Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
arXiv:1202.3642 · doi:10.1063/1.4714617
Abstract
We discuss the dynamical implications of the recent proof that for a quantum particle in a random potential on a regular tree graph absolutely continuous spectrum occurs non-perturbatively through rare fluctuation-enabled resonances. The main result is spelled in the title.
Corrected version