Resonant scattering and microscopic model of spinless Fermi gases in one-dimensional optical lattices
Resonant scattering and microscopic model of spinless Fermi gases in one-dimensional optical lattices
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一维光学晶格中无自旋费米气体的共振散射和微观模型
DOI：
10.1103/physreva.95.041601
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发表时间：
2016-12
影响因子：
2.9
通讯作者：
Cui Xiaoling
中科院分区：
文献类型：
--
作者：
Cui Xiaoling
研究了一维光学晶格中无自旋费米气体的有效布洛赫波散射。通过调整奇波散射长度，我们发现在最低波段的底部（和顶部）有多个布洛赫波散射共振，超过这个共振，一个吸引（和一个排斥）的两体束缚态开始出现。这些共振在深晶格极限中表现出相当的宽度，有限的相互作用范围在确定其位置方面起着至关重要的作用。基于精确二体解，我们建立了费米子低能散射的有效微观模型。该模型不仅可以再现布洛赫波在最低波段底部或顶部的散射幅值，还可以再现布洛赫波在该波段以下或以上相当大的能量范围内的吸引或排斥束缚态。这些结果为量子模拟一维光学晶格中的冷费米气体的拓扑态奠定了基础。
We study the effective Bloch-wave scattering of a spinless Fermi gas in one-dimensional (1D) optical lattices. By tuning the odd-wave scattering length, we find multiple resonances of Bloch waves scattering at the bottom (and the top) of the lowest band, beyond which an attractive (and a repulsive) two-body bound state starts to emerge. These resonances exhibit comparable widths in the deep lattice limit, and the finite interaction range plays an essential role in determining their locations. Based on exact two-body solutions, we construct an effective microscopic model for the low-energy scattering of fermions. The model can reproduce not only the scattering amplitudes of Bloch waves at the lowest-band bottom or top, but also the attractive or repulsive bound states within a reasonably large energy range below or above the band. These results lay the foundation for quantum simulating topological states in cold Fermi gases confined in 1D optical lattices.
DOI：
10.5860/choice.189890
发表时间：
2019-06
期刊：
The Charleston Advisor
影响因子：
--
作者：
Lucy Rosenbloom
通讯作者：
Lucy Rosenbloom