Walschaers Mattia, Mulet Roberto, Wellens Thomas, Buchleitner Andreas
Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.
Instituut voor Theoretische Fysica, University of Leuven, Celestijnenlaan 200D, B-3001 Heverlee, Belgium.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):042137. doi: 10.1103/PhysRevE.91.042137. Epub 2015 Apr 28.
We explain how centrosymmetry, together with a dominant doublet of energy eigenstates in the local density of states, can guarantee interference-assisted, strongly enhanced, strictly coherent quantum excitation transport between two predefined sites of a random network of two-level systems. Starting from a generalization of the chaos-assisted tunnelling mechanism, we formulate a random matrix theoretical framework for the analytical prediction of the transfer time distribution, of lower bounds of the transfer efficiency, and of the scaling behavior of characteristic statistical properties with the size of the network. We show that these analytical predictions compare well to numerical simulations, using Hamiltonians sampled from the Gaussian orthogonal ensemble.
我们解释了中心对称性，以及态密度中占主导地位的能量本征态双重态，如何能够保证在由两能级系统组成的随机网络的两个预定义位点之间，实现干涉辅助的、强增强的、严格相干的量子激发传输。从对混沌辅助隧穿机制的推广出发，我们构建了一个随机矩阵理论框架，用于对传输时间分布、传输效率下限以及特征统计性质随网络规模的标度行为进行解析预测。我们表明，这些解析预测与使用从高斯正交系综中采样得到的哈密顿量进行的数值模拟结果吻合良好。
