Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice

Scientific Reports
D R GulevichI A Shelykh

Abstract

Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological insulator - material which is insulating in the bulk but conducting on its surface, along with many of its recently proposed photonic and polaritonic analogues. We show that exciton-polariton fluid in a nontrivial topological phase in kagome lattice, supports nonlinear excitations in the form of solitons built up from wavepackets of topological edge modes - topological edge solitons. Our theoretical and numerical results indicate the appearance of bright, dark and grey solitons dwelling in the vicinity of the boundary of a lattice strip. In a parabolic region of the dispersion the solitons can be described by envelope functions satisfying the nonlinear Schrödinger equation. Upon collision, multiple topological edge solitons emerge undistorted, which proves them to be true solitons as opposed to solitary waves for which such requirement is waived. Importantly, kagome lattice supports topological edge mode with zero group velocity unlike other types of truncated lattices. This gives a finer control ove...Continue Reading

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Citations

Jan 6, 2018·Physical Review Letters·Yaroslav V Kartashov, Dmitry V Skryabin
Mar 14, 2018·Optics Express·Yan XueMichał Matuszewski
Feb 29, 2020·Physical Review Letters·R BanerjeeT C H Liew
Nov 16, 2019·Optics Letters·Yaroslav V Kartashov, Victor A Vysloukh
Oct 6, 2020·Physical Review Letters·S MandalT C H Liew
Sep 2, 2020·Optics Letters·Yiqi ZhangA Ferrando
Oct 2, 2020·Optics Letters·Xuekai MaStefan Schumacher
Apr 2, 2019·Physical Review Letters·Yaroslav V Kartashov, Dmitry V Skryabin

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