Semiclassical Hartree-Fock theory of a rotating Bose-Einstein condensation

Abstract

In this paper, we investigate the thermodynamic behavior of a rotating Bose-Einstein condensation with non-zero interatomic interactions theoretically. The analysis relies on a semiclassical Hartree-Fock approximation where an integral is performed over the phase space and function of the grand canonical ensemble is derived. Subsequently, we use this result to derive several thermodynamic quantities including the condensate fraction, critical temperature, entropy and heat capacity. Thereby, we investigate the effect of the rotation rate and interactions parameter on the thermodynamic behavior. The role of finite size is discussed. Our approach can be extended to consider the rotating condensate in optical potential.

Quantitative semiclassical analysis of ultracold weakly interacting bose gas trapped in optical boxes

“…'s (15). Using the same procedure, one can also obtain results for the total number of particles N [30,31],…”

Hartree-Fock Approach for Rotating Bose-Einstein Condensation in One-dimensional Deep Optical Lattice

“…Following our procedure illustrated in our previous work [8] we have, (18) with = (19) and is the BEC transition temperature of a harmonically trapped nonrotating atoms. The parameter in Eq.…”

“…However, this wide range of applications makes the inclusion of interatomic interaction an essential requirement for the correct description of the system. In our previous work [8], we used the semiclassical Hartree-Fock approximation to investigate the interaction effect on the rotating condensate boson gas. In the present work, the relevant thermodynamic parameters of rotating BEC in a 1D deep optical lattice under realistic experimental condition will be calculated.…”