One-dimensional reduction of the three-dimenstional Gross-Pitaevskii equation with two- and three-body interactions
Carregando...
Data
2011
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
We deal with the three-dimensional Gross-Pitaevskii equation which is used to describe a cloud of dilute
bosonic atoms that interact under competing two- and three-body scattering potentials. We study the case where
the cloud of atoms is strongly confined in two spatial dimensions, allowing us to build an unidimensional nonlinear
equation,controlled by the nonlinearities and the confining potentials that trap the system along the longitudinal
coordinate.We focus attention on specific limits dictated by the cubic and quintic coefficients, and we implement
numerical simulations to help us to quantify the validity of the procedure.
Descrição
Palavras-chave
Citação
CARDOSO, W. B; AVELAR, A. T; BAZEIA, D. One-dimensional reduction of the three-dimenstional Gross-Pitaevskii equation with two- and three-body interactions. Physical Review. E, Melville, v. 83, e036604, 2011.