Scattering of a two-soliton molecule by attractive potential well
Two anti-phase bright solitons in a dipolar Bose-Einstein condensate can form stable bound states, known as soliton molecules. In this paper we study the scattering of a twosoliton molecule by external potential, using the simplest and analytically tractable Gaussian potential barriers and wells,...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/44855/ http://irep.iium.edu.my/44855/1/abstract_aaqp2015.pdf |
| _version_ | 1848782679223304192 |
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| author | Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla |
| author_facet | Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla |
| author_sort | Umarov, Bakhram |
| building | IIUM Repository |
| collection | Online Access |
| description | Two anti-phase bright solitons in a dipolar Bose-Einstein condensate can form
stable bound states, known as soliton molecules. In this paper we study the scattering of a twosoliton
molecule by external potential, using the simplest and analytically tractable Gaussian
potential barriers and wells, in one spatial dimension. Theoretical model is based on the
variational approximation for the nonlocal Gross-Pitaevskii equation (GPE). At sufficiently
low velocity of the incident molecule we observe quantum reflection from the potential well.
Predictions of the mathematical model are compared with numerical simulations of the GPE,
and good qualitative agreement between them is demonstrated. |
| first_indexed | 2025-11-14T16:09:17Z |
| format | Proceeding Paper |
| id | iium-44855 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:09:17Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-448552017-06-15T01:55:31Z http://irep.iium.edu.my/44855/ Scattering of a two-soliton molecule by attractive potential well Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla QA Mathematics QC Physics Two anti-phase bright solitons in a dipolar Bose-Einstein condensate can form stable bound states, known as soliton molecules. In this paper we study the scattering of a twosoliton molecule by external potential, using the simplest and analytically tractable Gaussian potential barriers and wells, in one spatial dimension. Theoretical model is based on the variational approximation for the nonlocal Gross-Pitaevskii equation (GPE). At sufficiently low velocity of the incident molecule we observe quantum reflection from the potential well. Predictions of the mathematical model are compared with numerical simulations of the GPE, and good qualitative agreement between them is demonstrated. 2015 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/44855/1/abstract_aaqp2015.pdf Umarov, Bakhram and Baizakov, B. B. and Aklana, Nor Amirah Busul and Abdullaev, Fatkhulla (2015) Scattering of a two-soliton molecule by attractive potential well. In: International Conference of Algebra, Analysis and Quantum Probability, 10-12 September, 2015, Tashkent, Uzbekistan. http://conf2015.azurewebsites.net/eng/index.html |
| spellingShingle | QA Mathematics QC Physics Umarov, Bakhram Baizakov, B. B. Aklana, Nor Amirah Busul Abdullaev, Fatkhulla Scattering of a two-soliton molecule by attractive potential well |
| title | Scattering of a two-soliton molecule by attractive potential well |
| title_full | Scattering of a two-soliton molecule by attractive potential well |
| title_fullStr | Scattering of a two-soliton molecule by attractive potential well |
| title_full_unstemmed | Scattering of a two-soliton molecule by attractive potential well |
| title_short | Scattering of a two-soliton molecule by attractive potential well |
| title_sort | scattering of a two-soliton molecule by attractive potential well |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/44855/ http://irep.iium.edu.my/44855/ http://irep.iium.edu.my/44855/1/abstract_aaqp2015.pdf |