Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs

Aizenman Michael<sup>*</sup>; Warzel Simone

doi:10.1063/1.4714617

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Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs

作者：Aizenman Michael^*; Warzel Simone

来源：Journal of Mathematical Physics, 2012, 53(9): 095205.

DOI：10.1063/1.4714617

摘要

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 (ac) spectrum occurs non-perturbatively through rare fluctuation-enabled resonances. The main result is spelled in the title.