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

TL;DR

This paper introduces a multisetting protocol to detect Bell correlations in high-spin atomic systems, demonstrating its effectiveness through experimental data and simulations, and expanding quantum information capabilities in ultracold atoms.

Contribution

The paper presents a novel multisetting Bell correlation detection protocol applicable to spin-$f$ systems, with experimental validation and simulations for multiple spin values.

Findings

Protocol successfully detects Bell correlations in spin-$f$ systems.

Experimental data confirms effectiveness for $f=1$.

Simulations show applicability for $f=1,2,3$.

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.