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Using weak value amplification angular resolution limits, we theoretically investigate the gravitational sensing of objects. By inserting a force-sensing pendulum into a weak value 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.


This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Quantum Studies: Mathematics and Foundations, volume 6, issue 2, in 2019 following peer review. The final publication may differ and is available at Springer via DOI: 10.1007/s40509-018-0175-9.

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Chapman University



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