The dynamics of two-component Bose–Einstein condensates (BECs) in a double-well potential is studied here. Interspecies (or component–component) couplings are taken into account. As a consequence of the couplings, more fixed points may appear in the BECs. We analyze the stability of the system around some special fixed points that are independent of the couplings. A critical interspecies coupling constant below which fixed points are stable is presented and analyzed. Numerical simulation of the dynamics of the two-component BECs is also presented and discussed.
We investigate the dynamics of two weakly coupled Bose condensates in long cigar-shaped traps. The Bose condensates are characterized by attractive mean-field interaction and consequently can be studied in terms of bright solitons. We exploit the analogy with directional fibre couplers in nonlinear fibre optics to uncover interesting dynamical regimes like switching of condensates from one trap to another and self-trapping of condensates. We also discuss the analogy between two weakly coupled Bose condensates and the Josephson junction in superfluids and superconductors.