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

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.
Authors:
 [1] ;  [2]
  1. Departments of Physics and Mathematics, Princeton University, Princeton, New Jersey 08544 (United States)
  2. Zentrum Mathematik, TU Munich, Boltzmannstr. 3, 85747 Garching (Germany)
Publication Date:
OSTI Identifier:
22093718
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 53; Journal Issue: 9; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FLUCTUATIONS; GRAPH THEORY; PARTICLES; QUANTUM MECHANICS; RANDOMNESS; RESONANCE; SCHROEDINGER EQUATION; SPECTRA