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Title: Analysis and Computation for Coupling Bose-Einstein Condensates in Optical Resonators
Keywords: Coupling Bose-Einstein condensate, optical resonators, gradient flow with discrete normalization, time-splitting Sine spectral methods
Issue Date: 1-Aug-2010
Citation: XU WEIBIAO (2010-08-01). Analysis and Computation for Coupling Bose-Einstein Condensates in Optical Resonators. ScholarBank@NUS Repository.
Abstract: In this thesis, we unveil some properties of a mathematical model for coupling two-component Bose-Einstein condensate in the optical resonators. We propose a normalized gradient flow method with backward Euler Sine pseudospectral approach to compute the ground state. We also use our numerical solutions to study which factors may be useful for uniting BEC in optical resonators at equilibrium. By adjusting time-splitting Sine spectral methods to solve the model, we investigate the dynamics via simulating the dissipative process and interpret a `fusion? sense through observations from the results.
Appears in Collections:Master's Theses (Open)

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