Multidimensional soliton systems
ABSTRACTThis concise review aims to provide a summary of the most relevant recent experimental and theoretical results for solitons, i.e. self-trapped bound states of nonlinear waves, in two- and three-dimensional (2D and 3D) media. In comparison with commonly known one-dimensional solitons, which a...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Advances in Physics: X |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/23746149.2023.2301592 |
| _version_ | 1797349576012726272 |
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| author | Boris A. Malomed |
| author_facet | Boris A. Malomed |
| author_sort | Boris A. Malomed |
| collection | DOAJ |
| description | ABSTRACTThis concise review aims to provide a summary of the most relevant recent experimental and theoretical results for solitons, i.e. self-trapped bound states of nonlinear waves, in two- and three-dimensional (2D and 3D) media. In comparison with commonly known one-dimensional solitons, which are, normally, stable modes, a challenging problem is the propensity of 2D and 3D solitons to instability, caused by the occurrence of the critical or supercritical wave collapse (catastrophic self-compression) in the same spatial dimensions. A remarkable feature of multidimensional solitons is their ability to carry vorticity; however, 2D vortex rings and 3D vortex tori are subject to a strong splitting instability. Therefore, it is natural to categorize the basic results according to physically relevant settings which make it possible to stabilize fundamental (non-topological) and vortex solitons against the collapse and splitting, respectively. The present review is focused on schemes that were recently elaborated in terms of Bose-Einstein condensates and similar photonic setups. These are two-component systems with spin-orbit coupling, and ones stabilized by the beyond-mean-field Lee-Huang-Yang effect. The latter setting has been implemented experimentally, giving rise to stable self-trapped quasi-2D and 3D quantum droplets. Characteristic examples of stable three-dimensional solitons: a semi-vortex (top) and mixed-mode (bottom) modes in the binary Bose-Einstein condensate, stabilized by the spin-orbit coupling. |
| first_indexed | 2024-03-08T12:32:19Z |
| format | Article |
| id | doaj.art-62770ebd6a784de68e63402116e1fa9a |
| institution | Directory Open Access Journal |
| issn | 2374-6149 |
| language | English |
| last_indexed | 2024-03-08T12:32:19Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Advances in Physics: X |
| spelling | doaj.art-62770ebd6a784de68e63402116e1fa9a2024-01-21T19:35:07ZengTaylor & Francis GroupAdvances in Physics: X2374-61492024-12-019110.1080/23746149.2023.2301592Multidimensional soliton systemsBoris A. Malomed0Ïnstituto de Alta Investigación, Universidad de Tarapacá, Arica, ChileABSTRACTThis concise review aims to provide a summary of the most relevant recent experimental and theoretical results for solitons, i.e. self-trapped bound states of nonlinear waves, in two- and three-dimensional (2D and 3D) media. In comparison with commonly known one-dimensional solitons, which are, normally, stable modes, a challenging problem is the propensity of 2D and 3D solitons to instability, caused by the occurrence of the critical or supercritical wave collapse (catastrophic self-compression) in the same spatial dimensions. A remarkable feature of multidimensional solitons is their ability to carry vorticity; however, 2D vortex rings and 3D vortex tori are subject to a strong splitting instability. Therefore, it is natural to categorize the basic results according to physically relevant settings which make it possible to stabilize fundamental (non-topological) and vortex solitons against the collapse and splitting, respectively. The present review is focused on schemes that were recently elaborated in terms of Bose-Einstein condensates and similar photonic setups. These are two-component systems with spin-orbit coupling, and ones stabilized by the beyond-mean-field Lee-Huang-Yang effect. The latter setting has been implemented experimentally, giving rise to stable self-trapped quasi-2D and 3D quantum droplets. Characteristic examples of stable three-dimensional solitons: a semi-vortex (top) and mixed-mode (bottom) modes in the binary Bose-Einstein condensate, stabilized by the spin-orbit coupling.https://www.tandfonline.com/doi/10.1080/23746149.2023.2301592Bose-Einstein condensatesnonlinear opticsvorticesstabilityspin-orbit couplingquantum droplets |
| spellingShingle | Boris A. Malomed Multidimensional soliton systems Advances in Physics: X Bose-Einstein condensates nonlinear optics vortices stability spin-orbit coupling quantum droplets |
| title | Multidimensional soliton systems |
| title_full | Multidimensional soliton systems |
| title_fullStr | Multidimensional soliton systems |
| title_full_unstemmed | Multidimensional soliton systems |
| title_short | Multidimensional soliton systems |
| title_sort | multidimensional soliton systems |
| topic | Bose-Einstein condensates nonlinear optics vortices stability spin-orbit coupling quantum droplets |
| url | https://www.tandfonline.com/doi/10.1080/23746149.2023.2301592 |
| work_keys_str_mv | AT borisamalomed multidimensionalsolitonsystems |