Hartree-Fock treatment of the two-component Bose-Einstein condensate

TL;DR

This paper numerically investigates a two-component Bose-Einstein condensate using Hartree-Fock equations, revealing phase separation and phase diagrams across dimensions and parameters.

Contribution

It introduces a numerical Hartree-Fock approach to study binary Bose gases, highlighting symmetry breaking and phase transitions in different dimensions.

Findings

Symmetry breaking and phase separation in 2D Bose gases.

Phase diagram showing transitions from binary condensate to single condensate.

Dependence of phase behavior on temperature and interaction strength.

Abstract

We present a numerical study of a trapped binary Bose-condensed gas by solving the corresponding Hartree-Fock equations. The density profile of the binary Bose gas is solved with a harmonic trapping potential as a function of temperature in two and three dimensions. We find a symmetry breaking in the two dimensional case where the two condensates separate. We also present a phase diagram in the three dimensional case of the different regions where the binary condensate becomes a single condensate and eventually an ordinary gas as function of temperature and the interaction strength between the atoms.