Localization by bichromatic potentials versus Anderson localization

Details Localization by bichromatic potentials versus Anderson localization Localization by bichromatic potentials versus Anderson localization

2009-05-14

arxiv.org/abs/0905.2331v2

Phys. Rev. A 81, 013614 (2010)

Physics

Condensed Matter

Quantum Gases

8 pages, 4 figures

Scientific paper

10.1103/PhysRevA.81.013614

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.

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