Multifractals competing with solitons on Fibonacci optical lattices

We study stationary states for the nonlinear Schrödinger equation on Fibonacci lattices, which are expected to be realized by Bose–Einstein condensates loaded into an optical lattice. When the model does not have a nonlinear term, the wavefunctions and the spectrum are known to show fractal structur...

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Bibliographic Details
Main Authors: M Takahashi, H Katsura, M Kohmoto, T Koma
Format: Article
Language:English
Published: IOP Publishing 2012-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/14/11/113012