论文标题
用超低原子模拟量子传输和相互作用效应
Simulating quantum transport with ultracold atoms and interaction effects
论文作者
论文摘要
可以通过使用与自旋依赖性电位相互作用的费米子的自旋叠加来模拟量子转运。在这里，我们首先将该方案扩展到任意数量的自旋组件，以便通过多量量子点模拟传输，并根据自旋旋转矩阵和电势相移来得出电流公式。然后，我们表明，在两个旋转成分的情况下，FANO共振在零温度下的线性电导方面表现出来。我们还研究了大量弱粒子间相互作用如何通过琼脂化和重新归一化技术在一个维度上影响量子运输。特别是，我们发现，由于散装自旋隙而引起的有吸引力的相互作用会消失，而通过降低温度或化学势差的功率法进行排斥相互作用而增强的电导相互作用。
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.
