In this paper, we study the emergence of a Landauer transport regime from the quantum-mechanical dynamics of free electrons in a disordered tight-binding chain, which is coupled to finite leads with open boundaries. Both partitioned and partition-free initial conditions are analyzed and seen to give rise, for large enough leads, to the same spatially uniform quasisteady-state current, which agrees with the Landauer value. The quasisteady-state regime is preceded by a transient regime, which lasts for a time proportional to the length of the disordered sample, and followed by recursions, after a time that is proportional to the lead size. These theoretical predictions may be of interest to future experiments on transport of fermionic ultracold atoms across optical lattices. We also observe finite-size current oscillations, superimposed on the quasisteady state, whose behavior depends crucially on the conditions initially imposed on the system. Finally, we show how a time-resolved Kubo formula is able to reproduce this Landauer transport regime, as the leads grow bigger.

中文翻译：

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ary量子动力学下有限链上的朗道运输作为准稳态

在本文中，我们从无序紧密结合链中的自由电子的量子力学动力学研究了Landauer传输机制的出现，该无序紧密结合链与具有开放边界的有限引线耦合。这两个分区和自由分区，分析初始条件，发现对于足够大的引线，会产生相同的空间均匀准稳态电流，这与Landauer值一致。在准稳态状态之前，有一个瞬态状态，该状态持续时间与无序样品的长度成比例，然后在与导线大小成比例的时间后递归。这些理论预测可能对未来有关铁离子超冷原子跨光学晶格传输的实验感兴趣。我们还观察到叠加在准稳态上的有限大小的电流振荡，其行为主要取决于最初施加在系统上的条件。最后，我们展示了随着线索的增长，时间分辨的Kubo公式如何能够重现Landauer的运输方式。