TY - JOUR AU - Mikhail Mamaev AU - Itamar Kimchi AU - Rahul Nandkishore AU - Ana Maria Rey AB - 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. BT - Physical Review Research DA - 2021-02 DO - 10.1103/PhysRevResearch.3.013178 N2 - 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. PY - 2021 EP - 013178 T2 - Physical Review Research TI - Tunable-spin-model generation in spin-orbital coupled fermions in optical lattices UR - https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.013178 VL - 3 ER -