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Pré-Publication, Document De Travail Année : 2010

Creation of NOON states by double Fock-state/Bose-Einstein condensates

W. Mullin
  • Fonction : Auteur
Franck Laloë
  • Fonction : Auteur
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Résumé

NOON states (states of the form $|N>_{a}|0>_{b}+|0>_{a}|N>_{b}$ where $a$ and $b$ are single particle states) have been used for predicting violations of hidden-variable theories (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 Zender interferometer can lead to the creation of the NOON state in which $a$ and $b$ refer to arms of the interferometer and $N$ is the total number of particles in the two condensates. The modification of the interferometer involves making conditional ``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. The result is equivalent to the quantum experiment in which a large molecule passes through two slits. The NOON states are combined in a final beam splitter and show interference. Attempts to detect through which ``slit'' the condensates passed destroys the interference.

Dates et versions

hal-00492737 , version 1 (16-06-2010)

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Citer

W. Mullin, Franck Laloë. Creation of NOON states by double Fock-state/Bose-Einstein condensates. 2010. ⟨hal-00492737⟩
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