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Bell Nonlocality Linked to Integrability in Many-Body Quantum Systems

Maximal violation of Bell inequalities in many-body 3-level systems yields Bell operators with Poissonian level statistics—unexpectedly signaling integrability. This order is fragile: minor measurement deviations trigger Wigner-Dyson chaos statistics.

#BellNonlocality #QuantumChaos #Integrability

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