Random Unitary Models and their Localization Properties

  title={Random Unitary Models and their Localization Properties},
  author={Alain Joye},
  journal={arXiv: Mathematical Physics},
  • A. Joye
  • Published 1 April 2011
  • Mathematics
  • arXiv: Mathematical Physics
This paper aims at presenting a few models of quantum dynamics whose description involves the analysis of random unitary matrices for which dynamical localization has been proven to hold. Some models come from physical approximations leading to effective descriptions of the dynamics of certain random systems that are popular in condensed matter theoretical physics, whereas others find their roots in more abstract considerations and generalizations. Although they may differ in details, the… 

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