The asymptotic Bethe ansatz solution for one-dimensional SU(2) spinor bosons with finite range Gaussian interactions

Abstract

We propose a one-dimensional model of spinor bosons with SU(2) symmetry and a two-body finite range Gaussian interaction potential. We show that the model is exactly solvable when the width of the interaction potential is much smaller compared to the inter-particle separation. This model is then solved via the asymptotic Bethe ansatz technique. The ferromagnetic ground state energy and chemical potential are derived analytically. We also investigate the effects of a finite range potential on the density profiles through local density approximation. Finite range potentials are more likely to lead to quasi Bose-Einstein condensation than zero range potentials.

29 pages, 5 figures

References in corpus (3)

• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• Efficient Thermodynamic Description of Multi-Component One-Dimensional Bose Gases

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