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G'day all,
I have just placed a new pre-print on continuous variable entanglement
criteria that may be applied in an atom-optics setting. Notably, we do
not rely on coherent states in order to perform homodyne measurements.
Margaret Reid has agreed to read through, but we welcome all comments!
Thanks,
Andy
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Homodyne measurements and detection of continuous variable entanglement
with mesoscopic numbers of bosons
Andy Ferris, Eric Cavalcanti, Murray Olsen and Matt Davis
Abstract:
We derive inequalities to demonstrate continuous variable entanglement
in many-particle systems when the quantum nature of the phase reference
cannot be ignored. In particular, we generalize the results of L. M.
Duan et al. [Phys. Rev. Lett. 84, 2722 (2000)] and R. Simon [Phys. Rev.
Lett 84, 2726 (2000)] on inseparability of the density matrix, and the
results of M. D. Reid [Phys. Rev. A 40, 913 (1989)] on the
Einstein-Podolsky-Rosen (EPR) paradox to situations when the local
oscillator is neither large nor coherent. Our results are applicable to
experiments to detect the existence of entanglement in dilute gas
Bose-Einstein condensates and in quantum optics experiments with small
photon numbers. We find that ignoring the quantum nature of the local
oscillator can result in either falsely identified entanglement, or
failure to identify entanglement in the measured correlations. A
numerical simulation illustrates the use of these criteria in systems of
100 and 1000 particles, and shows that Poissonian number fluctuations do
not diminish the measure of entanglement.
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