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

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.

4 pages, 1 figure

References in corpus (3)

• Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
• Robust quantum parameter estimation: coherent magnetometry with feedback
• What is really "quantum" in quantum theory?

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