Gravitational sensing with weak value based optical sensors

Andrew N. Jordan; Philippe Lewalle; Jeff Tollaksen; John C. Howell

doi:10.1007/s40509-018-0175-9

Gravitational sensing with weak value based optical sensors

Andrew N. Jordan, Philippe Lewalle^*, Jeff Tollaksen, John C. Howell

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	American English
Pages (from-to)	169-180
Number of pages	12
Journal	Quantum Studies: Mathematics and Foundations
Volume	6
Issue number	2
DOIs	https://doi.org/10.1007/s40509-018-0175-9
State	Published - 1 Jun 2019

Bibliographical note

Funding Information:
ANJ and PL acknowledge funding from Leonardo DRS technologies, and a University of Rochester pump-primer award. JCH acknowledges funding from ARO. JT acknowledges support by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust. ANJ discloses that a portion of this research was conducted outside of the University of Rochester through his LLC. Financial interests include ownership and fiduciary roles in the LLC. PL and ANJ would like to thank Kevin Lyons for helpful discussions. We thank the Institute for Quantum Studies at Chapman University for support. We also thank Steven and Jennifer Baker of Laguna Beach for their hospitality during the writing of this manuscript.

Funding Information:
ANJ and PL acknowledge funding from Leonardo DRS technologies, and a University of Rochester pump-primer award. JCH acknowledges funding from ARO. JT acknowledges support by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust. ANJ discloses that a portion of this research was conducted outside of the University of Rochester through his LLC. Financial interests include ownership and fiduciary roles in the LLC. PL and ANJ would like to thank Kevin Lyons for helpful discussions. We thank the Institute for Quantum Studies at Chapman University for support. We also thank Steven and Jennifer Baker of Laguna Beach for their hospitality during the writing of this manuscript.

Publisher Copyright:
© 2018, Chapman University.

Keywords

Gravimetry
Gravity gradiometer
Optical sensing
Weak value amplification

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10.1007/s40509-018-0175-9

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title = "Gravitational sensing with weak value based optical sensors",

abstract = "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{\textquoteright}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.",

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note = "Funding Information: ANJ and PL acknowledge funding from Leonardo DRS technologies, and a University of Rochester pump-primer award. JCH acknowledges funding from ARO. JT acknowledges support by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust. ANJ discloses that a portion of this research was conducted outside of the University of Rochester through his LLC. Financial interests include ownership and fiduciary roles in the LLC. PL and ANJ would like to thank Kevin Lyons for helpful discussions. We thank the Institute for Quantum Studies at Chapman University for support. We also thank Steven and Jennifer Baker of Laguna Beach for their hospitality during the writing of this manuscript. Funding Information: ANJ and PL acknowledge funding from Leonardo DRS technologies, and a University of Rochester pump-primer award. JCH acknowledges funding from ARO. JT acknowledges support by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust. ANJ discloses that a portion of this research was conducted outside of the University of Rochester through his LLC. Financial interests include ownership and fiduciary roles in the LLC. PL and ANJ would like to thank Kevin Lyons for helpful discussions. We thank the Institute for Quantum Studies at Chapman University for support. We also thank Steven and Jennifer Baker of Laguna Beach for their hospitality during the writing of this manuscript. Publisher Copyright: {\textcopyright} 2018, Chapman University.",

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N2 - 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.

AB - 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.

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Gravitational sensing with weak value based optical sensors

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Keywords

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