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Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential
We study the nonlinear localized modes in two-component Bose-Einstein condensates with parity-time-symmetric Scarf-II potential, which can be described by the coupled Gross-Pitaevskii equations. Firstly, we investigate the linear stability of the nonlinear modes in the focusing and defocusing cases,...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10681260/ https://www.ncbi.nlm.nih.gov/pubmed/38011161 http://dx.doi.org/10.1371/journal.pone.0294790 |
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author | Zhang, Jia-Rui Wang, Xia |
author_facet | Zhang, Jia-Rui Wang, Xia |
author_sort | Zhang, Jia-Rui |
collection | PubMed |
description | We study the nonlinear localized modes in two-component Bose-Einstein condensates with parity-time-symmetric Scarf-II potential, which can be described by the coupled Gross-Pitaevskii equations. Firstly, we investigate the linear stability of the nonlinear modes in the focusing and defocusing cases, and get the stable and unstable domains of nonlinear localized modes. Then we validate the results by evolving them with 5% perturbations as an initial condition. Finally, we get stable solitons by considering excitations of the soliton via adiabatical change of system parameters. These findings of nonlinear modes can be potentially applied to physical experiments of matter waves in Bose-Einstein condensates. |
format | Online Article Text |
id | pubmed-10681260 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-106812602023-11-27 Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential Zhang, Jia-Rui Wang, Xia PLoS One Research Article We study the nonlinear localized modes in two-component Bose-Einstein condensates with parity-time-symmetric Scarf-II potential, which can be described by the coupled Gross-Pitaevskii equations. Firstly, we investigate the linear stability of the nonlinear modes in the focusing and defocusing cases, and get the stable and unstable domains of nonlinear localized modes. Then we validate the results by evolving them with 5% perturbations as an initial condition. Finally, we get stable solitons by considering excitations of the soliton via adiabatical change of system parameters. These findings of nonlinear modes can be potentially applied to physical experiments of matter waves in Bose-Einstein condensates. Public Library of Science 2023-11-27 /pmc/articles/PMC10681260/ /pubmed/38011161 http://dx.doi.org/10.1371/journal.pone.0294790 Text en © 2023 Zhang, Wang https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Zhang, Jia-Rui Wang, Xia Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential |
title | Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential |
title_full | Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential |
title_fullStr | Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential |
title_full_unstemmed | Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential |
title_short | Stability analysis of nonlinear localized modes in the coupled Gross-Pitaevskii equations with [Image: see text] -symmetric Scarf-II potential |
title_sort | stability analysis of nonlinear localized modes in the coupled gross-pitaevskii equations with [image: see text] -symmetric scarf-ii potential |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10681260/ https://www.ncbi.nlm.nih.gov/pubmed/38011161 http://dx.doi.org/10.1371/journal.pone.0294790 |
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