title: Nonlinear evolution of the interacting Gaussian-shaped matter waves.
abstract: The nonlinear evolution of a Gaussian-shaped matter wave with weak interaction among atoms is investigated analytically. An effective complex curvature is introduced to describe the interacting matter wave, and the evolution formula of the effective complex curvature is derived. The conditions under which the analytic formula can be used are presented. As an example, focusing of a coherent matter wave with the repulsive interaction among atoms is calculated and analyzed. The evolution characteristics of the matter wave with and without interactions are compared and discussed.
authors.affiliation: Department of Physics, Institute of Optics, Zhejiang University, Hangzhou, China.
authors.forename: Jun
authors.initials: J
authors.lastname: Chen
authors.forename: Zhang
authors.initials: Z
authors.lastname: Zhang
authors.forename: Yunxian
authors.initials: Y
authors.lastname: Liu
authors.forename: Qiang
authors.initials: Q
authors.lastname: Lin
mesh_terms: D003198:Computer Simulation; D007834:Lasers; D008027:Light; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D016011:Normal Distribution; D012542:Scattering, Radiation