The particle flow oscillations of rotating non-interacting gases in a two-dimensional harmonic trap

• Oscillations of particle flow in rotating trapped gases are comprehensively studied.
• Fermions exhibit de Haas–van Alphen-like oscillation at low temperature.
• Rotating fermions can be easily used to illustrate magnetic properties of confined electrons.
• Diamagnetism of bosons increases with increasing rotation frequency.
• Characteristic dependency of magnetization on temperature is reflected in particle flow.

The spatial distribution of particle flow and atomic density of the two-dimensional, harmonically trapped, ideal atomic gases in synthetic magnetic field and rotating frame are systematically investigated in various regimes of temperature. The magnetization and particle flow of rotating fermions exhibit a de Haas–van Alphen-like oscillation at relatively low temperature. This phenomenon is analogous to the quantum oscillation of orbital magnetism and current in confined electron system. An elaborate comparison with Bose system is also proposed.