Estimation of fluctuating magnetic fields by an atomic magnetometer

Details Estimation of fluctuating magnetic fields by an atomic magnetometer Estimation of fluctuating magnetic fields by an atomic magnetometer

2006-05-29

arxiv.org/abs/quant-ph/0605237v1

Physics

Quantum Physics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevA.74.043802

We present a theoretical analysis of the ability of atomic magnetometers to estimate a fluctuating magnetic field. Our analysis makes use of a Gaussian state description of the atoms and the probing field, and it presents the estimator of the field and a measure of its uncertainty which coincides in the appropriate limit with the achievements for a static field. We show by simulations that the estimator for the current value of the field systematically lags behind the actual value of the field, and we suggest a more complete theory, where measurement results at any time are used to update and improve both the estimate of the current value and the estimate of past values of the B-field.

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