Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry

The shot-noise detection limit in current high-precision magnetometry [Nature (London) 422, 596 (2003)] is a manifestation of quantum fluctuations that scale as 1/sqrt[N] in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [Rep. M...

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Bibliographic Details
Published in:Physical review letters 2003-12, Vol.91 (25), p.250801-250801, Article 250801
Main Authors: Geremia, J M, Stockton, John K, Doherty, Andrew C, Mabuchi, Hideo
Format: Article
Language:English
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Summary:The shot-noise detection limit in current high-precision magnetometry [Nature (London) 422, 596 (2003)] is a manifestation of quantum fluctuations that scale as 1/sqrt[N] in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [Rep. Math. Phys. 43, 405 (1999)]] to surpass this conventional limit by exploiting conditional spin squeezing to achieve 1/N field sensitivity. Our analysis demonstrates the importance of optimal estimation for high bandwidth precision magnetometry at the Heisenberg limit and also identifies an approximate estimator based on linear regression.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.91.250801