Dynamical approach to chains of scatterers

Details Dynamical approach to chains of scatterers Dynamical approach to chains of scatterers

2007-08-09

arxiv.org/abs/0708.1288v1

Physics

Quantum Physics

16 pages, 7 figures

Scientific paper

10.1088/1751-8113/40/38/010

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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