Bell’s experiment with intra- and inter-pair entanglement: Single-particle mode entanglement as a case study

Author(s): S. Ashhab, K. Maruyama, Č. Brukner, F. Nori

Journal: Phys. Rev. A

Volume: 80

Page(s): 062106

Year: 2009

DOI Number: 10.1103/PhysRevA.80.062106

Link: Link to publication


Theoretical considerations of Bell-inequality experiments usually assume identically prepared and

independent pairs of particles. Here we consider pairs that exhibit both intra- and inter-pair entanglement.

The pairs are taken from a large many-body system where all the pairs are generally

entangled with each other. Using an explicit example based on single mode entanglement and an

ancillary Bose-Einstein condensate, we show that the Bell-inequality violation in such systems can

display statistical properties that are remarkably different from those obtained using identically

prepared, independent pairs. In particular, one can have probabilistic violation of Bell’s inequalities in which a finite fraction of all the runs result in violation, even though there could be no violation when averaging over all the runs. Whether or not a particular run of results will end up being local realistically explainable is “decided” by a sequence of quantum (random) outcomes.


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