout at cryogenic temperatures, and provide ideas for future impacts ofmembrane cavity optomechanical devices on MRFM of nuclear spins.

Spin detection with a micromechanical trampoline: Towards magnetic resonance microscopy harnessing cavity optomechanics