AI 中文总结
研究与参数驱动波导耦合的发射器阵列的量子关联，用有效主方程分析二阶和三阶连接关联，发现可通过调整粒子间距离控制关联，稳态下二阶关联有非单调行为，三阶关联随压缩参数增强，为关联工程提供见解。
AI 中文摘要
与非线性一维波导耦合的量子发射器通过利用参数增益积累以及修改后的波导介导相互作用，为量子态工程提供了一条途径。由于积累的压缩取决于传播距离，不同的发射器间距会经历不同的有效增益，使得连接量子关联的空间结构成为动力学的核心特征。在此，我们研究了与参数驱动波导耦合的发射器阵列的瞬态和稳态连接关联。使用非线性波导量子电动力学的有效主方程，我们分析了二阶和三阶连接关联作为压缩参数和粒子间距离的函数。在双发射器极限下，积累的压缩驱动激发积累并产生非零的连接二阶关联。对于多发射器阵列，调整粒子间距离可在体区域和边界区域之间切换主导的局部二阶关联，并实现对真正三阶连接关联的类似空间控制。在稳态下，平均二阶关联在压缩 - 粒子间距离参数空间中表现出符号变化和非单调行为，而三阶连接关联通过增加压缩参数而强烈增强。这些结果确定非线性波导量子电动力学是用于空间控制连接量子关联的可调平台，并为开放量子光学阵列中的关联工程提供了见解。我们进一步表明，这种局部对比度在奇数和偶数原子阵列中均可见。
英文摘要
Quantum emitters coupled to nonlinear one-dimensional waveguides provide a route for quantum-state engineering by utilizing parametric gain accumulation along with modified waveguide-mediated interactions. Since the accumulated squeezing depends on propagation distance, different emitter separations can experience different effective gain, making the spatial structure of connected quantum correlations a central feature of the dynamics. Here we investigate the transient and steady-state connected correlations of emitter arrays coupled to a parametrically driven waveguide. Using an effective master equation for nonlinear waveguide QED, we analyze second- and third-order connected correlations as functions of the squeezing parameter and interparticle distance. In the two-emitter limit, accumulated squeezing drives excitation buildup and generates a nonzero connected second-order correlation. For many-emitter arrays, tuning the interparticle distance switches the dominant local second-order correlation between the bulk and boundary regions, and enables an analogous spatial control of genuine third-order connected correlations. In the steady state, the averaged second-order correlation exhibits sign-changing and nonmonotonic behavior in the squeezing--interparticle distance parameter space, whereas the third-order connected correlation is strongly enhanced by increasing the squeezing parameter. These results identify nonlinear waveguide QED as a tunable platform for spatially controlling connected quantum correlations and provide insights into correlation engineering in open quantum optical arrays. We further show that this local contrast remains visible in both odd and even number of atomic arrays.
Comments12 pages, 6 figures
