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Phys. Rev. A 70, 052102 (2004) [5 pages]

Estimation of a classical parameter with Gaussian probes: Magnetometry with collective atomic spins

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Klaus Mølmer1 and Lars Bojer Madsen2
1Danish National Research Foundation Center for Quantum Optics and Department of Physics and Astronomy, University of Aarhus, 8000 Århus C, Denmark
2Department of Physics and Astronomy, University of Aarhus, 8000 Århus C, Denmark

Received 23 February 2004; published 8 November 2004

We present a theory for the estimation of a classical magnetic field by an atomic sample with a Gaussian distribution of collective spin components. By incorporating the magnetic field and the probing laser field as quantum variables with Gaussian distributions on equal footing with the atoms, we obtain a very versatile description which is readily adapted to include probing with squeezed light, dissipation, and loss and additional measurement capabilities on the atomic system.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.052102
DOI:
10.1103/PhysRevA.70.052102
PACS:
03.65.Ta, 03.67.Mn, 07.55.Ge