English

Localization by bichromatic potentials versus Anderson localization

Quantum Gases 2010-04-02 v2

Abstract

The one-dimensional propagation of waves in a bichromatic potential may be modeled by the Aubry-Andr\'e Hamiltonian. The latter presents a delocalization-localization transition, which has been observed in recent experiments using ultracold atoms or light. It is shown here that, in contrast to Anderson localization, this transition has a classical origin, namely the localization mechanism is not due to a quantum suppression of a classically allowed transport process. Explicit comparisons with the Anderson model, as well as with experiments, are done.

Keywords

Cite

@article{arxiv.0905.2331,
  title  = {Localization by bichromatic potentials versus Anderson localization},
  author = {Mathias Albert and Patricio Leboeuf},
  journal= {arXiv preprint arXiv:0905.2331},
  year   = {2010}
}

Comments

8 pages, 4 figures

R2 v1 2026-06-21T13:02:15.485Z