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

TL;DR

This paper presents a semiclassical Hartree-Fock theoretical analysis of the thermodynamics of rotating Bose-Einstein condensates with interactions, exploring effects of rotation, interactions, and finite size on key properties.

Contribution

It introduces a semiclassical Hartree-Fock framework to analyze thermodynamics of rotating BECs with interactions, including finite size effects.

Findings

Rotation and interaction parameters significantly influence condensate properties.

Derived thermodynamic quantities show dependence on rotation rate and interactions.

Finite size effects are discussed and incorporated into the model.

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.