arXiv subjects

Azza M. El-Badry

Publications and source records attributed to Azza M. El-Badry.

2 recordsLinked to original sources

arXiv2016

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

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.

cond-mat.quant-gas↗

arXiv2016

Temperature and interaction dependence of the moment of inertia of a rotating condensate boson gas

In this paper, a developed Hartree-Fock semiclassical approximation is used to calculate the temperature and interaction dependence of the moment of inertia of a rotating condensate Boson gas. A fully classical and quantum mechanical treatment for the moment of inertia are given in terms of the normalized temperature. We found that the moment of inertia is considerably affected by the interaction. The present analysis, shows that the superfluid effects in the moment of inertia of a condensate Boson gas can be observed at temperatures $T > .25 T_0 $ and not dramatically smaller than $T_0$.

cond-mat.quant-gas↗