International Journal of Modern Physics B
Variational approach for two-component condensates dynamics with two- and three-body interactions and external feeding
Maïk Delon Mboumba, A. B. Moubissi, Thierry Blanchard Ekogo, G. H. Ben-Bolie, Timoléon Crépin Kofané
Abstract
We study theoretically and numerically the dynamical behavior of two-component condensates with two- and three-body interactions in variable shape optical lattices and external feeding. By means of the variational approach, the evolution of the condensate amplitudes, widths and number of particles are investigated. The stability of stationary two-component solitons are derived through the Vakhitov–Kolokolov criterion which depends on the cubic and quintic nonlinearities. Direct numerical results of the two coupled Gross–Piteavskii equations (GPEs) which describe the dynamics of the two-component condensates are found to be in good agreement with the analytical predictions.