Classically Forbidden Signatures of Quantum Coherence in the Mesoscopic Lipkin-Meshkov-Glick Model
This paper establishes strict quantitative conditions and demonstrates via simulation that a mesoscopic spinor Bose-Einstein condensate of approximately 370 spins near the Lipkin-Meshkov-Glick critical point can exhibit classically forbidden temporal correlations, specifically through an exponentially suppressed Landau-Zener error rate and a Leggett-Garg inequality violation (K_3 ~ 1.32), both robust against realistic dephasing due to emergent collective symmetry and dynamical phase alignment.