Estimation of fluctuating magnetic fields by an atomic magnetometer
Abstract
We present a theoretical procedure to estimate with an atomic magnetometer the time dependence of a magnetic field that fluctuates according to an Ornstein-Uhlenbeck process. The magnetometer applies the detected polarization rotation of an optical probe to measure a collective atomic spin, which precesses due to the magnetic field. Based on the noisy optical detection record, our consistent Gaussian update formalism provides an estimator for the magnetic fields, and we identify analytically the steady-state performance of this estimator. We show that the estimate of the current value of the magnetic field is further improved if noisy measurement data obtained also at later times are taken into account.
- Authors:
-
- QUANTOP--Danish National Research Foundation Center for Quantum Optics, Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C (Denmark)
- Publication Date:
- OSTI Identifier:
- 20863965
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. A
- Additional Journal Information:
- Journal Volume: 74; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.74.043802; (c) 2006 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:
- 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; DETECTION; MAGNETIC FIELDS; MAGNETOMETERS; PERFORMANCE; POLARIZATION; PROBES; ROTATION; SPIN; STEADY-STATE CONDITIONS; TIME DEPENDENCE
Citation Formats
Petersen, Vivi, and Moelmer, Klaus. Estimation of fluctuating magnetic fields by an atomic magnetometer. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.74.043802.
Petersen, Vivi, & Moelmer, Klaus. Estimation of fluctuating magnetic fields by an atomic magnetometer. United States. https://doi.org/10.1103/PHYSREVA.74.043802
Petersen, Vivi, and Moelmer, Klaus. 2006.
"Estimation of fluctuating magnetic fields by an atomic magnetometer". United States. https://doi.org/10.1103/PHYSREVA.74.043802.
@article{osti_20863965,
title = {Estimation of fluctuating magnetic fields by an atomic magnetometer},
author = {Petersen, Vivi and Moelmer, Klaus},
abstractNote = {We present a theoretical procedure to estimate with an atomic magnetometer the time dependence of a magnetic field that fluctuates according to an Ornstein-Uhlenbeck process. The magnetometer applies the detected polarization rotation of an optical probe to measure a collective atomic spin, which precesses due to the magnetic field. Based on the noisy optical detection record, our consistent Gaussian update formalism provides an estimator for the magnetic fields, and we identify analytically the steady-state performance of this estimator. We show that the estimate of the current value of the magnetic field is further improved if noisy measurement data obtained also at later times are taken into account.},
doi = {10.1103/PHYSREVA.74.043802},
url = {https://www.osti.gov/biblio/20863965},
journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 74,
place = {United States},
year = {Sun Oct 15 00:00:00 EDT 2006},
month = {Sun Oct 15 00:00:00 EDT 2006}
}
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