Limits of validity for a semiclassical mean-field two-fluid model for Bose-Einstein condensation thermodynamics

Abstract

We reinvestigate the Bose-Einstein condensation (BEC) thermodynamics of a weakly interacting dilute Bose gas under the action of a trap using a semiclassical two-fluid mean-field model in order to find the domain of applicability of the model. Such a model is expected to break down once the condition of diluteness and weak interaction is violated. We find that this breakdown happens for values of coupling and density near the present experimental scenario of BEC. With the increase of the interaction coupling and density the model may lead to unphysical results for thermodynamic observables.

Five latex pages, four postscript figures, Accepted in Physica A

References in corpus (5)

• Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
• Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions
• Improved numerical approach for time-independent Gross-Pitaevskii nonlinear Schroedinger equation
• Stability analysis of the D-dimensional nonlinear Schroedinger equation with trap and two- and three-body interactions
• Bose-Einstein condensation thermodynamics of a trapped gas with attractive interaction

Cited by in corpus (4)

• Coupled Bose-Einstein condensate: Collapse for attractive interaction
• Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation
• Stability and collapse of a coupled Bose-Einstein condensate
• Stability and collapse of a hybrid Bose-Einstein condensate of atoms and molecules