Xu Xin-Ping, Li Wei, Liu Feng
Institute of Particle Physics, HuaZhong Normal University, Wuhan 430079, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Nov;78(5 Pt 1):052103. doi: 10.1103/PhysRevE.78.052103. Epub 2008 Nov 21.
We study the coherent exciton transport on Apollonian networks generated by simple iterative rules. The coherent exciton dynamics is modeled by continuous-time quantum walks and we calculate the transition probabilities between two nodes of the networks. We find that the transport depends on the initial nodes of the excitation. For networks up to the second generation the coherent transport shows perfect recurrences when the initial excitation starts at the central node. For networks of higher generation, the transport only shows partial revivals. Moreover, we find that the excitation is most likely to be found at the initial nodes while the coherent transport to other nodes has a very low probability. In the long time limit, the transition probabilities show characteristic patterns with identical values of limiting probabilities. Finally, the dynamics of quantum transport are compared with the classical transport modeled by continuous-time random walks.
我们研究了由简单迭代规则生成的阿波罗网络上的相干激子输运。相干激子动力学由连续时间量子行走建模，我们计算了网络中两个节点之间的转移概率。我们发现输运取决于激发的初始节点。对于第二代及以下的网络，当初始激发从中心节点开始时，相干输运呈现出完美的重现性。对于更高代的网络，输运仅呈现出部分复苏。此外，我们发现激发最有可能出现在初始节点，而向其他节点的相干输运概率非常低。在长时间极限下，转移概率呈现出具有相同极限概率值的特征模式。最后，将量子输运的动力学与由连续时间随机行走建模的经典输运进行了比较。
