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Violation of the Cauchy-Schwarz inequality with matter waves

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.
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Submitted on : Tuesday, June 26, 2012 - 11:38:41 AM
Last modification on : Monday, November 23, 2020 - 12:52:03 PM

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K. V. Kheruntsyan, Jean-Christophe Jaskula, P. Deuar, Marie Bonneau, Guthrie B. Partridge, et al.. Violation of the Cauchy-Schwarz inequality with matter waves. Physical Review Letters, American Physical Society, 2012, 108, pp.260401. ⟨10.1103/PhysRevLett.108.260401⟩. ⟨hal-00712023⟩



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