Open AccessLocalization and Anderson delocalization of light in fractional dimensions with a quasi-periodic lattice
Author(s) -
Changming Huang,
Ce Shang,
Jing Li,
Liangwei Dong,
Fangwei Ye
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.006259
Subject(s) - anderson localization , delocalized electron , physics , lattice (music) , condensed matter physics , nonlinear system , wave packet , quantum mechanics , statistical physics , acoustics
We address the properties of wavepacket localization-delocalization transition (LDT) in fractional dimensions with a quasi-periodic lattice. The LDT point, which is generally determined by the competition between two sub-lattices comprising the quasi-periodic lattice, turns out to be inversely proportional to the Lévy index. Surprisingly, we find that, in the presence of weak structural disorder, anti-Anderson localization occurs, i.e., the introduced disorder results in an increasing of the size of the linear modes. Inclusion of a weak focusing nonlinearity is shown to improve localization. The propagation simulation achieves excellent agreement with the linear and nonlinear eigenmode analysis.