Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field

We have analytically explored the artificial magnetism for a 3D spin-polarized harmonically trapped ideal Fermi gas of electrically neutral particles exposed to a uniform synthetic magnetic field. Though polarization of the spin is necessary for trapping electrically neutral atoms in a magneto-optical trap, Pauli paramagnetism can not be studied for the spin-polarized Fermi system. However, it is possible to study Landau diamagnetism and de Haas-van Alphen effect for such a system. We have unified the artificial Landau diamagnetism and the artificial de Haas-van Alphen effect in a single framework for all temperatures as well as for all possible magnitudes of the synthetic magnetic field in the thermodynamic limit. Our prediction is testable in the present-day experimental setup for ultracold fermionic atoms in magneto-optical trap.

Automated summary

We have analytically explored the effects of a synthetic magnetic field on a 3D spin-polarized trapped Fermi gas of electrically neutral particles. While spin polarization is necessary for trapping neutral atoms in a magneto-optical trap, the study of Pauli paramagnetism is not possible for a spin-polarized Fermi system. However, we can study Landau diamagnetism and de Haas-van Alphen effect for this system. Our unified framework allows for the study of these effects at all temperatures and magnitudes of the synthetic magnetic field in the thermodynamic limit. This prediction can be tested using current experimental setups for ultracold fermionic atoms in magneto-optical traps.