Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100080, P.R. China
Corresponding author: a firstname.lastname@example.org
Revised: 6 November 2008
Published online: 20 December 2008
We study ground-state properties of interacting two-component boson gases in a one-dimensional harmonic trap by using the exact numerical diagonalization method. Based on numerical solutions of many-body Hamiltonians, we calculate the ground-state density distributions in the whole interaction regime for different atomic number ratio, intra- and inter-atomic interactions. For the case with equal intra- and inter-atomic interactions, our results clearly display the evolution of density distributions from a Bose condensate distribution to a Fermi-like distribution with the increase of the repulsive interaction. Particularly, we compare our result in the strong interaction regime to the exact result in the infinitely repulsive limit which can be obtained by a generalized Bose-Fermi mapping. We also discuss the general case with different intra- and inter-atomic interactions and show the rich configurations of the density profiles.
PACS: 03.75.Mn – Multicomponent condensates; spinor condensates / 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties / 67.60.Bc – Boson mixtures
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009