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Estimation of a classical parameter with gaussian probes: magnetometry with collective atomic spins

Klaus Molmer·Lars Bojer Madsen
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Abstract

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.

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Klaus Molmer, Lars Bojer Madsen. 2004-03-01. Estimation of a classical parameter with gaussian probes: magnetometry with collective atomic spins. https://doi.org/10.1103/physreva.70.052102

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