Impurity localization, and collision properties of symbiotic dark-bright solitons in superfluid-impurity system

We investigate the dynamics of a binary mixture of Bose-Einstein condensates in the impurity limit – where one component is dilute enough to be treated like an impurity – and confined to two dimensions. Using the mean-field coupled Gross-Pitaevskii equations, we find that the binary mixture supports the formation of stable symbiotic dark-bright solitons when the inter- and intra-component interactions are repulsive. We further study the interaction between solitons and observe that the solitons undergo merging and repulsion depending on the relative phase between the bright component of the composite structure.