Violation of the Cauchy-Schwarz inequality with matter waves

Details Violation of the Cauchy-Schwarz inequality with matter waves Violation of the Cauchy-Schwarz inequality with matter waves

2012-03-31

arxiv.org/abs/1204.0058v2

Physics

Quantum Physics

4 pages, 3 figures, plus Supplementary material in PDF. Corrected spelling of the first author's name in v.2

Scientific paper

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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