Paper Title
Thermo-Magnetic Properties of The Synthetically Charged Interacting Neutral Boson Atoms In 2D Deep Optical Lattice

Abstract
In this research, the thermo-magnetic properties of the synthetically charged interacting neutral boson atoms in 2D deep optical lattice are studied. The temperature dependence of the magnetization and magnetic susceptibility are investigated. The analysis relied on the Hartree-Fock approximation where an integral over the phase space is performed to calculate the accurate grand canonical thermo-magnetic potential. Subsequently, the grand potential is used to calculate the above mentioned parameters. Thereby, the effect of interaction- interaction and optical potential depth is considered. The obtained results provide important magnetic properties. Index Terms—Dynamic or Topological Ultracold Gases, Trapped Gases Diamagnetism, Paramagnetism, And Super-Paramagnetism.