Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice
The present work is devoted to the theoretical investigation of the dynamics of Bose –Einstein condensates (BEC) in optical lattice with the long range magnetic dipole-dipole interaction between atoms. The system is described by a nonlocal nonlinear Schrodinger equation (NLSE). We consider the cas...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2011
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| Online Access: | http://irep.iium.edu.my/11712/ http://irep.iium.edu.my/11712/1/abstract_BEC.pdf |
| _version_ | 1848777358338686976 |
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| author | Umarov, Bakhram Benzeghir, Abdelaziz |
| author_facet | Umarov, Bakhram Benzeghir, Abdelaziz |
| author_sort | Umarov, Bakhram |
| building | IIUM Repository |
| collection | Online Access |
| description | The present work is devoted to the theoretical investigation of the dynamics of Bose –Einstein condensates (BEC) in optical lattice with the long range magnetic dipole-dipole interaction between atoms. The system is described by a nonlocal nonlinear Schrodinger equation (NLSE). We consider the case when the lattice depth is sufficiently large (tight binding approximation). In this case nonlocal NLSE can be reduced to discrete NLSE equation. We show that discrete NLSE equation for some range of parameters can be reduced further to integrable Ablowitz-Ladik equation which supports moving solitons. Taking the one-soliton solution of Ablowitz-Ladik equation as an initial condition we have performed detailed numerical study of a soliton dynamics in both nonlocal NLSE and discrete NLSE. The conditions of existence and stability of moving solitons in dipolar BEC in an optical lattice are numerically revealed. Also the applicability limits for the tight binding approximation for the experimentally achievable range of parameters are investigated.
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| first_indexed | 2025-11-14T14:44:43Z |
| format | Proceeding Paper |
| id | iium-11712 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:44:43Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-117122012-02-02T13:32:59Z http://irep.iium.edu.my/11712/ Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice Umarov, Bakhram Benzeghir, Abdelaziz QC Physics The present work is devoted to the theoretical investigation of the dynamics of Bose –Einstein condensates (BEC) in optical lattice with the long range magnetic dipole-dipole interaction between atoms. The system is described by a nonlocal nonlinear Schrodinger equation (NLSE). We consider the case when the lattice depth is sufficiently large (tight binding approximation). In this case nonlocal NLSE can be reduced to discrete NLSE equation. We show that discrete NLSE equation for some range of parameters can be reduced further to integrable Ablowitz-Ladik equation which supports moving solitons. Taking the one-soliton solution of Ablowitz-Ladik equation as an initial condition we have performed detailed numerical study of a soliton dynamics in both nonlocal NLSE and discrete NLSE. The conditions of existence and stability of moving solitons in dipolar BEC in an optical lattice are numerically revealed. Also the applicability limits for the tight binding approximation for the experimentally achievable range of parameters are investigated. 2011 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/11712/1/abstract_BEC.pdf Umarov, Bakhram and Benzeghir, Abdelaziz (2011) Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice. In: NANO-SciTech 2011, 2-3 March, 2011, Concorde Hotel, Shah Alam, Selangor, Malaysia. (Unpublished) http://ios.uitm.edu.my/nano-scitech2011/ |
| spellingShingle | QC Physics Umarov, Bakhram Benzeghir, Abdelaziz Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice |
| title | Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice |
| title_full | Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice |
| title_fullStr | Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice |
| title_full_unstemmed | Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice |
| title_short | Solitons mobility in a dipolar Bose-Einstein condensate in an optical lattice |
| title_sort | solitons mobility in a dipolar bose-einstein condensate in an optical lattice |
| topic | QC Physics |
| url | http://irep.iium.edu.my/11712/ http://irep.iium.edu.my/11712/ http://irep.iium.edu.my/11712/1/abstract_BEC.pdf |