Multisetting protocol for Bell correlated states detection with spin-f systems

Abstract

We propose a multisetting protocol for the detection of two-body Bell correlations, and apply it to spin-nematic squeezed states realized in f pairs of SU(2) subsystems within spin-f atomic Bose-Einstein condensates. Experimental data for f=1, alongside with numerical simulations using the truncated Wigner method for f=1,\,2,\,3, demonstrate the effectiveness of the proposed protocol. Our findings extend the reach of multisetting Bell tests in ultracold atomic system, paving the way for extended quantum information processing in high-spin ensemble platforms.

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