Proposal for a motional-state Bell inequality test with ultracold atoms

R. J. Lewis-Swan, K. V. Kheruntsyan
2015 Physical Review A. Atomic, Molecular, and Optical Physics  
We propose and theoretically simulate an experiment for demonstrating a motional-state Bell inequality violation for pairs of momentum-entangled atoms produced in Bose-Einstein condensate collisions. The proposal is based on realizing an atom-optics analog of the Rarity-Tapster optical scheme: it uses laser-induced Bragg pulses to implement two-particle interferometry on the underlying Bell-state for two pairs of atomic scattering modes with equal but opposite momenta. The collision dynamics
more » ... llision dynamics and the sequence of Bragg pulses are simulated using the stochastic Bogoliubov approach in the positive-P representation. We predict values of the Clauser-Horne-Shimony-Holt (CHSH) parameter up to S~2.5 for experimentally realistic parameter regimes, showing a strong violation of the CSHS-Bell inequality bounded classically by S<2.
doi:10.1103/physreva.91.052114 fatcat:c3spbtnpxzfupfzryi7usbe5em