Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap

Abstract

We propose the density-functional theory for one-dimensional harmonically trapped spin-1 bosons in the ground state with repulsive density-density interaction and anti-ferromagnetic spin-exchange interaction. The density distributions of spin singlet paired bosons and polarized bosons with different total polarization for various interaction parameters are obtained by solving the Kohn-Sham equations which are derived based on the local density approximation and the Bethe ansatz exact results for homogeneous system. Non-monotonicity of the central densities is attributed to the competition between the density interaction and spin-exchange. The results reveal the phase separation of the paired and polarized bosons, the density profiles of which respectively approach the Tonks-Girardeau gases of Bose-Bose pairs and scalar bosons in the case of strong interaction. We give the R-P phase diagram at strong interaction and find the critical polarization, which paves the way to direct observe the exotic singlet pairing in spinor gas experimentally.

12 pages, 10 figures, submitted

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Cited by in corpus (7)

• One-dimensional mixtures of several ultracold atoms: a review
• The Hubbard Dimer: A density functional case study of a many-body problem
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension
• The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction