Thermodynamic properties of rotating trapped ideal Bose gases

•Numerical results of rotating trapped Bose gases are presented.•BEC temperature decreases with increasing rotating frequency or synthetic field.•BEC can be more easily suppressed in rotating frame than in synthetic field.•Corrected magnetization coincides with our established intuition.•Condensate fraction and specific heat have similar behaviors as non-rotating case.

Ultracold atomic gases can be spined up either by confining them in rotating frame, or by introducing “synthetic” magnetic field. In this paper, thermodynamics of rotating ideal Bose gases are investigated within truncated-summation approach which keeps to take into account the discrete nature of energy levels, rather than to approximate the summation over single-particle energy levels by an integral as it does in semi-classical approximation. Our results show that Bose gases in rotating frame exhibit much stronger dependence on rotation frequency than those in “synthetic” magnetic field. Consequently, BEC can be more easily suppressed in rotating frame than in “synthetic” magnetic field.