Three-dimensional hybrid vortex solitons

We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical three-dimensional (3D) solitary-wave states. Peanut-shaped modulation profi...

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Detalhes bibliográficos
Autores: Driben, Rodislav, Kartashov, Yaroslav, Malomed, Boris A., Meier, Torsten, Torner Sabata, Lluís|||0000-0002-6491-4210
Tipo de documento: artigo
Data de publicação:2014
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/24296
Acesso em linha:https://hdl.handle.net/2117/24296
https://dx.doi.org/10.1088/1367-2630/16/6/063035
Access Level:Acceso aberto
Palavra-chave:Solitons
Three-dimensional vortices
Three-dimensional solitons
Bose-Einstein condensates
Nonlocal nonlinear media
Bose-Einstein condensate
Mode vector solitons
Light bullets
2-dimensional solitons
Schrodinger-equations
Photonic lattices
Optical solitons
Chiral solitons
Stabilization
Àrees temàtiques de la UPC::Física
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spelling Three-dimensional hybrid vortex solitonsDriben, RodislavKartashov, YaroslavMalomed, Boris A.Meier, TorstenTorner Sabata, Lluís|||0000-0002-6491-4210SolitonsThree-dimensional vorticesThree-dimensional solitonsBose-Einstein condensatesNonlocal nonlinear mediaBose-Einstein condensateMode vector solitonsLight bullets2-dimensional solitonsSchrodinger-equationsPhotonic latticesOptical solitonsChiral solitonsStabilizationSolitonsÀrees temàtiques de la UPC::FísicaWe show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical three-dimensional (3D) solitary-wave states. Peanut-shaped modulation profiles give rise to vertically symmetric and antisymmetric vortex states, and novel stationary hybrid states, built of top and bottom vortices with opposite topological charges, as well as robust dynamical hybrids, which feature stable precession of a vortex on top of a zero-vorticity soliton. The analysis reveals stability regions for symmetric, antisymmetric, and hybrid states. In addition, bead-shaped modulation profiles give rise to the first example of exact analytical solutions for stable 3D vortex solitons. The predicted states may be realized in media with a controllable cubic nonlinearity, such as Bose-Einstein condensates.Peer Reviewed20142014-06-1620142014-10-07journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/24296https://dx.doi.org/10.1088/1367-2630/16/6/063035reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/242962026-05-27T15:37:01Z
dc.title.none.fl_str_mv Three-dimensional hybrid vortex solitons
title Three-dimensional hybrid vortex solitons
spellingShingle Three-dimensional hybrid vortex solitons
Driben, Rodislav
Solitons
Three-dimensional vortices
Three-dimensional solitons
Bose-Einstein condensates
Nonlocal nonlinear media
Bose-Einstein condensate
Mode vector solitons
Light bullets
2-dimensional solitons
Schrodinger-equations
Photonic lattices
Optical solitons
Chiral solitons
Stabilization
Solitons
Àrees temàtiques de la UPC::Física
title_short Three-dimensional hybrid vortex solitons
title_full Three-dimensional hybrid vortex solitons
title_fullStr Three-dimensional hybrid vortex solitons
title_full_unstemmed Three-dimensional hybrid vortex solitons
title_sort Three-dimensional hybrid vortex solitons
dc.creator.none.fl_str_mv Driben, Rodislav
Kartashov, Yaroslav
Malomed, Boris A.
Meier, Torsten
Torner Sabata, Lluís|||0000-0002-6491-4210
author Driben, Rodislav
author_facet Driben, Rodislav
Kartashov, Yaroslav
Malomed, Boris A.
Meier, Torsten
Torner Sabata, Lluís|||0000-0002-6491-4210
author_role author
author2 Kartashov, Yaroslav
Malomed, Boris A.
Meier, Torsten
Torner Sabata, Lluís|||0000-0002-6491-4210
author2_role author
author
author
author
dc.subject.none.fl_str_mv Solitons
Three-dimensional vortices
Three-dimensional solitons
Bose-Einstein condensates
Nonlocal nonlinear media
Bose-Einstein condensate
Mode vector solitons
Light bullets
2-dimensional solitons
Schrodinger-equations
Photonic lattices
Optical solitons
Chiral solitons
Stabilization
Solitons
Àrees temàtiques de la UPC::Física
topic Solitons
Three-dimensional vortices
Three-dimensional solitons
Bose-Einstein condensates
Nonlocal nonlinear media
Bose-Einstein condensate
Mode vector solitons
Light bullets
2-dimensional solitons
Schrodinger-equations
Photonic lattices
Optical solitons
Chiral solitons
Stabilization
Solitons
Àrees temàtiques de la UPC::Física
description We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical three-dimensional (3D) solitary-wave states. Peanut-shaped modulation profiles give rise to vertically symmetric and antisymmetric vortex states, and novel stationary hybrid states, built of top and bottom vortices with opposite topological charges, as well as robust dynamical hybrids, which feature stable precession of a vortex on top of a zero-vorticity soliton. The analysis reveals stability regions for symmetric, antisymmetric, and hybrid states. In addition, bead-shaped modulation profiles give rise to the first example of exact analytical solutions for stable 3D vortex solitons. The predicted states may be realized in media with a controllable cubic nonlinearity, such as Bose-Einstein condensates.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-06-16
2014
2014-10-07
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/24296
https://dx.doi.org/10.1088/1367-2630/16/6/063035
url https://hdl.handle.net/2117/24296
https://dx.doi.org/10.1088/1367-2630/16/6/063035
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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