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Gravitational sensing with weak value based optical sensors

Quantum Studies: Mathematics and Foundations 6(2)
Jordan, A.N.Lewalle, P.Tollaksen, J.Howell, J.C. Department of Physics and Astronomy,
University of Rochester,
New York, USA

Institute for Quantum Studies,
Chapman University,
Orange, CA, USA

A. N. Jordan Scientific,

Schmid College of Science and Technology,
Chapman University,
Orange, CA, USA

Racah Institute of Physics,
The Hebrew University of Jerusalem,
2018 Physics

Using weak values amplification angular resolution limits, we theoretically investigate the gravita- tional 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 1mW. 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.

The article was published in: Quantum Studies: Mathematics and Foundations 6(2): 169-180.

Full article

This work was supported (in part) by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust.