Formation of NOON states from Fock-state Bose-Einstein condensates

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.053626· OSTI ID:21546839

Cable, H ^[1]; Laloee, F ^[2]; Mullin, W J ^[3]

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1. Centre for Quantum Technologies, National University of Singapore, Singapore 117543 (Singapore)
2. Laboratoire Kastler Brossel, ENS, UPMC, CNRS, 24 rue Lhomond, F-75005 Paris (France)
3. Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003 (United States)

States of the form |N>{sub a}|0>{sub b}+|0>{sub a}|N>{sub b}, where a and b are single-particle states--i.e., NOON states--have been used for predicting violations of local realism (Greenberger-Horne-Zeilinger violations) and are valuable in metrology for precision measurements of phase at the Heisenberg limit. We show theoretically how the use of two Fock-state Bose-Einstein condensates as sources in a modified Mach-Zehnder interferometer can lead to creation of the NOON state in which a and b refer to arms of the interferometer and N is a subset of the total number of particles in the two condensates. The modification of the interferometer involves making ''side'' measurements of a few particles near the sources. These measurements put the remaining particles in a superposition of two phase states, which are converted into NOON states by a beam splitter if the phase states are orthogonal. When they are not orthogonal, a ''feed-forward'' correction circuit is shown to convert them into proper form so that a NOON results. We apply the NOON to the measurement of phase. Here the NOON experiment is equivalent to one in which a large molecule passes through two slits. The NOON components can be recombined in a final beam splitter to show interference.

• OSTI ID: 21546839
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
BEAM SPLITTING
BOSE-EINSTEIN CONDENSATION
CORRECTIONS
FOCK REPRESENTATION
INTERFERENCE
INTERFEROMETERS
MACH-ZEHNDER INTERFEROMETER
MANY-BODY PROBLEM
MEASURING INSTRUMENTS
MOLECULES
PARTICLES
QUANTUM STATES