AI 中文总结
研究利用有源机械晶格实现可调非阿贝尔规范场，通过实时测量和反馈设计自旋相关耦合，提取威尔逊圈可观测量。还利用晶格可控性探索非厄米非阿贝尔规范势，展示其在不同维度晶格中的表现，为探测相关领域提供了可编程平台。
AI 中文摘要
非阿贝尔规范场在描述粒子行为中起着关键作用，粒子运动与内部自由度（如自旋）耦合。本文通过使用振荡器对为每个位点编码局部伪自旋，并通过实时测量和反馈设计位点间自旋相关耦合，在有源机械晶格中实验实现了可调非阿贝尔规范场。实验提取了威尔逊圈可观测量，证明能创建真正的非阿贝尔规范场。利用机械晶格可控性设计非互易跳跃来探索非厄米非阿贝尔规范势。在二维晶格中，非厄米性可在单个格子的方向依赖威尔逊圈中体现；在一维系统中，非阿贝尔规范势可切换非厄米趋肤模式在链两端的定位。该工作将有源机械晶格建立为探测非阿贝尔规范场及其与非厄米动力学相互作用的灵活可编程平台。
英文摘要
Non-Abelian gauge fields play a key role in describing the behavior of particles whose motion is coupled to internal degrees of freedom, such as their spin. Here, we experimentally realize a tuneable non-Abelian gauge field in an active mechanical lattice by using pairs of oscillators to encode a local pseudo-spin for each site, with inter-site spin-dependent couplings engineered via real-time measurement and feedback. We experimentally extract Wilson-loop observables in our set-up and hence demonstrate that we can create a genuinely non-Abelian gauge field. We then exploit the controllability of our mechanical lattice to engineer non-reciprocal hoppings to explore non-Hermitian non-Abelian gauge potentials. For a two-dimensional (2D) lattice, we demonstrate that the non-Hermiticity can manifest in direction-dependent Wilson loops for a single plaquette, while for a one-dimensional (1D) system, we show that a non-Abelian gauge potential can switch the localization of non-Hermitian skin modes between opposite ends of a chain. Our work establishes active mechanical lattices as a flexible and programmable platform for probing non-Abelian gauge fields and exploring their interplay with non-Hermitian dynamics.
Comments7 Pages, 3 figures
