Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
Two bright solitons in a dipolar Bose–Einstein condensate (BEC) can form stable bound states, known as soliton molecules. In this paper we study the scattering of a two-soliton molecule by external potential, using the simplest and analytically tractable Gaussian potential barriers and wells, in...
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IOP Publishing
2016
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| Online Access: | http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/1/AS-368268167663616%401464813381147_content_1.pdf http://irep.iium.edu.my/51306/4/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_SCOPUS.pdf http://irep.iium.edu.my/51306/6/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_WOS.pdf |
| _version_ | 1848783827987595264 |
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| author | Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh. |
| author_facet | Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh. |
| author_sort | Umarov, Bakhram A. |
| building | IIUM Repository |
| collection | Online Access |
| description | Two bright solitons in a dipolar Bose–Einstein condensate (BEC) can form stable bound states,
known as soliton molecules. In this paper we study the scattering of a two-soliton molecule by
external potential, using the simplest and analytically tractable Gaussian potential barriers and
wells, in one spatial dimension. Collisions of soliton molecules with single solitons are
investigated, the latter playing the role of a localized defect. Due to the long-range character of
dipolar forces solitons interact with each other even though their waveforms do not appreciably
overlap. This is an essentially different feature of dipolar solitons compared to their counterparts
in BECs with contact atomic interactions. The result of scattering significantly depends on the
potential’s strength and velocity of collision. For weak potentials and/or low velocity the
molecule preserves its coherence, meantime the internal modes are excited. Scattering by strong
potentials at moderately high velocity ends up with dissociation of the molecule. The theoretical
model is based on the variational approximation for the nonlocal Gross–Pitaevskii equation
(GPE). Predictions of the mathematical model are compared with numerical simulations of the
nonlocal GPE, and good qualitative agreement between them is demonstrated. |
| first_indexed | 2025-11-14T16:27:33Z |
| format | Article |
| id | iium-51306 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:27:33Z |
| publishDate | 2016 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-513062025-03-24T05:27:01Z http://irep.iium.edu.my/51306/ Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh. QA Mathematics QC Physics Two bright solitons in a dipolar Bose–Einstein condensate (BEC) can form stable bound states, known as soliton molecules. In this paper we study the scattering of a two-soliton molecule by external potential, using the simplest and analytically tractable Gaussian potential barriers and wells, in one spatial dimension. Collisions of soliton molecules with single solitons are investigated, the latter playing the role of a localized defect. Due to the long-range character of dipolar forces solitons interact with each other even though their waveforms do not appreciably overlap. This is an essentially different feature of dipolar solitons compared to their counterparts in BECs with contact atomic interactions. The result of scattering significantly depends on the potential’s strength and velocity of collision. For weak potentials and/or low velocity the molecule preserves its coherence, meantime the internal modes are excited. Scattering by strong potentials at moderately high velocity ends up with dissociation of the molecule. The theoretical model is based on the variational approximation for the nonlocal Gross–Pitaevskii equation (GPE). Predictions of the mathematical model are compared with numerical simulations of the nonlocal GPE, and good qualitative agreement between them is demonstrated. IOP Publishing 2016-06-28 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51306/1/AS-368268167663616%401464813381147_content_1.pdf application/pdf en http://irep.iium.edu.my/51306/4/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/51306/6/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_WOS.pdf Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah and Baizakov, Bakhtiyor B. and Abdullaev, Fatkhulla Kh. (2016) Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates. Journal of Physics B: Atomic, Molecular and Optical Physics, 49 (12). pp. 125307-1. ISSN 0953-4075 E-ISSN 1361-6455 http://iopscience.iop.org/article/10.1088/0953-4075/49/12/125307 10.1088/0953-4075/49/12/125307 |
| spellingShingle | QA Mathematics QC Physics Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Baizakov, Bakhtiyor B. Abdullaev, Fatkhulla Kh. Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates |
| title | Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates |
| title_full | Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates |
| title_fullStr | Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates |
| title_full_unstemmed | Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates |
| title_short | Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates |
| title_sort | scattering of a two-soliton molecule by gaussian potentials in dipolar bose–einstein condensates |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/ http://irep.iium.edu.my/51306/1/AS-368268167663616%401464813381147_content_1.pdf http://irep.iium.edu.my/51306/4/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_SCOPUS.pdf http://irep.iium.edu.my/51306/6/51306-Scattering_of_a_two-soliton_molecule_by_Gaussian_potentials_in_dipolar_Bose-Einstein_condensates_WOS.pdf |