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Violation of a Bell-like inequality for a spin-energy entangled neutron statehas been confirmed in a polarimetric experiment. The proposed inequality, inClauser-Horne-Shimony-Holt (CHSH) formalism, relies on correlations between thespin and energy degree of freedom in a single-neutron system. The entangledstates are generated utilizing a suitable combination of two radio-frequencyfields in a neutron polarimeter setup. The correlation function S is determinedto be 2.333+/-0.005, which violates the Bell-like CHSH inequality by more than66 standard deviations.

Violation of Bell-like Inequality for spin-energy entanglement in neutron polarimetry