Dynamical approach to chains of scatterers
Abstract
Linear chains of quantum scatterers are studied in the process of lengthening, which is treated and analysed as a discrete dynamical system defined over the manifold of scattering matrices. Elementary properties of such dynamics relate the transport through the chain to the spectral properties of individual scatterers. For a single-scattering channel case some new light is shed on known transport properties of disordered and noisy chains, whereas translationally invariant case can be studied analytically in terms of a simple deterministic dynamical map. The many-channel case was studied numerically by examining the statistical properties of scatterers that correspond to a certain type of transport of the chain i.e. ballistic or (partially) localised.
Cite
@article{arxiv.0708.1288,
title = {Dynamical approach to chains of scatterers},
author = {Martin Horvat and Tomaz Prosen},
journal= {arXiv preprint arXiv:0708.1288},
year = {2009}
}
Comments
16 pages, 7 figures