Optics Express

Nonlinear evolution of the interacting Gaussian-shaped Matter Waves

Jun Chen, Zhang Zhang, Yunxian Liu, Qiang Lin

Published Jul 7, 2008• 3 citations

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.

DOI: 10.1364/oe.16.010918

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