AUTHOR=Zhou Shu , Zeng Jianhua , Qin Yali 

TITLE=Asymmetric localized states at a nonlinear interface of fractional systems with optical lattices

JOURNAL=Frontiers in Physics

VOLUME=10

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.1116344

DOI=10.3389/fphy.2022.1116344

ISSN=2296-424X

ABSTRACT=<p>We investigate the existence and stability of localized gap states at a non-linear interface of non-linear fractional systems in a one-dimensional photonic lattice. By using the direct numerical simulations and linear stability analysis, we obtain the stability of the asymmetric localized gap states in the first and second finite gaps. Our theoretical results show that the power of the localized gap states decrease gradually as the increase of propagation constant and the non-linear landscape (non-linear coefficient ratio between the left and right interface), providing insights into soliton physics in non-linear periodic systems with fractional-order diffraction.</p>