Abstract
We investigate two vector-soliton–like matter waves collisions in two-component Bose-Einstein condensates with attractive interactions and Gaussian barrier. We present a detailed numerical analysis of the roles of atomic interactions, barrier, relative velocity, and relative phase in collisional dynamics. We show that the interspecies interactions are crucial to make the wave packet propagate as a “breather”. We find that the collision-induced trajectory shifts of waves are mainly determined by the intraspecies interactions and proportional to them in the weak nonlinearity regime. Moreover, we explore the meeting time of colliding waves and find it depends on the competition between barrier potential and atomic interactions. Particularly, we study the collisions of two waves with a slight velocity asymmetry (or with different relative phases) and the waves merging and split are demonstrated. The underlying inelastic mechanism closely related to energy exchange is briefly discussed as well.
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