Extracting spin models in the Mott insulating regime for the Fermi-Hubbard model with laser coupling

Generation, storage, and utilization of correlated many-body quantumstates are crucial objectives of future quantum technologies andmetrology. Such states can be generated by the spin squeezing protocols,i.e., one-axis twisting and two-axis counter-twisting. In this work, weshow activation of these two squeezing mechanisms in a system composed ofultra-cold atomic fermions in the Mott insulating phase by aposition-dependent laser coupling of atomic internal states. We will alsoexplore surprising results under open boundary conditions in terms ofnon-vanishing effects on the thermodynamic limit.