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arXiv · 0905.2331

Localization by bichromatic potentials versus Anderson localization

Mathias Albert·Patricio Leboeuf
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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.

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Mathias Albert, Patricio Leboeuf. 2009-05-14. Localization by bichromatic potentials versus Anderson localization. https://doi.org/10.1103/physreva.81.013614

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