Phase estimation in an atom interferometer with finite-resolution single-atom position measurements

Katarzyna Kowalczyk-Murynka
Phys. Rev. A 92, 023639 – Published 27 August 2015

Abstract

We conduct a detailed analysis of a phase estimation experiment with a Bose-Einstein condensate in a double potential well. Our goal is to confront the theoretical considerations with the conditions of a real experiment. We present a typical experimental procedure and the theoretical model. We simulate the estimation of phase between two modes in two cases: based on the full correlation function measurement for two atoms and on the center of mass position measurement for 20 atoms. We show that a lossless atom detection lets us exceed the shot noise (that is purely classical) limit of phase estimation precision with the currently available spatial resolution, while a few times higher resolution will make it possible to approach the highest precision allowed by quantum physics.

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  • Received 1 January 2015
  • Revised 20 June 2015

DOI:https://doi.org/10.1103/PhysRevA.92.023639

©2015 American Physical Society

Authors & Affiliations

Katarzyna Kowalczyk-Murynka

  • Center of Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, PL-02668 Warsaw, Poland

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Issue

Vol. 92, Iss. 2 — August 2015

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