We study the dynamical behavior of ultracold fermionic atoms loaded into an optical lattice under the presence of an effective magnetic flux, induced by spin-orbit-coupled laser driving. At half-filling, the resulting system can emulate a variety of iconic spin-1/2 models such as an Ising model, an $XY$ model, a generic $XXZ$ model with arbitrary anisotropy, or a collective one-axis twisting model. The validity of these different spin models is examined across the parameter space of flux and driving strength. In addition, there is a parameter regime where the system exhibits chiral, persistent features in the long-time dynamics. We explore these properties and discuss the role played by the system's symmetries. We also discuss experimentally viable implementations.

中文翻译：

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光学晶格中具有自旋轨道耦合费米子的可调谐自旋模型生成

我们研究了在自旋轨道耦合激光驱动引起的有效磁通量的存在下，加载到光学晶格中的超冷亚铁原子的动力学行为。半填充时，生成的系统可以模拟各种标志性的spin-1 / 2模型，例如Ising模型，$Xÿ$ 模型，通用 $XXž$具有任意各向异性的模型或集体单轴扭曲模型。在磁通量和驱动强度的参数空间中检查了这些不同的自旋模型的有效性。此外，还有一个参数范围，其中系统在长期动力学中表现出手性，持久性特征。我们探索这些属性，并讨论系统对称性所起的作用。我们还将讨论实验可行的实现。