Superballistic spreading of wave packets

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.64.012301

We demonstrate for various systems that the variance of a wave packet
$M(t)\propto t^\nu$, can show a {\it superballistic} increase with $2<\nu\le3$,
for parametrically large time intervals. A model is constructed which explains
this phenomenon and its predictions are verified numerically for various
disordered and quasi-periodic systems.

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