Synthetic dimensions, wherein dynamics occurs in a set of internal states, have found great success in recent years in exploring topological effects in cold atoms and photonics. However, the phenomena thus far explored have largely been restricted to the non-interacting or weakly interacting regimes. Here, we extend the synthetic dimensions playbook to strongly interacting systems of Rydberg atoms prepared in optical tweezer arrays. We use precise control over driving microwave fields to introduce a tunable U(1) flux in a four-site lattice of coupled Rydberg levels. We find highly coherent dynamics, in good agreement with theory. Single atoms show oscillatory dynamics controllable by the gauge field. Small arrays of interacting atoms exhibit behavior suggestive of the emergence of ergodic and arrested dynamics in the regimes of intermediate and strong interactions, respectively. These demonstrations pave the way for future explorations of strongly interacting dynamics and many-body phases in Rydberg synthetic lattices.

合成维度（其中动力学发生在一组内部状态）近年来在探索冷原子和光子学中的拓扑效应方面取得了巨大成功。然而，迄今为止探索的现象很大程度上仅限于非相互作用或弱相互作用的体系。在这里，我们将合成维度手册扩展到在光镊阵列中制备的里德伯原子的强相互作用系统。我们使用对驱动微波场的精确控制，在耦合里德伯能级的四位晶格中引入可调谐的U (1) 通量。我们发现高度相干的动力学，与理论非常一致。单原子表现出可由规范场控制的振荡动力学。相互作用的原子的小阵列表现出的行为表明分别在中间和强相互作用的状态下出现遍历和停滞动力学。这些演示为未来探索里德堡合成晶格中的强相互作用动力学和多体相铺平了道路。