Collapse of the metastable state in an attractive Bose-Einstein condensate.
The characteristic features of the collapse of the ground state in trapped one-component attractive Bose-Einstein condensates are studied by applying the catastrophe theory. From numerically obtained stable and unstable solutions of the Gross-Pitaevskii equation, we derive the catastrophe function defining the stability of the stationary points on the Gross-Pitaevskii energy functional. The bifurcation diagram and the universal scaling laws stemming from the catastrophe function show quantitative agreement with the numerical results.
Kim
Jae Gil
JG
Department of Chemistry and School of Molecular Science (BK 21), Korea Advanced Institute of Science and Technology, 373-1, Gusongdong, Yusongku, Taejon, Korea.
Choi
Yoon-Hyuck Sean
YH
Lee
Eok Kyun
EK