Quantum-limited metrology and Bose-Einstein condensates

Sergio Boixo, Animesh Datta, Matthew J. Davis, Anil Shaji, Alexandre B. Tacla, and Carlton M. Caves
Phys. Rev. A 80, 032103 – Published 4 September 2009

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.

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  • Received 12 June 2009

DOI:https://doi.org/10.1103/PhysRevA.80.032103

©2009 American Physical Society

Authors & Affiliations

Sergio Boixo1, Animesh Datta2,3, Matthew J. Davis4, Anil Shaji5,*, Alexandre B. Tacla5, and Carlton M. Caves5

  • 1Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125, USA
  • 2Institute for Mathematical Sciences, Imperial College, 53 Prince’s Gate, London SW7 2PG, United Kingdom
  • 3QOLS, The Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BW, United Kingdom
  • 4School of Mathematics and Physics, ARC Centre of Excellence for Quantum-Atom Optics, The University of Queensland, Queensland 4072, Australia
  • 5Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131-0001, USA

  • *shaji@unm.edu

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Issue

Vol. 80, Iss. 3 — September 2009

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