Quantum transport can be simulated with ultracold atoms by employing spin superpositions of fermions interacting with spin-dependent potentials. Here we first extend this scheme to an arbitrary number of spin components so as to allow simulating transport through a multiterminal quantum dot and derive a current formula in terms of a spin rotation matrix and potential phase shifts. We then show that a Fano resonance manifests itself in measuring a linear conductance at zero temperature in the case of two spin components. We also study how a weak interparticle interaction in bulk affects quantum transport in one dimension with the bosonization and renormalization techniques. In particular, we find that the conductance vanishes for an attractive interaction due to a bulk spin gap, while it is enhanced for a repulsive interaction by a power law with lowering the temperature or the chemical potential difference.

中文翻译：

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用超冷原子模拟量子传输和相互作用效应

通过使用与自旋依赖性电位相互作用的费米子自旋叠加，可以用超冷原子模拟量子传输。在这里，我们首先将该方案扩展到任意数量的自旋分量，以便允许模拟通过多端量子点的传输，并根据自旋旋转矩阵和潜在的相移得出当前公式。然后，我们证明了在两个自旋分量的情况下，在零温度下测量线性电导时，Fano共振表现出来。我们还研究了通过玻化和重归一化技术，整体中弱的粒子间相互作用如何在一个维度上影响量子传输。特别是，我们发现由于自旋间隙较大，电导消失了，从而产生了吸引人的相互作用，