AI 中文总结
本研究在电光机械环形腔中，利用库仑耦合机械谐振器产生 bipartite 和 tripartite 纠缠，通过 OPA 增强纠缠，明确了参数优化与低温运行的必要性，为量子技术多体纠缠控制提供了指导。
AI 中文摘要
本研究探究电光机械环形腔系统中量子纠缠的产生与增强。该装置集成了两个库仑耦合的机械谐振器，它们是通过电荷介导耦合产生 bipartite 和 tripartite 纠缠的基础机制。随后，我们展示了通过非线性参量驱动（光参量放大器，OPA）可显著增强该纠缠，OPA 向腔中注入可控的非线性。我们推导了系统的哈密顿量及对应的量子朗之万方程，将其在稳态解附近线性化以分析高斯量子涨落。采用协方差矩阵形式，我们通过对数负性量化 bipartite 纠缠，通过最小剩余纠缠量化 tripartite 纠缠。我们的结果明确表明，尽管库仑相互作用是产生纠缠所不可或缺的，但 OPA 是强大的控制工具，可显著放大所有子系统的量子关联程度。我们发现纠缠强度对多个参数高度敏感，可通过合理选择 OPA 的增益和相位、激光失谐量及输入功率进行优化。一项关键发现是存在权衡关系：使纠缠最大化的参数也会限制系统的稳定工作区域。此外，热噪声会逐渐降低所有量子关联，凸显了低温运行的必要性。这些发现为参数优化提供了全面指导，勾勒出从产生到增强的清晰路径，并强调此类混合系统作为量子技术中控制多体纠缠的通用平台的潜力。
英文摘要
This study investigates the generation and enhancement of quantum entanglement in an electro-optomechanical ring cavity system. The setup integrates two Coulomb-coupled mechanical resonators, which serve as the fundamental mechanism for the generation of bipartite and tripartite entanglement via charge mediated coupling. We then demonstrate the significant enhancement of this entanglement via a nonlinear parametric drive (an optical parametric amplifier, OPA), which injects a controllable nonlinearity into the cavity. We derive the system's Hamiltonian and the corresponding quantum Langevin equations, which are linearized around steady-state solutions to analyze Gaussian quantum fluctuations. Employing the covariance matrix formalism, we quantify bipartite entanglement via logarithmic negativity and tripartite entanglement via the minimum residual contangle. Our results unequivocally show that while the Coulomb interaction is indispensable for creating entanglement, the OPA acts as a powerful control tool, dramatically amplifying the degree of quantum correlations for all subsystems. We find that the strength of entanglement is highly sensitive to several parameters and can be optimized through the strategic selection of the OPA's gain and phase, the laser detuning, and the input power. A key finding is the existence of a trade-off, where parameters that maximize entanglement also constrain the stable operating regime of the system. Furthermore, thermal noise is shown to progressively degrade all quantum correlations, underscoring the necessity for low-temperature operation. These findings provide comprehensive guidance for parameter optimization, outlining a clear path from generation to enhancement, and highlight the potential of such hybrid systems as versatile platforms for controlling multipartite entanglement in quantum technologies.
CommentsAccepted in Pramana Journal of Physics
