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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/23523
Title: 
Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
Author(s): 
Institution: 
  • Bharathidasan Univ
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0953-4075
Abstract: 
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.
Issue Date: 
28-Jun-2003
Citation: 
Journal of Physics B-atomic Molecular and Optical Physics. Bristol: Iop Publishing Ltd, v. 36, n. 12, p. 2501-2513, 2003.
Time Duration: 
2501-2513
Publisher: 
Iop Publishing Ltd
Source: 
http://dx.doi.org/10.1088/0953-4075/36/12/310
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/23523
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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