Transdimensional dynamics of Kerr cavity solitons
We study the bifurcation and stability of radial symmetric solitons in one- (1D), two- (2D), and three-dimensional (3D) damped-driven Kerr cavity systems. We employ a dimension-parameterized one-dimensional framework, by imposing symmetry, where the dimension of the systems can be adjusted by a real...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/k54w-s7lg |
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| _version_ | 1850105449850863616 |
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| author | Yifan Sun Pedro Parra-Rivas Francois Leo Carles Milián Stefan Wabnitz |
| author_facet | Yifan Sun Pedro Parra-Rivas Francois Leo Carles Milián Stefan Wabnitz |
| author_sort | Yifan Sun |
| collection | DOAJ |
| description | We study the bifurcation and stability of radial symmetric solitons in one- (1D), two- (2D), and three-dimensional (3D) damped-driven Kerr cavity systems. We employ a dimension-parameterized one-dimensional framework, by imposing symmetry, where the dimension of the systems can be adjusted by a real parameter, enabling us to analyze the impact of the dimensionality increase, in a continuous fashion, on the system's dynamics. Our results applied to Kerr cavity solitons unveil how key bifurcations, such as Hopf or exponential instabilities, appear in the system and reveal that the soliton solutions tend to become more and more unstable in systems with increased dimensions. Consequently, the stability region for 2D solitons is much narrower than in 1D, and all 3D solitons are unstable against collapse in the 3D damped-driven nonlinear Schrödinger equation. Our results and methods may be applied to other physically relevant 1D, 2D, 3D systems under symmetric conditions. |
| format | Article |
| id | doaj-art-1d0be005cee648a8b2a10bb165ea4038 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-1d0be005cee648a8b2a10bb165ea40382025-08-20T02:39:04ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-0173L03201510.1103/k54w-s7lgTransdimensional dynamics of Kerr cavity solitonsYifan SunPedro Parra-RivasFrancois LeoCarles MiliánStefan WabnitzWe study the bifurcation and stability of radial symmetric solitons in one- (1D), two- (2D), and three-dimensional (3D) damped-driven Kerr cavity systems. We employ a dimension-parameterized one-dimensional framework, by imposing symmetry, where the dimension of the systems can be adjusted by a real parameter, enabling us to analyze the impact of the dimensionality increase, in a continuous fashion, on the system's dynamics. Our results applied to Kerr cavity solitons unveil how key bifurcations, such as Hopf or exponential instabilities, appear in the system and reveal that the soliton solutions tend to become more and more unstable in systems with increased dimensions. Consequently, the stability region for 2D solitons is much narrower than in 1D, and all 3D solitons are unstable against collapse in the 3D damped-driven nonlinear Schrödinger equation. Our results and methods may be applied to other physically relevant 1D, 2D, 3D systems under symmetric conditions.http://doi.org/10.1103/k54w-s7lg |
| spellingShingle | Yifan Sun Pedro Parra-Rivas Francois Leo Carles Milián Stefan Wabnitz Transdimensional dynamics of Kerr cavity solitons Physical Review Research |
| title | Transdimensional dynamics of Kerr cavity solitons |
| title_full | Transdimensional dynamics of Kerr cavity solitons |
| title_fullStr | Transdimensional dynamics of Kerr cavity solitons |
| title_full_unstemmed | Transdimensional dynamics of Kerr cavity solitons |
| title_short | Transdimensional dynamics of Kerr cavity solitons |
| title_sort | transdimensional dynamics of kerr cavity solitons |
| url | http://doi.org/10.1103/k54w-s7lg |
| work_keys_str_mv | AT yifansun transdimensionaldynamicsofkerrcavitysolitons AT pedroparrarivas transdimensionaldynamicsofkerrcavitysolitons AT francoisleo transdimensionaldynamicsofkerrcavitysolitons AT carlesmilian transdimensionaldynamicsofkerrcavitysolitons AT stefanwabnitz transdimensionaldynamicsofkerrcavitysolitons |