Entanglement Generation and Control via Photon Tunneling in a Hybrid L-G Cavity-Magnon-Phonon System

We propose and analyze a hybrid quantum system consisting of an L-G cavity coupled to an auxiliary cavity containing a YIG sphere, mediated by photon tunneling and magnon-photon interactions. Using numerical simulations, we investigate the entanglement dynamics of bipartite and tripartite subsystems under varying parameters, including detunings, mirror mass, cavity-cavity coupling, cavity-magnon coupling, angular momentum, and temperature. Our results demonstrate that directly coupled modes exhibit stronger entanglement, while higher angular momentum enhances thermal robustness. Tripartite entanglement is optimized by tuning detunings and couplings, though increased cavity-cavity coupling redistributes entanglement, affecting direct interactions. These findings provide insights into designing hybrid quantum systems for applications in quantum information processing and multi-mode quantum networks.