Testing of spin ordering Hamiltonian with ultracold atoms in optical lattices

Laser cooling and trapping are now widely used in atomic physics laboratory. Interestingly, cold atoms in optical lattices are now used in advanced research to mimic phenomena in condensed matter physics and also as a test laboratory for the models of these phenomena. It follows then that it is now possible and necessary to advance the atomic physics laboratory by including the use of ultracold atoms in optical lattices for instructional contents of phenomena in condensed matter physics. In this paper, we have proposed how to introduce into the atomic physics laboratory the study of quantum magnetism with cold atoms in a double well optical lattice. In particular, we demonstrates how to compare the theoretical parameters of a spin Hamiltonian model with those extracted from spin ordering experiment.