Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap

TL;DR

This paper investigates the ground-state properties of two-component Bose gases in a one-dimensional harmonic trap, revealing how density distributions evolve with interaction strength using exact numerical methods.

Contribution

It provides a comprehensive numerical analysis of density profiles across interaction regimes, including the transition from Bose to Fermi-like distributions and the effects of unequal intra- and inter-atomic interactions.

Findings

Density distributions evolve from Bose condensate to Fermi-like with increasing repulsion.

Exact results in the strong interaction limit match generalized Bose-Fermi mapping predictions.

Rich density configurations occur when intra- and inter-atomic interactions differ.

Abstract

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.