single-particle density evolution shows a completely different behavior, see Figs. \[abb:den3-1\] (c) and (d). The two components remain miscible throughout the evolution in accordance to the ground state properties discussed in Sec. \[in\_par\_imb\]. Moreover, an intrawell fragmentation emerges with the two filaments formed in $\rho_\sigma^{(1)}(x;t)$ within each well being more pronounced for the $B$-species, while the filamentary structure of the $A$-species is suppressed and hardly discernible \[see also the rectangles in Figs. \[abb:den3-1\] (c) and (d)\]. Finally, both clouds undergo a breathing motion with approximately the same frequency as the one observed in the HF approximation.

To infer about the effect of the majority species particle number on the nonequilibrium dynamics, we next consider a mass balanced FF mixture with $N_A=5$ and $N_B=1$. The corresponding single-particle density evolution following an interspecies interaction quench from $g_{AB}=0.1$ to $g_{AB}=4.0$ is shown in Figs. \[abb:den3-1\] (e) and (f) within the MB approach. As it can be deduced, a larger particle number of the majority component leads to an increased number of filaments within each well for each of the species as compared to the case of a smaller particle number \[compare Figs. \[abb:den3-1\] (c), (d) and (e), (f)\]. It is also worth mentioning 