Localization by bichromatic potentials versus Anderson localization

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.013614· OSTI ID:21388777

Albert, Mathias; Leboeuf, Patricio ^[1]

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1. Laboratoire de Physique Theorique et Modeles Statistiques, CNRS, Universite Paris Sud, UMR8626, F-91405 Orsay Cedex (France)

The one-dimensional propagation of waves in a bichromatic potential may be modeled by the Aubry-Andre Hamiltonian. This, in turn, presents a localization transition that has been observed in recent experiments using ultracold atoms or light. It is shown here that, in contrast to the Anderson model, the localization mechanism has a classical origin, namely it is not due to a quantum suppression of a classically allowed transport process, but rather is produced by a trapping by the potential. Explicit comparisons with the Anderson model as well as with experiments are presented.

• OSTI ID: 21388777
• Journal Information: Physical Review. A, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevA.81.013614; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMS
COMPARATIVE EVALUATIONS
HAMILTONIANS
ONE-DIMENSIONAL CALCULATIONS
ORIGIN
POTENTIALS
TRAPPING
VISIBLE RADIATION
ELECTROMAGNETIC RADIATION
EVALUATION
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
RADIATIONS