Vortex solitons in twisted circular waveguide arrays

We address the formation of topological states in twisted circular waveguide arrays and find that twisting leads to important differences of the fundamental properties of new vortex solitons with opposite topological charges that arise in the nonlinear regime. We find that such system features the r...

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Authors: Dong, Liangwei; Kartashov, Yaroslav V.; Torner Sabata, Lluís|||0000-0002-6491-4210; Ferrando, Albert
Format: Article
Publication date:2022
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/376512
Online Access:https://hdl.handle.net/2117/376512
https://dx.doi.org/10.1103/PhysRevLett.129.123903
Access Level:Open access
Keyword:Solitons
Wave guides -- Mathematical models
Applications of soft matter
Waveguides
Waveguide arrays
Guies d'ones -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica::Fotònica
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author Dong, Liangwei
author2 Kartashov, Yaroslav V.
Torner Sabata, Lluís|||0000-0002-6491-4210
Ferrando, Albert
author2_role author
author
author
author_browse Dong, Liangwei
Ferrando, Albert
Kartashov, Yaroslav V.
Torner Sabata, Lluís|||0000-0002-6491-4210
author_facet Dong, Liangwei
Kartashov, Yaroslav V.
Torner Sabata, Lluís|||0000-0002-6491-4210
Ferrando, Albert
author_role author
collection UPCommons. Portal del coneixement obert de la UPC
description We address the formation of topological states in twisted circular waveguide arrays and find that twisting leads to important differences of the fundamental properties of new vortex solitons with opposite topological charges that arise in the nonlinear regime. We find that such system features the rare property that clockwise and counterclockwise vortex states are nonequivalent. Focusing on arrays with C6v discrete rotation symmetry, we find that a longitudinal twist stabilizes the vortex solitons with the lowest topological charges m=±1, which are always unstable in untwisted arrays with the same symmetry. Twisting also leads to the appearance of instability domains for otherwise stable solitons with m=±2 and generates vortex modes with topological charges m=±3 that are forbidden in untwisted arrays. By and large, we establish a rigorous relation between the discrete rotation symmetry of the array, its twist direction, and the possible soliton topological charges.
eu_rights_str_mv openAccess
format article
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institution Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:upcommons.upc.edu:2117/376512
publishDate 2022
publishDateSort 2022
publisher American Institute of Physics (AIP)
publisherStr American Institute of Physics (AIP)
reponame_str UPCommons. Portal del coneixement obert de la UPC
spelling Vortex solitons in twisted circular waveguide arrays Dong, Liangwei Kartashov, Yaroslav V. Torner Sabata, Lluís|||0000-0002-6491-4210 Ferrando, Albert Solitons Wave guides -- Mathematical models Applications of soft matter Waveguides Waveguide arrays Guies d'ones -- Models matemàtics Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica::Fotònica We address the formation of topological states in twisted circular waveguide arrays and find that twisting leads to important differences of the fundamental properties of new vortex solitons with opposite topological charges that arise in the nonlinear regime. We find that such system features the rare property that clockwise and counterclockwise vortex states are nonequivalent. Focusing on arrays with C6v discrete rotation symmetry, we find that a longitudinal twist stabilizes the vortex solitons with the lowest topological charges m=±1, which are always unstable in untwisted arrays with the same symmetry. Twisting also leads to the appearance of instability domains for otherwise stable solitons with m=±2 and generates vortex modes with topological charges m=±3 that are forbidden in untwisted arrays. By and large, we establish a rigorous relation between the discrete rotation symmetry of the array, its twist direction, and the possible soliton topological charges. Y.V.K., A.F. and L.T. acknowledge grant CEX2019-000910-S funded by MCIN/AEI/ 10.13039/501100011033, Fundació Cellex, Fundació Mir-Puig, and Generalitat de Catalunya (CERCA, AGAUR). A.F. thanks the support of MCIN of Spain through the project PID2020-120484RB-I00 and Generalitat Valenciana, Spain (grant PROMETEO/2021/082). Peer Reviewed American Institute of Physics (AIP) https://hdl.handle.net/2117/376512 https://dx.doi.org/10.1103/PhysRevLett.129.123903
spellingShingle Vortex solitons in twisted circular waveguide arrays
Dong, Liangwei
Solitons
Wave guides -- Mathematical models
Applications of soft matter
Waveguides
Waveguide arrays
Guies d'ones -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica::Fotònica
title Vortex solitons in twisted circular waveguide arrays
title_full Vortex solitons in twisted circular waveguide arrays
title_fullStr Vortex solitons in twisted circular waveguide arrays
title_full_unstemmed Vortex solitons in twisted circular waveguide arrays
title_short Vortex solitons in twisted circular waveguide arrays
title_sort Vortex solitons in twisted circular waveguide arrays
topic Solitons
Wave guides -- Mathematical models
Applications of soft matter
Waveguides
Waveguide arrays
Guies d'ones -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica::Fotònica
topic_facet Solitons
Wave guides -- Mathematical models
Applications of soft matter
Waveguides
Waveguide arrays
Guies d'ones -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telecomunicació òptica::Fotònica
url https://hdl.handle.net/2117/376512
https://dx.doi.org/10.1103/PhysRevLett.129.123903