TY - JOUR
T1 - Coupled-mode theory for Bose-Einstein condensates
AU - Ostrovskaya, Elena A.
AU - Kivshar, Yuri S.
AU - Lisak, Mietek
AU - Hall, Bjorn
AU - Cattani, Federica
AU - Anderson, Dan
PY - 2000/3
Y1 - 2000/3
N2 - We apply the concepts of nonlinear guided-wave optics to a Bose-Einstein condensate (BEC) trapped in an external potential. As an example, we consider a parabolic double-well potential and derive coupled-mode equations for the complex amplitudes of the BEC macroscopic collective modes. Our equations describe different regimes of the condensate dynamics, including the nonlinear Josephson effect for any separation between the wells. We demonstrate macroscopic self-trapping for both repulsive and attractive interactions, and confirm our results by direct numerical solution of the Gross-Pitaevskii-equation.
AB - We apply the concepts of nonlinear guided-wave optics to a Bose-Einstein condensate (BEC) trapped in an external potential. As an example, we consider a parabolic double-well potential and derive coupled-mode equations for the complex amplitudes of the BEC macroscopic collective modes. Our equations describe different regimes of the condensate dynamics, including the nonlinear Josephson effect for any separation between the wells. We demonstrate macroscopic self-trapping for both repulsive and attractive interactions, and confirm our results by direct numerical solution of the Gross-Pitaevskii-equation.
UR - http://www.scopus.com/inward/record.url?scp=0346819819&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.61.031601
DO - 10.1103/PhysRevA.61.031601
M3 - Article
SN - 1050-2947
VL - 61
SP - 316011
EP - 316014
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 031601
ER -