Open AccessNonlinear evolution of the interacting Gaussian-shaped Matter Waves
Author(s) -
Jun Chen,
Zhang Zhang,
Yunxian Liu,
Qiang Lin
Publication year - 2008
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.16.010918
Subject(s) - matter wave , physics , curvature , nonlinear system , gaussian , statistical physics , classical mechanics , optics , quantum mechanics , quantum , geometry , mathematics
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.