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Open Quantum Systems Decoherence Quantum Simulation

Dynamical approach to chains of scatterers

arXiv
Authors: Martin Horvat, Tomaz Prosen

Year

2007

Paper ID

49415

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

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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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0708.1288 [2] arXiv https://arxiv.org/abs/0708.1288 [3] Publisher https://arxiv.org/abs/0708.1288

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