A Statistical Theory of Designed Quantum Transport Across Disordered Networks
Quantum Physics
2015-05-04 v2 Disordered Systems and Neural Networks
Data Analysis, Statistics and Probability
Abstract
We explain how centrosymmetry, together with a dominant doublet 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 generalisation 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 behaviour of characteristic statistical properties with the size of the network.
Keywords
Cite
@article{arxiv.1409.2626,
title = {A Statistical Theory of Designed Quantum Transport Across Disordered Networks},
author = {Mattia Walschaers and Roberto Mulet and Thomas Wellens and Andreas Buchleitner},
journal= {arXiv preprint arXiv:1409.2626},
year = {2015}
}
Comments
23 pages, 8 figures