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Density distributions for trapped one-dimensional spinor gases

Yajiang Hao·Yunbo Zhang·J. Q. Liang·Shu Chen
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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.

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Yajiang Hao, Yunbo Zhang, J. Q. Liang, Shu Chen. 2006-04-10. Density distributions for trapped one-dimensional spinor gases. https://doi.org/10.1103/physreva.73.053605

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