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

TL;DR

This study demonstrates a violation of a Bell-like inequality in a neutron system, confirming quantum entanglement between spin and energy degrees of freedom through a polarimetric experiment.

Contribution

The paper presents the first experimental violation of a Bell-like inequality for spin-energy entanglement in neutrons using a novel polarimetric setup.

Findings

Correlation function S = 2.333±0.005 exceeds the classical limit

Violation of Bell-like inequality by more than 66 standard deviations

Confirms quantum entanglement in neutron spin-energy states

Abstract

Violation of a Bell-like inequality for a spin-energy entangled neutron state has been confirmed in a polarimetric experiment. The proposed inequality, in Clauser-Horne-Shimony-Holt (CHSH) formalism, relies on correlations between the spin and energy degree of freedom in a single-neutron system. The entangled states are generated utilizing a suitable combination of two radio-frequency fields in a neutron polarimeter setup. The correlation function S is determined to be 2.333+/-0.005, which violates the Bell-like CHSH inequality by more than 66 standard deviations.