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

J. Y. Lee; X. W. Guan; A. Del Campo; M. T. Batchelor

doi:10.1103/PhysRevA.85.013629

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

J. Y. Lee^*, X. W. Guan, A. Del Campo, M. T. Batchelor

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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 than the interparticle 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 the local-density approximation. Finite-range potentials are more likely to lead to quasi-Bose-Einstein condensation than zero-range potentials.

Original language	English
Article number	013629
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	85
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.85.013629
Publication status	Published - 23 Jan 2012

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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 than the interparticle 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 the local-density approximation. Finite-range potentials are more likely to lead to quasi-Bose-Einstein condensation than zero-range potentials.",

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AU - Batchelor, M. T.

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N2 - 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 than the interparticle 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 the local-density approximation. Finite-range potentials are more likely to lead to quasi-Bose-Einstein condensation than zero-range potentials.

AB - 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 than the interparticle 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 the local-density approximation. Finite-range potentials are more likely to lead to quasi-Bose-Einstein condensation than zero-range potentials.

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ER -

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

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