Thermodynamic properties of a rotating Bose-Einstein condensation in a 2D optical lattice

In this paper, we consider the thermodynamic properties of a rotating Bose-Einstein condensation in a 2D optical lattice. A modified semiclassical approximation is suggested to calculate the condensate fraction, the transition temperature and the heat capacity. Our approach provides a consistent picture for the role of the optical potential and the rotation rate on the temperature dependence for the thermodynamic properties. The outcome results furnish useful qualitatively theoretical results for the future BEC experiments in such traps.