Testing of spin ordering Hamiltonian with ultracold atoms in optical lattices

TL;DR

This paper proposes using ultracold atoms in optical lattices to experimentally study quantum magnetism and compare observed spin ordering with theoretical models, enhancing atomic physics labs with condensed matter phenomena.

Contribution

It introduces a method to incorporate the study of spin Hamiltonians and quantum magnetism into atomic physics laboratories using cold atoms in double well optical lattices.

Findings

Demonstrates how to compare theoretical spin Hamiltonian parameters with experimental data.

Proposes a practical setup for studying quantum magnetism with ultracold atoms.

Bridges atomic physics experiments with condensed matter physics models.

Abstract

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.