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摘要翻译：
超冷原子费米气体的最新进展使具有多自旋组分的费米子超流体成为可能。在这种情况下，由于存在由两个以上的粒子组成的紧密结合的团簇或分子，任何平均场描述都将失败。本文详细研究了强相互作用多组分费米气体在高拉长或准一维谐波陷阱中的情况，这一结果可以在实验中得到。利用精确的Bethe ansatz解和对谐波陷阱的局域密度近似处理，研究了多组分费米气体在均匀和囚禁环境中的状态方程，以及密度分布和低能集体模。还给出了多组分束缚团簇的结合能。我们证明了在临界密度处集体模频率有一个峰值，这是一个与中子星中期望的夸克色超导态类似的多体态的反束缚跃迁。
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英文标题：
《Multi-component strongly attractive Fermi gas: a color superconductor in
a one-dimensional harmonic trap》
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作者：
Xia-Ji Liu, Hui Hu and Peter D. Drummond
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Superconductivity 超导电性
分类描述：Superconductivity: theory, models, experiment. Superflow in helium
超导：理论，模型，实验。氦中超流
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound clusters or molecules that consist of more than two particles. Here we present a detailed study of a strongly interacting multi-component Fermi gas in a highly elongated or quasi-one-dimensional harmonic trap, which could be readily obtained in experiment. By using the exact Bethe ansatz solution and a local density approximation treatment of the harmonic trap, we investigate the equation of state of the multi-component Fermi gas in both a homogeneous and trapped environment, as well as the density profiles and low-energy collective modes. The binding energy of multi-component bound clusters is also given. We show that there is a peak in the collective mode frequency at the critical density for a deconfining transition to a many-body state that is analogous to the quark color superconductor state expected in neutron stars.
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PDF链接：
https://arxiv.org/pdf/709.2273
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