Dynamical excitation processes and correlations of three-body two-dimensional mixtures

The quenched dynamics of Bose-Fermi ultracold mixtures in two-dimensional harmonic traps is investigated. For mass-imbalanced three-body systems, we exemplify a selective triggering of the available energy branches by considering different spatial extents of the initial non-interacting state and subsequently switching on the interactions. Our analysis shows that for prequenched non-interacting states with widths smaller than the harmonic oscillator length, trimer and atom-dimer states are predominantly populated, otherwise trap states are substantially contributing in the course of the evolution. The different excitations have a particular imprint in the dynamics of few-body correlations captured by the Tan contacts. The latter provide an independent probe for the dynamical formation of few-body bound states. Overall, the two- and three-body correlations are reduced for increasing width of the initial state. However, in the vicinity of avoided-crossings between trap and atom-dimer states of the post-quenched Hamiltonian the few-body correlations remain sharply enhanced.