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26 April 2024

» arxiv » 1204.0058

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Violation of the Cauchy-Schwarz inequality with matter waves
K. V. Kherunstyan ; J.-C. Jaskula ; P. Deuar ; M. Bonneau ; G. B. Partridge ; J. Ruaudel ; R. Lopes ; D. Boiron ; C. I. Westbrook ;
Date:	31 Mar 2012
Abstract:	The Cauchy-Schwarz (CS) inequality -- one of the most widely used and important inequalities in mathematics -- can be formulated as an upper bound to the strength of correlations between classically fluctuating quantities. Quantum mechanical correlations can, however, exceed classical bounds.Here we realize four-wave mixing of atomic matter waves using colliding Bose-Einstein condensates, and demonstrate the violation of a multimode CS inequality for atom number correlations in opposite zones of the collision halo. The correlated atoms have large spatial separations and therefore open new opportunities for extending fundamental quantum-nonlocality tests to ensembles of massive particles.
Source:	arXiv, 1204.0058
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