Practical advantages of almost-balanced-weak-value metrological techniques

Julián Martínez-Rincón; Zekai Chen; John C. Howell

doi:10.1103/PhysRevA.95.063804

Practical advantages of almost-balanced-weak-value metrological techniques

Julián Martínez-Rincón^*, Zekai Chen, John C. Howell

^*Corresponding author for this work

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

12 Scopus citations

Abstract

Precision measurements of ultrasmall linear velocities of one of the mirrors in a Michelson interferometer are performed using two different weak-value techniques. We show that the technique of almost-balanced weak values (ABWV) offers practical advantages over the technique of weak-value amplification, resulting in larger signal-to-noise ratios and the possibility of longer integration times due to robustness to slow drifts. As an example of the performance of the ABWV protocol we report a velocity sensitivity of 60 fm/s after 40 h of integration time. The sensitivity of the Doppler shift due to the moving mirror is 150 nHz.

Original language	American English
Article number	063804
Journal	Physical Review A
Volume	95
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.95.063804
State	Published - 5 Jun 2017
Externally published	Yes

Bibliographical note

Funding Information:
This work was funded by the Army Research Office (Grant No. W911NF-12-1-0263), Northrop Grumman Corporation, and the Department of Physics and Astronomy at the University of Rochester.

Publisher Copyright:
© 2017 American Physical Society.

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title = "Practical advantages of almost-balanced-weak-value metrological techniques",

abstract = "Precision measurements of ultrasmall linear velocities of one of the mirrors in a Michelson interferometer are performed using two different weak-value techniques. We show that the technique of almost-balanced weak values (ABWV) offers practical advantages over the technique of weak-value amplification, resulting in larger signal-to-noise ratios and the possibility of longer integration times due to robustness to slow drifts. As an example of the performance of the ABWV protocol we report a velocity sensitivity of 60 fm/s after 40 h of integration time. The sensitivity of the Doppler shift due to the moving mirror is 150 nHz.",

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AU - Martínez-Rincón, Julián

AU - Chen, Zekai

AU - Howell, John C.

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AB - Precision measurements of ultrasmall linear velocities of one of the mirrors in a Michelson interferometer are performed using two different weak-value techniques. We show that the technique of almost-balanced weak values (ABWV) offers practical advantages over the technique of weak-value amplification, resulting in larger signal-to-noise ratios and the possibility of longer integration times due to robustness to slow drifts. As an example of the performance of the ABWV protocol we report a velocity sensitivity of 60 fm/s after 40 h of integration time. The sensitivity of the Doppler shift due to the moving mirror is 150 nHz.

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Practical advantages of almost-balanced-weak-value metrological techniques

Abstract

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