Thermodynamic properties of a rotating Bose Einstein condensation in a deep optical lattice

Özet

In this paper, we suggest a conventional semiclassical approximation to calculate several thermodynamicquantities of a rotating Bose– Einstein condensation in a deep optical lattice. Expressions for the condensation fraction,critical temperature, and heat capacity are derived analytically. These expressions are obtained by considering thestandard harmonic approximation of the deep optical lattice potential. The suggested approach is able to include thethe finite size and the positive chemical potential effects simultaneously. The advantage of our suggested approach is inits simplicity, in comparison to the quantum-mechanical calculations (Bose–Hubbard model). Moreover, its generalityallows the treatment of a finite temperature regime