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| HAL: hal-00712023, version 1 |
| arXiv: 1204.0058 |
| DOI: 10.1103/PhysRevLett.108.260401 |
| Detailed view |  Export this paper |
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| Physical Review Letters 108 (2012) 260401 |
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| Violation of the Cauchy-Schwarz inequality with matter waves |
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| K. V. Kheruntsyan 1Jean-Christophe Jaskula 2 |
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| (2012-06-25) |
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| 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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| 1: | Centre of excellence for quantum atom optics (ARC) |
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University of Queensland |
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| 2: | Laboratoire Charles Fabry (LCF) |
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Institut d'Optique Graduate School (IOGS) – CNRS : UMR8501 – Université Paris XI - Paris Sud |
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| 3: | Institut of Physics |
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Polish Academy of Sciences |
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| lcf-oa |
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| subject | : | Physics/Condensed Matter/Quantum Gases Physics/Quantum Physics |
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| matter waves – Cauchy Schwarz inequality – Bose-Einstein condensate |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/1204.0058 |
| hal-00712023, version 1 | |
| http://hal-iogs.archives-ouvertes.fr/hal-00712023 | |
| oai:hal-iogs.archives-ouvertes.fr:hal-00712023 | |
| From: Christoph I Westbrook | |
| Submitted on: Tuesday, 26 June 2012 11:38:41 | |
| Updated on: Wednesday, 27 June 2012 13:49:13 | |
