Publicação: Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
Nenhuma Miniatura disponível
Data
2003-06-28
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Iop Publishing Ltd
Tipo
Artigo
Direito de acesso
Acesso restrito
Resumo
We suggest a pseudospectral method for solving the three-dimensional time-dependent Gross-Pitaevskii (GP) equation, and use it to study the resonance dynamics of a trapped Bose-Einstein condensate induced by a periodic variation in the atomic scattering length. When the frequency of oscillation of the scattering length is an even multiple of one of the trapping frequencies along the x, y or z direction, the corresponding size of the condensate executes resonant oscillation. Using the concept of the differentiation matrix, the partial-differential GP equation is reduced to a set of coupled ordinary differential equations, which is solved by a fourth-order adaptive step-size control Runge-Kutta method. The pseudospectral method is contrasted with the finite-difference method for the same problem, where the time evolution is performed by the Crank-Nicholson algorithm. The latter method is illustrated to be more suitable for a three-dimensional standing-wave optical-lattice trapping potential.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Journal of Physics B-atomic Molecular and Optical Physics. Bristol: Iop Publishing Ltd, v. 36, n. 12, p. 2501-2513, 2003.
