Topological solitons in coupled Su-Schrieffer-Heeger waveguide arrays

Fuente: arXiv
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Autori principali: Sabour, Khalil, Kartashov, Yaroslav V.
Natura: Preprint
Pubblicazione: 2024
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author Sabour, Khalil
Kartashov, Yaroslav V.
author_facet Sabour, Khalil
Kartashov, Yaroslav V.
contents We investigate the formation of multipole topological solitons at the edges of two and three coupled parallel Su-Schrieffer-Heeger (SSH) waveguide arrays. We show that independent variations of waveguide spacing in the unit cells (dimers) in coupled waveguide arrays result in the emergence at their edges of several topological edge states with different internal symmetry. The number of emerging edge states is determined by how many arrays are in topologically nontrivial phase. In the presence of nonlinearity, such edge states give rise to families of multipole topological edge solitons with distinct stability properties. Our results illustrate that coupling between quasi-one-dimensional topological structures substantially enriches the variety of stable topological edge solitons existing in them.
format Preprint
id arxiv_https___arxiv_org_abs_2406_11416
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Topological solitons in coupled Su-Schrieffer-Heeger waveguide arrays
Sabour, Khalil
Kartashov, Yaroslav V.
Optics
Pattern Formation and Solitons
We investigate the formation of multipole topological solitons at the edges of two and three coupled parallel Su-Schrieffer-Heeger (SSH) waveguide arrays. We show that independent variations of waveguide spacing in the unit cells (dimers) in coupled waveguide arrays result in the emergence at their edges of several topological edge states with different internal symmetry. The number of emerging edge states is determined by how many arrays are in topologically nontrivial phase. In the presence of nonlinearity, such edge states give rise to families of multipole topological edge solitons with distinct stability properties. Our results illustrate that coupling between quasi-one-dimensional topological structures substantially enriches the variety of stable topological edge solitons existing in them.
title Topological solitons in coupled Su-Schrieffer-Heeger waveguide arrays
topic Optics
Pattern Formation and Solitons
url https://arxiv.org/abs/2406.11416