English

Density distributions for trapped one-dimensional spinor gases

Strongly Correlated Electrons 2007-05-23 v2

Abstract

We numerically evaluate the density distribution of a spin-1 bosonic condensate in its ground state within a modifed Gross-Pitaevskii theory, which is obtained by the combination of the exact solution of the corresponding integrable model with the local density approximation. Our study reveals that atoms in the m_F = 0 state are almost completely suppressed for the anti-ferromagnetic interactions in both weakly and strongly interacting regimes, whereas all three components remain non-vanishing for ferromagnetic interactions. Specially, when the system is in the Tonks-Girardeau (TG) regime, obvious Fermi-like distribution emerges for each component. We also discuss the possible deviation of the spatial distribution from the Fermi-like distribution when the spin-spin interaction is strong enough.

Keywords

Cite

@article{arxiv.cond-mat/0507233,
  title  = {Density distributions for trapped one-dimensional spinor gases},
  author = {Yajiang Hao and Yunbo Zhang and J. Q. Liang and Shu Chen},
  journal= {arXiv preprint arXiv:cond-mat/0507233},
  year   = {2007}
}

Comments

6 pages, 3 figures, version to be published in Phys. Rev. A

R2 v1 2026-07-22T11:19:41.442Z