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Published September 2009 | public
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Quantum-limited metrology and Bose-Einstein condensates

Boixo, Sergio
Datta, Animesh
Davis, Matthew J.
Shaji, Anil
Tacla, Alexandre B.
Caves, Carlton M.
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Abstract

We discuss a quantum-metrology protocol designed to estimate a physical parameter in a Bose-Einstein condensate of N atoms, and we show that the measurement uncertainty can decrease faster than 1/N. The 1/N scaling is usually thought to be the best possible in any measurement scheme. From the perspective of quantum information theory, we outline the main idea that leads to a measurement uncertainty that scales better than 1/N. We examine in detail some potential problems and challenges that arise in implementing such a measurement protocol using a Bose-Einstein condensate. We discuss how some of these issues can be dealt with by using lower-dimensional condensates trapped in nonharmonic potentials.

Additional Information

© 2009 American Physical Society. Received 12 June 2009; published 4 September 2009. This work was supported in part by the U.S. Office of Naval Research under Grant No. N00014-07-1-0304, the Australian Research Council Discovery Project No. DP0343094, and the ARC Centre of Excellence for Quantum-Atom Optics. S.B. was supported by the National Science Foundation under Grant No. PHY-0803371 through the Institute for Quantum Information at the California Institute of Technology. A.D. was supported in part by the EPSRC under Grant No. EP/C546237/1, EPSRC QIP-IRC, EU Integrated Project QAP, and the EU STREP project HIP.

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