多路复用网络中增强的量子传输
Enhanced Quantum Transport in Multiplex Networks
摘要：
通过无序结构的量子输运被（安德森）局域化效应抑制。无序可以是拓扑的，如随机网络，也可以是能量的，如原始安德森模型。在这两种情况下，与网络相关的哈密顿量的本征态都变得局域化。我们将展示如何克服本地化的网络复用。这里，具有相同数量节点的多层随机网络以这样的方式堆叠，即在垂直方向上形成规则的一维网络。取决于层内和垂直于层的耦合的比率，传输得到增强或减弱。特别是，如果耦合是相同的顺序，传输得到增强和本地化的影响可以克服。我们通过两个例子来验证我们的结果：随机网络和一维安德森模型的多路复用。
英文摘要：
Quantum transport through disordered structures is inhibited by (Anderson) localization effects. The disorder can be either topological as in random networks or energetical as in the original Anderson model. In both cases the eigenstates of the Hamiltonian associated with the network become localized. We show how to overcome localization by network multiplexing. Here, multiple layers of random networks with the same number of nodes are stacked in such a way that in the perpendicular directions regular one-dimensional networks are formed. Depending on the ratio of the coupling within the layer and perpendicular to it, transport gets either enhanced or diminished. In particular, if the couplings are of the same order, transport gets enhanced and localization effects can be overcome. We exemplify our results by two examples: multiplexes of random networks and of one-dimensional Anderson models.
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