2010/01/19 by Mathias Albert, Patricio Leboeuf · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Random lasers and scattering media #Topological Materials and Phenomena
paper · doi:10.1103/physreva.81.013614
The one-dimensional propagation of waves in a bichromatic potential may be modeled by the Aubry-Andr'e 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.