Gravitational sensing with weak value based optical sensors

Abstract

Using weak values amplification angular resolution limits, we theoretically investigate the gravitational sensing of objects. By inserting a force-sensing pendulum into a weak values interferometer, the optical response can sense accelerations to a few 10's of zepto-g Hz −1 2 , with optical powers of 1 mW. We convert this precision into range and mass sensitivity, focusing in detail on simple and torsion pendula. Various noise sources present are discussed, as well as the necessary cooling that should be applied to reach the desired levels of precision.

Geometric phases and the Sagnac effect: Foundational aspects and sensing applications

“…Post-selection of the dark port of a Sagnac interferometer was shown to yield ultra-sensitive deflection [171] and tilt measurements [183], as well as for sensitive gravimetry [188]. Another work used weak value amplification for improved sensing of angular rotations [189].…”