Rotating ideal Fermi gases under a harmonic potential

We present a numerical analysis on thermodynamics of a harmonically trapped ideal Fermi gases subjected to either rotating frame or synthetic magnetic field. We discuss the rotation frequency dependency of chemical potential, specific heat, magnetization, particle flow and density profile. Our results demonstrate that the magnetization displays three characteristic regions: mesoscopic fluctuation, de Haas–van Alphen oscillation and Landau diamagnetism. The center and amplitude of oscillation peaks in particle flow in rotating frame exhibit much stronger dependence on rotation frequency than those in synthetic magnetic field.