Pattern formation of correlated impurities subjected to an impurity-medium interaction pulse

We study the correlated dynamics of few interacting bosonic impurities immersed in a one-dimensional harmonically trapped environment. The mixture is exposed to time-dependent impurity-medium interaction pulse moving it across relevant phase-separation boundary. For modulation frequencies smaller than trapping one, system successively transits through miscible and immiscible phases according driving interactions. strong modulations, from regime, significant fraction expelled edges bath. They exhibit localization behavior tend equilibrate. Following reverse protocol, perform breathing motion while featuring two-body clustering bath split into two incoherent parts. Interestingly, both scenarios, dark-bright solitons are nucleated absence correlations. A around trap center for weak impurity-impurity repulsions revealed, which subsequently disperse increasing