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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Analysis of the Complex Gross-Pitaevskii Equation for the Bose-Einstein Condensation of Exciton-Polaritons (M.Sc. thesis)дипломная работа (Магистр)
- Научный руководитель: Касимов Аслан
- Автор: Sierra Jesús
- Тип: Магистр
- Организация, в которой проходила защита: King Abdullah University of Science and Technology
- Год защиты: 2011
- Аннотация: Considered as a fundamental step for the development of the atomic laser and quantum computing, as well as the theoretical explanation of super uidity, the Bose- Einstein condensate (BEC) has emerged as one of the most important topics in mod- ern physics. This project is devoted to the analysis of a condensate based on exciton-polaritons. This BEC is characterized by a high critical temperature of condensation (about 20 K) and non-equilibrium dynamics. A mathematical model called complex Gross- Pitaevskii equation (cGPE) is used to describe its behavior. The steady state solutions of the cGPE are studied and a numerical method based on a collocation method is proposed in order to nd these solutions. Once the steady state solutions are found, a linear stability analysis is performed, demonstrating that the steady state solutions become unstable as the pumping spot radius increases. Finally, the manifestations of these instabilities are analyzed by direct simulation of the cGPE, using a second order time-splitting spectral method. As a result, it is possible to see the formation of quantum vortices, which increase in amount as the pumping spot radius increases.
- Добавил в систему: Касимов Аслан Рамазанович