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=

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.