title: Nonlinear effects in interference of bose-einstein condensates
abstract: Nonlinear effects in the interference of Bose-Einstein condensates are studied using exact solutions of the one-dimensional nonlinear Schrodinger equation, which is applicable when the lateral motion is confined or negligible. With the inverse scattering method, the interference pattern is studied as a scattering problem with the linear Schrodinger equation, whose potential is profiled by the initial density distribution of the condensates. Our theory not only provides an analytical framework for quantitative predictions for the one-dimensional case, it also gives an intuitive understanding of some mysterious features of the interference patterns observed in experiments and numerical simulations.
authors.affiliation: Department of Physics, The University of Texas at Austin, Austin, Texas 78712-1081 and Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China.
authors.initials: WM
authors.lastname: Liu
authors.initials: B
authors.lastname: Wu
authors.initials: Q
authors.lastname: Niu