Bayesian estimation of differential interferometer phase

Journal Article · Sat Sep 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.033613· OSTI ID:21020563

Stockton, John K; Xinan, Wu; Kasevich, Mark A ^[1]

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1. Department of Physics, Stanford University, Stanford, California 94305-4060 (United States)

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.

• OSTI ID: 21020563
• Journal Information: Physical Review. A, Vol. 76, Issue 3; Other Information: DOI: 10.1103/PhysRevA.76.033613; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATION
ALGORITHMS
ATOMS
FLUCTUATIONS
GRAVITATION
INTERFEROMETERS
INTERFEROMETRY
NOISE
PARTICLES