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Journal Articles Physical Review Letters Year : 2012

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.

Dates and versions

hal-00712023 , version 1 (26-06-2012)

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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, 2012, 108, pp.260401. ⟨10.1103/PhysRevLett.108.260401⟩. ⟨hal-00712023⟩
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