TY - JOUR
AB - 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.
AU - S. Ashhab
AU - Koji Maruyama
AU - Časlav Brukner
AU - Franco Nori
DA - 2009/12/08/
DO - 10.1103/PhysRevA.80.062106
JF - Phys. Rev. A
PY - 2009
SE - 2009/12/08/
SP - 062106
TI - Bell’s experiment with intra- and inter-pair entanglement: Single-particle mode entanglement as a case study
UR - https://arxiv.org/pdf/0911.0990
UR - https://doi.org/10.1103/PhysRevA.80.062106
VL - 80
ER -