### Abstract

Theoretical considerations of Bell-inequality experiments usually assume identically prepared and independent pairs of particles. Here we consider pairs that exhibit both intrapair and interpair 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.

Original language | English |
---|---|

Article number | 062106 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 80 |

Issue number | 6 |

DOIs | |

Publication status | Published - 8 Dec 2009 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*80*(6), [062106]. https://doi.org/10.1103/PhysRevA.80.062106

**Bell's experiment with intra- and inter-pair entanglement : Single-particle mode entanglement as a case study.** / Ashhab, Sahel; Maruyama, Koji; Brukner, Časlav; Nori, Franco.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 80, no. 6, 062106. https://doi.org/10.1103/PhysRevA.80.062106

}

TY - JOUR

T1 - Bell's experiment with intra- and inter-pair entanglement

T2 - Single-particle mode entanglement as a case study

AU - Ashhab, Sahel

AU - Maruyama, Koji

AU - Brukner, Časlav

AU - Nori, Franco

PY - 2009/12/8

Y1 - 2009/12/8

N2 - Theoretical considerations of Bell-inequality experiments usually assume identically prepared and independent pairs of particles. Here we consider pairs that exhibit both intrapair and interpair 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.

AB - Theoretical considerations of Bell-inequality experiments usually assume identically prepared and independent pairs of particles. Here we consider pairs that exhibit both intrapair and interpair 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.

UR - http://www.scopus.com/inward/record.url?scp=71849116856&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71849116856&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.80.062106

DO - 10.1103/PhysRevA.80.062106

M3 - Article

AN - SCOPUS:71849116856

VL - 80

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 6

M1 - 062106

ER -