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| Author(s): |
Hedhio Luiz Francisco da Luz
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2013-04-26 |
| Examining board members: |
Lauro Tomio;
Kaled Dechoum;
Marcelo Martinelli;
Antonio Fernando Ribeiro de Toledo Piza;
Valery Shchesnovich
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| Advisor: | Lauro Tomio |
| Abstract | |
In this thesis, the main objective was the verification of stability of condensed atomic systems, subject to different combinations of linear and nonlinear bi- and tridimensional optical lattices , considering some symmetric and asymmetric situations. With this objective, were performed variational analyzes and numerical exact simulations of the nonlinear Schrödinger-type equation that describes Bose-Einstein condensate systems, better known as Gross-Pitaevskii equation. In two-dimensional case, with a crossed linear and nonlinear optical lattice, the stability was confirmed for certain parameter regions of the interactions. It was observed that the stability disappears when including a third dimension without the presence of a confinement potential. In the three dimensional case, considering crossed linear and nonlinear optical lattices, stability occurs only when considering an interaction confining the third dimension, in this case a second linear optical lattice. Finally, it is expected that our results will be useful for experimental studies which have been done in the laboratories of ultra-cold atoms. Keywords: (AU) | |
| FAPESP's process: | 07/08493-5 - Dynamics and stability of Bose-Einstein condensates in linear and non-linear optical lattices. |
| Grantee: | Hedhio Luiz Francisco da Luz |
| Support Opportunities: | Scholarships in Brazil - Doctorate |