Abstract
The shot-noise detection limit in current high-precision magnetometry [I. Kominis, T. Kornack, J. Allred, and M. Romalis, Nature (London) 422, 596 (2003)]10.1038/nature01484 is a manifestation of quantum fluctuations that scale as 1/{radical}(N) in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [V. Belavkin, 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.
Geremia, J M;
Stockton, John K;
Doherty, Andrew C;
Mabuchi, Hideo
[1]
- Norman Bridge Laboratory of Physics, California Institute of Technology, Pasadena, California, 91125 (United States)
Citation Formats
Geremia, J M, Stockton, John K, Doherty, Andrew C, and Mabuchi, Hideo.
Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry.
United States: N. p.,
2003.
Web.
doi:10.1103/PhysRevLett.91.250801.
Geremia, J M, Stockton, John K, Doherty, Andrew C, & Mabuchi, Hideo.
Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry.
United States.
https://doi.org/10.1103/PhysRevLett.91.250801
Geremia, J M, Stockton, John K, Doherty, Andrew C, and Mabuchi, Hideo.
2003.
"Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry."
United States.
https://doi.org/10.1103/PhysRevLett.91.250801.
@misc{etde_20558089,
title = {Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry}
author = {Geremia, J M, Stockton, John K, Doherty, Andrew C, and Mabuchi, Hideo}
abstractNote = {The shot-noise detection limit in current high-precision magnetometry [I. Kominis, T. Kornack, J. Allred, and M. Romalis, Nature (London) 422, 596 (2003)]10.1038/nature01484 is a manifestation of quantum fluctuations that scale as 1/{radical}(N) in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [V. Belavkin, 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.}
doi = {10.1103/PhysRevLett.91.250801}
journal = []
issue = {25}
volume = {91}
journal type = {AC}
place = {United States}
year = {2003}
month = {Dec}
}
title = {Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry}
author = {Geremia, J M, Stockton, John K, Doherty, Andrew C, and Mabuchi, Hideo}
abstractNote = {The shot-noise detection limit in current high-precision magnetometry [I. Kominis, T. Kornack, J. Allred, and M. Romalis, Nature (London) 422, 596 (2003)]10.1038/nature01484 is a manifestation of quantum fluctuations that scale as 1/{radical}(N) in an ensemble of N atoms. Here, we develop a procedure that combines continuous measurement and quantum Kalman filtering [V. Belavkin, 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.}
doi = {10.1103/PhysRevLett.91.250801}
journal = []
issue = {25}
volume = {91}
journal type = {AC}
place = {United States}
year = {2003}
month = {Dec}
}