Entanglement properties of degenerate four-wave mixing of matter waves in a periodic potential

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M. K. Olsen and M. J. Davis
ARC Centre of Excellence for Quantum-Atom Optics, School of Physical Sciences, University of Queensland, Brisbane Qld 4072, Australia

Received 27 January 2006; published 21 June 2006

Ina recent experiment, Campbell et al. [Phys. Rev. Lett. 96, 020406(2006)] observed degenerate four-wave mixing of matter waves in aone-dimensional optical lattice. We analyze the essential quantum features ofthe experiment to show that entanglement is created between thequadratures of the two scattered atomic clouds and is atrue many-body (rather than two-body) phenomenon. We demonstrate that well-knownbipartite entanglement inequalities are significantly violated and that this isrobust to a moderate level of coherent seeding. The systemis thus a promising candidate for generating spatially separated macroscopicallyentangled atomic samples.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.063618
DOI:	10.1103/PhysRevA.73.063618
PACS:	03.75.Kk; 03.65.Ud; 03.75.Gg; 03.75.Lm 03.75.Kk Dynamic properties of Bose-Einstein condensates; collective and hydrodynamic excitations, superfluid flow 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) 03.75.Gg Quantum entanglement and decoherence in Bose-Einstein condensates 03.75.Lm Josephson effect, tunneling, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations YEAR: 2006
KEYWORDS:	quantum entanglement, multiwave mixing, quantum optics

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