We discuss a strongly entangled two-particle state of motion that emergesnaturally from the double-pulse dissociation of a diatomic molecule. Thisstate, which may be called dissociation-time entangled, permits the unambiguousdemonstration of non-classical correlations by violating a Bell inequalitybased on switched single particle interferometry and only positionmeasurements. We apply time-dependent scattering theory to determine thedetrimental effect of dispersion. The proposed setup brings into reach thepossibility of establishing non-classical correlations with respect to systemproperties that are truly macroscopically distinct.
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