@article{12163, author = {Mikhail Mamaev and Itamar Kimchi and Rahul Nandkishore and Ana Maria Rey}, title = {Tunable-spin-model generation in spin-orbital coupled fermions in optical lattices}, abstract = {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.}, year = {2021}, journal = {Physical Review Research}, volume = {3}, pages = {013178}, month = {2021-02}, url = {https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.013178}, doi = {10.1103/PhysRevResearch.3.013178}, }