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Fulde-ferrell-larkin-ovchinnikov Pairing In One-dimensional Optical Lattices

机译：一维光学晶格中的Fulde-ferrell-larkin-ovchinnikov配对

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摘要

Spin-polarized attractive Fermi gases in one-dimensional (1D) optical lattices are expected to be remarkably good candidates for the observation of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. We model these systems with an attractive Hubbard model with population imbalance. By means of the density-matrix renormalization-group method, we compute the pairing correlations as well as the static spin and charge structure factors in the whole range from weak to strong coupling. We demonstrate that pairing correlations exhibit quasi-long-range order and oscillations at the wave number expected from the FFLO theory. However, we also show by numerically computing the mixed spin-charge static structure factor that charge and spin degrees of freedom appear to be coupled already for a small imbalance. We discuss the consequences of this coupling for the observation of the FFLO phase, as well as for the stabilization of the quasi-long-range order into long-range order by coupling many identical ID systems, such as in quasi-ID optical lattices.
机译：一维（1D）光学晶格中的自旋极化吸引费米气体有望成为观察Fulde-Ferrell-Larkin-Ovchinnikov（FFLO）相的极佳候选者。我们使用人口不平衡的有吸引力的Hubbard模型对这些系统进行建模。通过密度矩阵重归一化群方法，我们计算了从弱耦合到强耦合的整个范围内的配对相关性以及静态自旋和电荷结构因子。我们证明配对相关在FFLO理论预期的波数下表现出准远距离阶次和振荡。但是，我们还通过数值计算显示了混合的自旋电荷静态结构因子，表明电荷和自旋自由度似乎已经为小失衡而耦合。我们讨论了这种耦合对FFLO相位的观察以及通过耦合许多相同的ID系统（例如在准ID光学晶格中）将准远程序列稳定为远程序列的后果。

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