One-dimensional description of a Bose-Einstein condensate in a rotating closed-loop waveguide
arXiv:cond-mat/0606262 · doi:10.1088/1367-2630/8/8/162
Abstract
We propose a general procedure for reducing the three-dimensional Schrodinger equation for atoms moving along a strongly confining atomic waveguide to an effective one-dimensional equation. This procedure is applied to the case of a rotating closed-loop waveguide. The possibility of including mean-field atomic interactions is presented. Application of the general theory to characterize a new concept of atomic waveguide based on optical tweezers is finally discussed.