Superballistic spreading of wave packets

Abstract

We demonstrate for various systems that the variance of a wave packet $M(t)\propto t^{\nu }$, can show a {\it superballistic} increase with $2<\nu \le 3$, 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.

4 pages, 4 figures

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