Interaction effect on the magnetic properties of synthetically charged boson atoms in 2D deep optical lattice

In this paper, the interaction effect on the magnetic properties of synthetically charged boson atoms in 2D deep optical lattice are investigated. The analysis was made using the methodology of Hartree-Fock approximation for which an integral over phase-space is performed to calculate the accurate grand canonical thermo-magnetic potential. Subsequently, the grand potential is used to determine magnetic susceptibility, magnetization as well as the heat capacity at fixed magnetic field. Our approach provides a new approach to use optical potential to reach highly strong synthetic magnetic field. The outcome results provide a theoretical viewpoint for the experiment carried out by Bloch and his coworker.