有序和无序网络上量子输运的相空间模式
Phase space patterns of quantum transport on ordered and disordered networks
摘要：
在本文中，我们考虑了有序和无序网络上的量子力学相空间模式。对于每个节点与2m个最近邻节点相连的有序网络，Wigner函数的相空间准概率呈现出多种模式。在长时间限制下，在偶数网络上，我们发现节点和它的对端节点之间存在一个非对称的准概率。这种不对称性取决于网络参数和特定的相空间位置。对于每个边以概率p>0重新连接的无序网络，相空间在初始节点上显示区域局部化。
英文摘要：
In this paper, we consider the quantum-mechanical phase space patterns on ordered and disordered networks. For ordered networks in which each node is connected to its 2m nearest neighbors (m on either side), the phase space quasi-probability of Wigner function shows various patterns. In the long time limit, on even-numbered networks, we find an asymmetric quasi-probability between the node and its opposite node. This asymmetry depends on the network parameters and specific phase space positions. For disordered networks in which each edge is rewired with probability p>0, the phase space displays regional localization on the initial node.
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