Bose-Einstein condensation thermodynamics of a trapped gas with attractive interaction

Abstract

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the Gross-Pitaevskii equation. By solving the system of coupled equations of this model iteratively we obtain converged results for the temperature dependencies of the condensate fraction, chemical potential, and internal energy for the Bose-Einstein condensate of ${}^7$Li atoms.

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

References in corpus (5)

• Bose-Einstein Condensation of Atomic Hydrogen
• 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
• Bose-Einstein condensation in a one-dimensional interacting system due to power-law trapping potentials

Cited by in corpus (6)

• Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions
• 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
• Limits of validity for a semiclassical mean-field two-fluid model for Bose-Einstein condensation thermodynamics