Revealing EPR Steering and Bell Nonlocality via Local Filtering Operation in Fermi-Hubbard Model on Graphene Honeycomb Lattice
Hao Wang
Abstract In this paper, we study the dynamics of Bell nonlocality and quantum steering of Fermi-Hubbard model on graphene honeycomb lattice. In the model, Bell nonlocality and Einstein-Podolski-Rosen steering have been exactly solved with and without the local flltering operation (LFO). The influence of flnite temperature, on-site Coulomb repulsion, and nearest-neighbor repulsion on Bell nonlocality and quantum steerability is investigated. The equilibrium state established through the competition between nearest-neighbor and on-site Coulomb repulsions efiectively balances nonlocal quantum correlations. The interplay of these competing interactions drives the system toward a separable regime, wherein both Bell nonlocality and quantum steering violations are completely suppressed. Furthermore, the flltering process not only enhances the degree of quantum steering and Bell nonlocality but also contracts their operational range. These results will provide more theoretical guidance and greater practical signiflcance for the manipulation of Bell nonlocality and quantum steering within graphene systems.
Chinese Physics B•Mar 12, 2026•0 citations