Controlled Fission and Superposition of Vector Solitons in an Integrable Model of Two-Component Bose-Einstein Condensates
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916866945974272 |
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| author | Vaduganathan, Ramesh Kumar Vijayan, Rajadurai Malomed, Boris A. |
| author_facet | Vaduganathan, Ramesh Kumar Vijayan, Rajadurai Malomed, Boris A. |
| contents | We investigate the dynamics of vector solitons in a two-component Bose-Einstein condensates governed by the system of Gross-Pitaevskii equations. Using a gauge-transformation approach, we construct a four-soliton solution and analyze their interactions, including superposition states, fission, and shape-preserving collisions. We explore the ability of time-dependent parameters, such as the intra- and intercomponent interaction coefficients and trapping potential, to control the soliton properties. In particular, we demonstrate controlled four-soliton fission, highlighting its potential applications to quantum data processing and coherent matter-wave transport. The results suggest experimental realization in BEC systems and provide insights into nonlinear wave interactions in multicomponent quantum fluids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Controlled Fission and Superposition of Vector Solitons in an Integrable Model of Two-Component Bose-Einstein Condensates Vaduganathan, Ramesh Kumar Vijayan, Rajadurai Malomed, Boris A. Pattern Formation and Solitons Quantum Gases We investigate the dynamics of vector solitons in a two-component Bose-Einstein condensates governed by the system of Gross-Pitaevskii equations. Using a gauge-transformation approach, we construct a four-soliton solution and analyze their interactions, including superposition states, fission, and shape-preserving collisions. We explore the ability of time-dependent parameters, such as the intra- and intercomponent interaction coefficients and trapping potential, to control the soliton properties. In particular, we demonstrate controlled four-soliton fission, highlighting its potential applications to quantum data processing and coherent matter-wave transport. The results suggest experimental realization in BEC systems and provide insights into nonlinear wave interactions in multicomponent quantum fluids. |
| title | Controlled Fission and Superposition of Vector Solitons in an Integrable Model of Two-Component Bose-Einstein Condensates |
| topic | Pattern Formation and Solitons Quantum Gases |
| url | https://arxiv.org/abs/2507.20237 |