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Title: Bayesian estimation of differential interferometer phase

Abstract

We apply Bayesian logic to optimally estimate the differential phase in a discrete-time, dual-interferometer measurement. This method is particularly relevant to the case of a gravity gradiometer, where the gravity gradient between cold-atom fountain interferometers can be estimated from the differential phase, despite the presence of large common phase (acceleration) fluctuations. Given an accurate model, the bias-free algorithm we present is optimal and leverages experimental knowledge of the system noise, classical or quantum, to outperform other typical estimators, including ellipse-fitting techniques.

Authors:
; ;  [1]
  1. Department of Physics, Stanford University, Stanford, California 94305-4060 (United States)
Publication Date:
OSTI Identifier:
21020563
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 76; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.76.033613; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; ALGORITHMS; ATOMS; FLUCTUATIONS; GRAVITATION; INTERFEROMETERS; INTERFEROMETRY; NOISE; PARTICLES

Citation Formats

Stockton, John K, Xinan, Wu, and Kasevich, Mark A. Bayesian estimation of differential interferometer phase. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.033613.
Stockton, John K, Xinan, Wu, & Kasevich, Mark A. Bayesian estimation of differential interferometer phase. United States. https://doi.org/10.1103/PHYSREVA.76.033613
Stockton, John K, Xinan, Wu, and Kasevich, Mark A. 2007. "Bayesian estimation of differential interferometer phase". United States. https://doi.org/10.1103/PHYSREVA.76.033613.
@article{osti_21020563,
title = {Bayesian estimation of differential interferometer phase},
author = {Stockton, John K and Xinan, Wu and Kasevich, Mark A},
abstractNote = {We apply Bayesian logic to optimally estimate the differential phase in a discrete-time, dual-interferometer measurement. This method is particularly relevant to the case of a gravity gradiometer, where the gravity gradient between cold-atom fountain interferometers can be estimated from the differential phase, despite the presence of large common phase (acceleration) fluctuations. Given an accurate model, the bias-free algorithm we present is optimal and leverages experimental knowledge of the system noise, classical or quantum, to outperform other typical estimators, including ellipse-fitting techniques.},
doi = {10.1103/PHYSREVA.76.033613},
url = {https://www.osti.gov/biblio/21020563}, journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 76,
place = {United States},
year = {Sat Sep 15 00:00:00 EDT 2007},
month = {Sat Sep 15 00:00:00 EDT 2007}
}