Unidimensional reduction of the 3D Gross-Pitaevskii equation with two- and three-body interactions
arXiv:1012.1839 · doi:10.1103/PhysRevE.83.036604
Abstract
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.
arXiv comment6 pages, 4 figures; version to appear in PRE
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- Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap
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