Nano-optomechanical control of entanglement in bilayer Graphene

We present a theoretical study on quantum entanglement generation in a hybrid nano-optomechanical system incorporating bilayer graphene. The analysis leverages coherent interactions among three distinct physical subsystems — optical (cavity photons), mechanical (vibrations), and electronic (excitations) — to generate robust quantum correlations across them. Employing phase-space analysis via the Wigner function, we characterize the system’s non-classical features and confirm the presence of genuine quantum coherence. Exploiting unique electronic properties of bilayer graphene, combined with optomechanical coupling, enable the formation of tunable entanglement channels. Our results reveal persistent quantum signatures in the Wigner distributions under cryogenic conditions, demonstrating resilience against decoherence. The interaction among optical, mechanical, and electronic modes facilitates both bipartite and tripartite entanglement, indicating strong potential for applications in hybrid quantum technologies. This work establishes a theoretical foundation for integrating two-dimensional materials with cavity optomechanical platforms, with implications for quantum information processing and precision metrology.