Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method
We use homoclinic orbits to find solutions of a dynamical system of the dipolar Bose Einstein Condensate (BEC) in a deep optical lattice. The equation of motion is transformed to a two-dimensional map and its homoclinic orbits are computed numerically. Each homoclinic orbit leads to a different s...
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| Format: | Article |
| Language: | English |
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Institute of Physics Publishing (UK)
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/30872/1/Study_of_Localized_Solutions_of_the_Nonlinear_Discrete_Model_for_Dipolar_BEC.pdf |
| _version_ | 1825647375416295424 |
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| author | Messikh, Azeddin Umarov, Bakhram |
| author_facet | Messikh, Azeddin Umarov, Bakhram |
| author_sort | Messikh, Azeddin |
| collection | IIUM |
| description | We use homoclinic orbits to find solutions of a dynamical system of the dipolar Bose
Einstein Condensate (BEC) in a deep optical lattice. The equation of motion is transformed to
a two-dimensional map and its homoclinic orbits are computed numerically. Each homoclinic
orbit leads to a different solution. These different solutions lead to different types of solitons.
We also analyse the stability of the solutions. |
| first_indexed | 2024-03-05T23:16:40Z |
| format | Article |
| id | oai:generic.eprints.org:30872 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T23:16:40Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing (UK) |
| record_format | dspace |
| spelling | oai:generic.eprints.org:308722013-08-06T01:10:04Z http://irep.iium.edu.my/30872/ Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method Messikh, Azeddin Umarov, Bakhram QC Physics We use homoclinic orbits to find solutions of a dynamical system of the dipolar Bose Einstein Condensate (BEC) in a deep optical lattice. The equation of motion is transformed to a two-dimensional map and its homoclinic orbits are computed numerically. Each homoclinic orbit leads to a different solution. These different solutions lead to different types of solitons. We also analyse the stability of the solutions. Institute of Physics Publishing (UK) 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30872/1/Study_of_Localized_Solutions_of_the_Nonlinear_Discrete_Model_for_Dipolar_BEC.pdf Messikh, Azeddin and Umarov, Bakhram (2013) Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method. Journal of Physics: Conference Series, 435 (012026). 012026-1. ISSN 1742-6588 (P), 1742-6596 (O) http://iopscience.iop.org/1742-6596/435/1/012026 10.1088/1742-6596/435/1/012026 |
| spellingShingle | QC Physics Messikh, Azeddin Umarov, Bakhram Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method |
| title | Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method |
| title_full | Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method |
| title_fullStr | Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method |
| title_full_unstemmed | Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method |
| title_short | Study of localized solutions of the nonlinear discrete model for dipolar BEC in an optical lattice by the homoclinic orbit method |
| title_sort | study of localized solutions of the nonlinear discrete model for dipolar bec in an optical lattice by the homoclinic orbit method |
| topic | QC Physics |
| url | http://irep.iium.edu.my/30872/1/Study_of_Localized_Solutions_of_the_Nonlinear_Discrete_Model_for_Dipolar_BEC.pdf |
| work_keys_str_mv | AT messikhazeddin studyoflocalizedsolutionsofthenonlineardiscretemodelfordipolarbecinanopticallatticebythehomoclinicorbitmethod AT umarovbakhram studyoflocalizedsolutionsofthenonlineardiscretemodelfordipolarbecinanopticallatticebythehomoclinicorbitmethod |