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Gravitational Sensing With Weak Value Based Optical Sensors, Andrew N. Jordan, Philippe Lewalle, Jeff Tollaksen, John C. Howell
Gravitational Sensing With Weak Value Based Optical Sensors, Andrew N. Jordan, Philippe Lewalle, Jeff Tollaksen, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
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.