Density distributions for trapped one-dimensional spinor gases

Details Density distributions for trapped one-dimensional spinor gases Density distributions for trapped one-dimensional spinor gases

2005-07-11

arxiv.org/abs/cond-mat/0507233v2

Phys. Rev. A 73, 053605 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevA.73.053605

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.

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