摘要翻译：
我们考虑了（相干）激子在小世界网络(SWN)上的量子力学输运。SWN是由N个节点的一维环随机引入B个附加键构成的。我们用连续时间量子游走来模拟激子动力学，并用数值方法计算了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SWN的量子力学输运首先是非常快的，给定跃迁几率的极限值是非常快的；第二，输运并不导致均分，因为平均来说激子最有可能出现在初始节点。
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英文标题：
《Quantum transport on small-world networks: A continuous-time quantum
  walk approach》
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作者：
Oliver Muelken, Volker Pernice, Alexander Blumen
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Quantum Physics        量子物理学
分类描述：Description coming soon
描述即将到来
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We consider the quantum mechanical transport of (coherent) excitons on small-world networks (SWN). The SWN are build 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 SWN is, first, very fast, given that the limiting value of the transition probability is reached very quickly; 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.
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PDF链接：
https://arxiv.org/pdf/705.1608