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

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.

6 pages, 5 figures, references added

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• Distinguishability, degeneracy and correlations in three harmonically trapped bosons in one-dimension
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• Quenching small quantum gases: Genesis of the orthogonality catastrophe
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
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• Strongly interacting Bose-Fermi mixtures in one dimension
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• The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction
• Comparative study of quantum dynamics of a few bosons in a one-dimensional split hard-wall trap: exact results versus Bose-Hubbard-model approximations
• Breathing dynamics of the Bose polaron in a species-selective harmonic trap