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https://scholarbank.nus.edu.sg/handle/10635/16603
DC Field | Value | |
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dc.title | Analytical and numerical studies of Bose - Einstein condensates | |
dc.contributor.author | LIM FONG YIN | |
dc.date.accessioned | 2010-04-08T11:06:57Z | |
dc.date.available | 2010-04-08T11:06:57Z | |
dc.date.issued | 2009-03-20 | |
dc.identifier.citation | LIM FONG YIN (2009-03-20). Analytical and numerical studies of Bose - Einstein condensates. ScholarBank@NUS Repository. | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/16603 | |
dc.description.abstract | This thesis presents the analytical and numerical studies of Bose-Einstein condensates (BECs) in cold dilute atomic gases, within the description of the mean field theory and the Gross-Pitaevskii equation (GPE). The ground state of a single component BEC confined in external potential is studied analytically through asymptotic approximation, in both strongly repulsively and strongly attractively interacting regimes. Symmetry breaking of a weakly attractively interacting BEC confined in a one-dimensional double well potential is also studied. In numerical study, the normalized gradient flow method utilized with the sine-pseudospectral method is introduced to solve the GPE for the ground state effectively. The method is then extended to spin-1 BEC which is described by three-component coupled GPEs. Finally, a study on the transport of a strongly repulsively interacting BEC through a shallow optical lattice of finite width is presented. A dynamical self-trapped state is observed and it can be explained by the nonlinear band structure in a periodic potential. | |
dc.language.iso | en | |
dc.subject | Bose-Einstein condensation, Gross-Pitaevskii equation, asymptotic approximation, normalized gradient flow, spinor condensates, optical lattice | |
dc.type | Thesis | |
dc.contributor.department | MATHEMATICS | |
dc.contributor.supervisor | BAO WEIZHU | |
dc.description.degree | Ph.D | |
dc.description.degreeconferred | DOCTOR OF PHILOSOPHY | |
dc.identifier.isiut | NOT_IN_WOS | |
Appears in Collections: | Ph.D Theses (Open) |
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Thesis.pdf | 3.73 MB | Adobe PDF | OPEN | None | View/Download |
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