Entanglement Control in an Electro-Optomechanical Ring Cavity

This article investigates the deterministic generation and coherent control of continuous-variable bipartite and tripartite entanglement within a multi-mirror electro-optomechanical ring cavity. The proposed architecture integrates radiation pressure with tunable Coulomb interactions, governed by external gate voltages, to establish quantum correlations between an intracavity optical field and a collective of four mechanical oscillators. We perform a rigorous stability analysis of the system, identifying the operational regimes across a broad range of free parameters, and evaluate the generation of tripartite entanglement within two distinct subsystems. Our numerical results demonstrate that while standard coherent driving combined with Coulomb coupling can generate entanglement, it is restricted to narrow detuning regions. In contrast, the introduction of squeezed light dramatically enhances quantum correlations, facilitating entanglement over a significantly wider range of normalized detuning without compromising the stability of the optomechanical system. A central finding is that the fixed charged body serves as a dynamic control parameter rather than a static component; by effectively tuning the mechanical susceptibility, it enables the generation of optomechanical entanglement that is both stronger and more resilient to thermal noise than the mechanical-mechanical entanglement mediated by direct Coulomb interaction. Furthermore, the external gate voltage provides a reliable mechanism for the continuous tuning of mechanical coupling strengths. From a practical perspective, the ability of the Coulomb coupling to act as a quantum switch for activating or suppressing entanglement suggests significant potential for quantum information control and state transfer within hybrid quantum architecture networks.