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

Highlights: • The thermal-magnetic properties of a synthetically charged interacting bosons in optical lattice are investigated. • The temperature dependence of the synthetic magnetization, magnetic susceptibility and the heat capacity are investigated. • Investigation of the interaction effect using Hartree -Fock approximation methodology. - Abstract: 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.