Parametric excitation of solitons in dipolar Bose Einstein condensates
In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The math...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing Company
2013
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| Online Access: | http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/1/Modern_Phys_Lett_2013.pdf |
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| author | Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B |
| author_facet | Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B |
| author_sort | Benseghir, A |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed
by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The mathematical model, based on the variational approximation, has been developed and applied to parametric excitation of the condensate due to periodically varying coefficient of nonlocal nonlinearity. The model predicts the waveform of solitons in dipolar condensates and describes their small amplitude dynamics quite accurately. Theoretical predictions are verified by numerical simulations
of the nonlocal Gross–Pitaevskii equation and good agreement between them is found. The results can lead to better understanding of the properties of ultra-cold quantum
gases, such as 52Cr, 164Dy and 168Er, where the long-range dipolar atomic interactions dominate the usual contact interactions. |
| first_indexed | 2025-11-14T15:35:00Z |
| format | Article |
| id | iium-32223 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:35:00Z |
| publishDate | 2013 |
| publisher | World Scientific Publishing Company |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-322232013-10-04T01:37:35Z http://irep.iium.edu.my/32223/ Parametric excitation of solitons in dipolar Bose Einstein condensates Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B QC Physics In this paper, we study the response of a Bose–Einstein condensate with strong dipole–dipole atomic interactions to periodically varying perturbation. The dynamics is governed by the Gross–Pitaevskii equation with additional nonlinear term, corresponding to a nonlocal dipolar interactions. The mathematical model, based on the variational approximation, has been developed and applied to parametric excitation of the condensate due to periodically varying coefficient of nonlocal nonlinearity. The model predicts the waveform of solitons in dipolar condensates and describes their small amplitude dynamics quite accurately. Theoretical predictions are verified by numerical simulations of the nonlocal Gross–Pitaevskii equation and good agreement between them is found. The results can lead to better understanding of the properties of ultra-cold quantum gases, such as 52Cr, 164Dy and 168Er, where the long-range dipolar atomic interactions dominate the usual contact interactions. World Scientific Publishing Company 2013-10-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/32223/1/Modern_Phys_Lett_2013.pdf Benseghir, A and Wan Abdullah, Wan Ahmad Tajuddin and Umarov, Bakhram and Baizakov, Bakhtiyor B (2013) Parametric excitation of solitons in dipolar Bose Einstein condensates. Modern Physics Letters B, 27 (25). 1350184(1)-350184(12). ISSN 1793-6640 (O), 0217-9849 (P) http://www.worldscientific.com/doi/abs/10.1142/S0217984913501844 10.1142/S0217984913501844 |
| spellingShingle | QC Physics Benseghir, A Wan Abdullah, Wan Ahmad Tajuddin Umarov, Bakhram Baizakov, Bakhtiyor B Parametric excitation of solitons in dipolar Bose Einstein condensates |
| title | Parametric excitation of solitons in dipolar Bose Einstein condensates |
| title_full | Parametric excitation of solitons in dipolar Bose Einstein condensates |
| title_fullStr | Parametric excitation of solitons in dipolar Bose Einstein condensates |
| title_full_unstemmed | Parametric excitation of solitons in dipolar Bose Einstein condensates |
| title_short | Parametric excitation of solitons in dipolar Bose Einstein condensates |
| title_sort | parametric excitation of solitons in dipolar bose einstein condensates |
| topic | QC Physics |
| url | http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/ http://irep.iium.edu.my/32223/1/Modern_Phys_Lett_2013.pdf |