Journal
FRONTIERS OF PHYSICS
Volume 7, Issue 1, Pages 72-85Publisher
HIGHER EDUCATION PRESS
DOI: 10.1007/s11467-011-0233-9
Keywords
entanglement; quantum nonlocality; multi-particle; two-well Bose-Einstein condensates (BEC)
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Funding
- Humboldt Foundation
- Heidelberg University
- Australian Research Council via AQUAO
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Entanglement, the Einstein-Podolsky-Rosen (EPR) paradox and Bell's failure of local-hiddenvariable (LHV) theories are three historically famous forms of quantum nonlocality. We give experimental criteria for these three forms of nonlocality in multi-particle systems, with the aim of better understanding the transition from microscopic to macroscopic nonlocality. We examine the nonlocality of N separated spin J systems. First, we obtain multipartite Bell inequalities that address the correlation between spin values measured at each site, and then we review spin squeezing inequalities that address the degree of reduction in the variance of collective spins. The latter have been particularly useful as a tool for investigating entanglement in Bose-Einstein condensates (BEC). We present solutions for two topical quantum states: multi-qubit Greenberger-Horne-Zeilinger (GHZ) states, and the ground state of a two-well BEC.
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