par Baye, Daniel Jean ;Sparenberg, Jean-Marc
Référence Physical review. E, Statistical, nonlinear, and soft matter physics, 82, 5, page (056701)
Publication Publié, 2010-11-01
Article révisé par les pairs
Résumé : The Lagrange-mesh method is an approximate variational calculation which has the simplicity of a mesh calculation. Combined with the imaginary-time method, it is applied to the iterative resolution of the Gross-Pitaevskii equation. Two variants of a fourth-order factorization of the exponential of the Hamiltonian and two types of mesh (Lagrange-Hermite and Lagrange-sinc) are employed and compared. The accuracy is checked with the help of these comparisons and of the virial theorem. The Lagrange-Hermite mesh provides very accurate results with short computing times for values of the dimensionless parameter of the nonlinear term up to 104. For higher values up to 107, the Lagrange-sinc mesh is more efficient. Examples are given for anisotropic and nonseparable trapping potentials. © 2010 The American Physical Society.