dorsal/arxiv
View SchemaEstimation of fluctuating magnetic fields by an atomic magnetometer
| Authors | Vivi Petersen, Klaus Molmer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605237 |
| URL | https://arxiv.org/abs/quant-ph/0605237 |
| DOI | 10.1103/PhysRevA.74.043802 |
Abstract
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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"abstract": "We present a theoretical analysis of the ability of atomic magnetometers to\nestimate a fluctuating magnetic field. Our analysis makes use of a Gaussian\nstate description of the atoms and the probing field, and it presents the\nestimator of the field and a measure of its uncertainty which coincides in the\nappropriate limit with the achievements for a static field. We show by\nsimulations that the estimator for the current value of the field\nsystematically lags behind the actual value of the field, and we suggest a more\ncomplete theory, where measurement results at any time are used to update and\nimprove both the estimate of the current value and the estimate of past values\nof the B-field.",
"arxiv_id": "quant-ph/0605237",
"authors": [
"Vivi Petersen",
"Klaus Molmer"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.043802",
"title": "Estimation of fluctuating magnetic fields by an atomic magnetometer",
"url": "https://arxiv.org/abs/quant-ph/0605237"
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