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

Michael Aizenman, Simone Warzel

Research output: Contribution to journalArticle

14 Scopus citations

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

Original languageEnglish (US)
Article number095205
JournalJournal of Mathematical Physics
Volume53
Issue number9
DOIs
StatePublished - Sep 28 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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