Nonlinear interferometry with Bose-Einstein condensates
Abstract
We analyze a proposed experiment [Boixo et al., Phys. Rev. Lett. 101, 040403 (2008)] for achieving sensitivity scaling better than 1/N in a nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate (BEC) of N atoms. We present numerical simulations that confirm the analytical predictions for the effect of the spreading of the BEC ground-state wave function on the ideal 1/N^(3/2) scaling. Numerical integration of the coupled, time-dependent, two-mode Gross-Pitaevskii equations allows us to study the several simplifying assumptions made in the initial analytic study of the proposal and to explore when they can be justified. In particular, we find that the two modes share the same spatial wave function for a length of time that is sufficient to run the metrology scheme.
Additional Information
© 2010 American Physical Society. Received 9 August 2010; published 30 November 2010. This work was supported in part by the Office of Naval Research (Grant No. N00014-07-1-0304) and the National Science Foundation (Grants No. PHY-0903953 and No. PHY-0653596). 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 Engineering and Physical Sciences Research Council (Grant No. EP/H03031X/1) and the European Union Integrated Project (QESSENCE).Attached Files
Published - Tacla2010p12695Phys_Rev_A.pdf
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Additional details
- Eprint ID
- 22607
- Resolver ID
- CaltechAUTHORS:20110302-105500266
- Office of Naval Research (ONR)
- N00014-07-1-0304
- NSF
- PHY-0903953
- NSF
- PHY-0653596
- NSF/Caltech Institute for Quantum Information
- PHY-0803371
- Engineering and Physical Sciences Research Council (EPSRC)
- EP/H03031X/1
- European Union (EU)
- Created
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2011-03-03Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field