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

Authors

HEND A. ABDEL-GANY
ALI Y. ELLITHI
ABDELHAMID A. GALAL
AHMED HASSAN

DOI

10.3906/fiz-1301-6

Abstract

In this paper, we suggest a conventional semiclassical approximation to calculate several thermodynamic quantities 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 the standard harmonic approximation of the deep optical lattice potential. The suggested approach is able to include the the finite size and the positive chemical potential effects simultaneously. The advantage of our suggested approach is in its simplicity, in comparison to the quantum-mechanical calculations (Bose-Hubbard model). Moreover, its generality allows the treatment of a finite temperature regime

Keywords

Bose-Einstein condensates in periodic potentials, semiclassical pproximation, Boson degeneracy in quantum fluids

First Page

39

Last Page

49

Recommended Citation

ABDEL-GANY, HEND A.; ELLITHI, ALI Y.; GALAL, ABDELHAMID A.; and HASSAN, AHMED (2014) "Thermodynamic properties of a rotating Bose-Einstein condensation in a deep optical lattice," Turkish Journal of Physics: Vol. 38: No. 1, Article 5. https://doi.org/10.3906/fiz-1301-6
Available at: https://journals.tubitak.gov.tr/physics/vol38/iss1/5