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arXiv 0910.3268cond-mat.quant-gas
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自旋1玻色气体中的自旋波

Spin waves in a spin-1 Bose gas

Stefan S. Natu, Erich J. Mueller

摘要:

我们提出了一个理论的自旋波在非凝聚气体的自旋-1玻色子:提供两个分析计算的线性理论,和完整的数值模拟的非线性响应。我们强调的作用,自旋相关的接触相互作用的动力学的热气体。虽然这些相互作用与热能相比很小,但它们为低能量长波长自旋波设定了尺度。特别是,我们发现,Rb-87的极性状态是不稳定的碰撞混合的磁子级,即使在正常状态。我们增加我们的分析计算,提供完整的数值模拟的被困气体,明确表明这种不稳定性。此外,我们表明,足够强的反铁磁相互作用,极性气体是不稳定的。最后,我们探讨了无碰撞横向极化气体中的相干布居动力学。

英文摘要:

We present a theory of spin waves in a non-condensed gas of spin-1 bosons: providing both analytic calculations of the linear theory, and full numerical simulations of the nonlinear response. We highlight the role of spin-dependent contact interactions in the dynamics of a thermal gas. Although these interactions are small compared to the thermal energy, they set the scale for low energy long wavelength spin waves. In particular, we find that the polar state of Rb-87 is unstable to collisional mixing of magnetic sublevels even in the normal state. We augment our analytic calculations by providing full numerical simulations of a trapped gas, explicitly demonstrating this instability. Further we show that for strong enough anti-ferromagnetic interactions, the polar gas is unstable. Finally we explore coherent population dynamics in a collisionless transversely polarized gas.

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