Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-07-19
Phys. Rev. E 65, 046605 (2002).
Physics
Condensed Matter
Disordered Systems and Neural Networks
9 pages, 9 figures
Scientific paper
10.1103/PhysRevE.65.046605
The purely classical counterpart of the Scattering Probability Matrix (SPM) $\mid S_{n,m}\mid^2$ of the quantum scattering matrix $S$ is defined for 2D quantum waveguides for an arbitrary number of propagating modes $M$. We compare the quantum and classical structures of $\mid S_{n,m}\mid^2$ for a waveguide with generic Hamiltonian chaos. It is shown that even for a moderate number of channels, knowledge of the classical structure of the SPM allows us to predict the global structure of the quantum one and, hence, understand important quantum transport properties of waveguides in terms of purely classical dynamics. It is also shown that the SPM, being an intensity measure, can give additional dynamical information to that obtained by the Poincar\`{e} maps.
Luna-Acosta Germán A.
Mendez-Bermudez Jose Antonio
Pichugin Konstantin N.
Seba Petr
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