Mülken Oliver, Pernice Volker, Blumen Alexander
Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Nov;76(5 Pt 1):051125. doi: 10.1103/PhysRevE.76.051125. Epub 2007 Nov 29.
We consider the quantum mechanical transport of (coherent) excitons on small-world networks (SWNs). The SWNs are built from a one-dimensional ring of N nodes by randomly introducing B additional bonds between them. The exciton dynamics is modeled by continuous-time quantum walks, and we evaluate numerically the ensemble-averaged transition probability to reach any node of the network from the initially excited one. For sufficiently large B we find that the quantum mechanical transport through the SWNs is, first, very fast, given that the limiting value of the transition probability is reached very quickly, and second, that the transport does not lead to equipartition, given that on average the exciton is most likely to be found at the initial node.
我们考虑（相干）激子在小世界网络（SWNs）上的量子力学输运。小世界网络由N个节点的一维环构建而成，通过在它们之间随机引入B条额外的键。激子动力学由连续时间量子行走建模，并且我们通过数值计算从初始激发节点到达网络任意节点的系综平均跃迁概率。对于足够大的B，我们发现通过小世界网络的量子力学输运，首先，非常快，因为跃迁概率的极限值能很快达到；其次，这种输运不会导致均分，因为平均而言激子最有可能在初始节点被发现。
