Stability and dynamics of a two-component Bose-Einstein condensate in ring ladders
We investigate the dynamics of a two-component Bose-Einstein condensate trapped in two coupled rings in ladder configuration. First, we derive from the two-component Gross-Pitaevskii equation a few state model for the angular momentum modes. Then, we analyse the stability of the stationary states by...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/124277 |
| Acceso en línea: | https://hdl.handle.net/2117/124277 |
| Access Level: | acceso abierto |
| Palabra clave: | Bose-Einstein condensation Interferometry Quantum optics Two-component Bose-Einstein condensate toroidal potential Bogoliubov spectrum Josephson oscillations self-trapping. Condensació de Bose-Einstein Interferometria Òptica quàntica Àrees temàtiques de la UPC::Enginyeria de la telecomunicació |
| Sumario: | We investigate the dynamics of a two-component Bose-Einstein condensate trapped in two coupled rings in ladder configuration. First, we derive from the two-component Gross-Pitaevskii equation a few state model for the angular momentum modes. Then, we analyse the stability of the stationary states by solving the Bogoliubov-de Gennes equations. Also, we study the dynamics of the system for an arbitrary population imbalance between the rings, characterizing the transition from Josephson oscillations to quantum self-trapping. We also derive the self-trapping condition for the bosonic mixture, finding simultaneous self-trapping of the two components. |
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