Observing Einstein-Podolsky-Rosen entanglement with ultracold atomic gases

The demonstration that our world is intrinsically non-local, through the investigation of the Einstein-Podolsky-Rosen paradox with optical beams, is one of the most important experiments performed in 20th century quantum physics. Such experiments have only been performed on photons, or massless particles traveling at the speed of light. In this proposal we aim to test this famous paradox, for the first time, with a macroscopic ensemble of massive particles. This would be a significant achievement not only from a fundamental perspective but also from an application viewpoint, since it has the potential to improve the sensitivity of future atom interferometers.