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arXiv · 0708.1288

Dynamical approach to chains of scatterers

Martin Horvat·Tomaz Prosen
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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.

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Martin Horvat, Tomaz Prosen. 2007-08-09. Dynamical approach to chains of scatterers. https://doi.org/10.1088/1751-8113/40/38/010

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