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arXiv 1207.6971cond-mat.quant-gashep-phnucl-th
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三组分费米气体中的新型交叉物理

New type of crossover physics in three-component Fermi gases

Yusuke Nishida

摘要:

在宽费什巴赫共振附近的三组分费米气体由于托马斯坍缩而不具有普适基态,而在窄费什巴赫共振附近具有普适基态。我们探索了它在逆散射长度1/akF和共振范围RkF的平面上的普适相图。对于大的RkF,存在一个Lifshitz过渡之间的超流体与不成对的费米面作为1/akF的函数。随着RkF的减小,与超流共存的费米面可以从原子费米面平滑地变化到三聚体费米面(“原子-三聚体连续性”),相当于致密核物质中的夸克-强子连续性。最后,出现了一个1/akF的有限窗口,在那里超流体被三聚体费米气体完全耗尽,这产生了一对量子临界点。这三个量子相的边界确定在控制分析是可能的区域,也进行了评估的基础上的平均场加三聚体模型。

英文摘要:

A three-component Fermi gas near a broad Feshbach resonance does not have a universal ground state due to the Thomas collapse, while it does near a narrow Feshbach resonance. We explore its universal phase diagram in the plane of the inverse scattering length 1/akF and the resonance range RkF. For a large RkF, there exists a Lifshitz transition between superfluids with and without an unpaired Fermi surface as a function of 1/akF. With decreasing RkF, the Fermi surface coexisting with the superfluid can change smoothly from that of atoms to trimers ("atom-trimer continuity"), corresponding to the quark-hadron continuity in a dense nuclear matter. Eventually, there appears a finite window in 1/akF where the superfluid is completely depleted by the trimer Fermi gas, which gives rise to a pair of quantum critical points. The boundaries of these three quantum phases are determined in regions where controlled analyses are possible and are also evaluated based on a mean-field plus trimer model.

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