Non-locality of two ultracold trapped atoms

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Abstract

We undertake a detailed analysis of the non-local properties of the fundamental problem of two trapped, distinguishable neutral atoms that interact with a short-range potential characterized by an s-wave scattering length. We show that this interaction generates continuous variable (CV) entanglement between the external degrees of freedom of the atoms and consider its behaviour as a function of both, the distance between the traps and the magnitude of the inter-particle scattering length. We first quantify the entanglement in the ground state of the system at zero temperature and then, adopting a phase-space approach, test the violation of the Clauser-Horn-Shimony-Holt inequality at zero and non-zero temperature and under the effects of general dissipative local environments. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.

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Fogarty, T., Busch, T., Goold, J., & Paternostro, M. (2011). Non-locality of two ultracold trapped atoms. New Journal of Physics, 13. https://doi.org/10.1088/1367-2630/13/2/023016

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