CaltechAUTHORS
  A Caltech Library Service

Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry

Geremia, J. M. and Stockton, John K. and Doherty, Andrew C. and Mabuchi, Hideo (2003) Quantum Kalman filtering and the Heisenberg limit in atomic magnetometry. Physical Review Letters, 91 (25). Art. No. 250801. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:GERprl03

[img]
Preview
PDF
See Usage Policy.

225Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:GERprl03

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)] is a manifestation of quantum fluctuations that scale as 1/root-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.


Item Type:Article
Additional Information:©2003 The American Physical Society. Received 27 June 2003; published 19 December 2003. This work was supported by the NSF (PHY-9987541, EIA-0086038), by the ONR (N00014-00-1-0479), and by the Caltech MURI Center for Quantum Networks (DAAD19-00-1-0374).
Subject Keywords:magnetometers; shot noise; quantum optics
Record Number:CaltechAUTHORS:GERprl03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GERprl03
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.91.250801
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5541
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Oct 2006
Last Modified:26 Dec 2012 09:13

Repository Staff Only: item control page