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http://acervodigital.unesp.br/handle/11449/23523
- Title:
- Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
- Bharathidasan Univ
- Universidade Estadual Paulista (UNESP)
- 0953-4075
- 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.
- 28-Jun-2003
- Journal of Physics B-atomic Molecular and Optical Physics. Bristol: Iop Publishing Ltd, v. 36, n. 12, p. 2501-2513, 2003.
- 2501-2513
- Iop Publishing Ltd
- http://dx.doi.org/10.1088/0953-4075/36/12/310
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/23523
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