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We analyze how the presence of the bound state on top of strongintercomponent contact repulsion affects the dynamics of a two-componentultracold Fermi gas confined in a one-dimensional harmonic trap. By performingfull many-body numerical calculations, we retrieve dynamics of an initiallyphase separated state that has been utilized to excite the spin-dipole mode inexperimental settings. We observe an appearance of pairing correlations at thedomain wall, heralding the onset of a molecular faction at the interlayerbetween the components. We find that such a mechanism can be responsible forthe stabilization of the phase separation.

Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas