Entanglement of two distant Bose-Einstein condensates by detection of Bragg-scattered photons

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B. Deb
Department of Materials Science, and Raman Center for Atomic, Molecular and Optical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India

G. S. Agarwal
Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA

Received 11 March 2008; revised 20 June 2008; published 31 July 2008

Weshow that it is possible to generate entanglement between twodistant Bose-Einstein condensates by detection of Hanbury–Brown-Twiss-type correlations in photonsBragg scattered by the condensates. Upon coincident detection of twophotons by two detectors, the projected joint state of twocondensates is shown to be non-Gaussian. We verify the existenceof entanglement by showing that the partially transposed state isnegative. Further, we use the inequality in terms of higher-ordermoments to confirm entanglement. Our proposed scheme can be generalizedfor multiple condensates and also for spinor condensates with Braggscattering of polarized light, with the latter capable of producinghyperentanglement.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.78.013639
DOI:	10.1103/PhysRevA.78.013639
PACS:	03.75.Gg; 03.65.Ud; 32.80.-t; 42.50.Dv 03.75.Gg Entanglement and decoherence in Bose-Einstein condensates 03.65.Ud Entanglement and quantum nonlocality 32.80.-t Photoionization and excitation of atoms 42.50.Dv Quantum state engineering and measurements (quantum optics) YEAR: 2008
KEYWORDS:	Bose-Einstein condensation, light scattering, quantum entanglement, quantum optics

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