Classical dynamical localization
Abstract
We consider classical models of the kicked rotor type, with piecewise linear kicking potentials designed so that momentum changes only by multiples of a given constant. Their dynamics display quasi-localization of momentum, or quadratic growth of energy, depending on the arithmetic nature of the constant. Such purely classical features mimic paradigmatic features of the {\it quantum} kicked rotor, notably dynamical localization in momentum, or quantum resonances. We present a heuristic explanation, based on a classical phase space generalization of a well known argument, that maps the quantum kicked rotor on a tight-binding model with disorder. Such results suggest reconsideration of generally accepted views, that dynamical localization and quantum resonances are a pure result of quantum coherence.
Cite
@article{arxiv.1410.6325,
title = {Classical dynamical localization},
author = {Italo Guarneri and Giulio Casati and Volker Karle},
journal= {arXiv preprint arXiv:1410.6325},
year = {2015}
}