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Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices

Nonlinearity is the driving force for numerous important effects in nature typically showing transitions between different regimes, regular, chaotic or catastrophic behavior. Localized nonlinear modes have been the focus of intense research in areas such as fluid and gas dynamics, photonics, atomic...

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Detalles Bibliográficos
Autores principales: Driben, R., Konotop, V. V., Meier, T.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4786817/
https://www.ncbi.nlm.nih.gov/pubmed/26964759
http://dx.doi.org/10.1038/srep22758
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author Driben, R.
Konotop, V. V.
Meier, T.
author_facet Driben, R.
Konotop, V. V.
Meier, T.
author_sort Driben, R.
collection PubMed
description Nonlinearity is the driving force for numerous important effects in nature typically showing transitions between different regimes, regular, chaotic or catastrophic behavior. Localized nonlinear modes have been the focus of intense research in areas such as fluid and gas dynamics, photonics, atomic and solid state physics etc. Due to the richness of the behavior of nonlinear systems and due to the severe numerical demands of accurate three-dimensional (3D) numerical simulations presently only little knowledge is available on the dynamics of complex nonlinear modes in 3D. Here, we investigate the dynamics of 3D non-coaxial matter wave vortices that are trapped in a parabolic potential and interact via a repulsive nonlinearity. Our numerical simulations demonstrate the existence of an unexpected and fascinating nonlinear regime that starts immediately when the nonlinearity is switched-on and is characterized by a smooth dynamics representing torque-free precession with nutations. The reported motion is proven to be robust regarding various effects such as the number of particles, dissipation and trap deformations and thus should be observable in suitably designed experiments. Since our theoretical approach, i.e., coupled nonlinear Schrödinger equations, is quite generic, we expect that the obtained novel dynamical behavior should also exist in other nonlinear systems.
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spelling pubmed-47868172016-03-11 Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices Driben, R. Konotop, V. V. Meier, T. Sci Rep Article Nonlinearity is the driving force for numerous important effects in nature typically showing transitions between different regimes, regular, chaotic or catastrophic behavior. Localized nonlinear modes have been the focus of intense research in areas such as fluid and gas dynamics, photonics, atomic and solid state physics etc. Due to the richness of the behavior of nonlinear systems and due to the severe numerical demands of accurate three-dimensional (3D) numerical simulations presently only little knowledge is available on the dynamics of complex nonlinear modes in 3D. Here, we investigate the dynamics of 3D non-coaxial matter wave vortices that are trapped in a parabolic potential and interact via a repulsive nonlinearity. Our numerical simulations demonstrate the existence of an unexpected and fascinating nonlinear regime that starts immediately when the nonlinearity is switched-on and is characterized by a smooth dynamics representing torque-free precession with nutations. The reported motion is proven to be robust regarding various effects such as the number of particles, dissipation and trap deformations and thus should be observable in suitably designed experiments. Since our theoretical approach, i.e., coupled nonlinear Schrödinger equations, is quite generic, we expect that the obtained novel dynamical behavior should also exist in other nonlinear systems. Nature Publishing Group 2016-03-11 /pmc/articles/PMC4786817/ /pubmed/26964759 http://dx.doi.org/10.1038/srep22758 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Driben, R.
Konotop, V. V.
Meier, T.
Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices
title Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices
title_full Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices
title_fullStr Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices
title_full_unstemmed Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices
title_short Precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices
title_sort precession and nutation dynamics of nonlinearly coupled non-coaxial three-dimensional matter wave vortices
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4786817/
https://www.ncbi.nlm.nih.gov/pubmed/26964759
http://dx.doi.org/10.1038/srep22758
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