Dynamics of pair, trion, and other phases of one dimensional Fermi mixtures

We consider mixtures of two or three component fermions in one dimension. These mixtures are known to have rich phase diagrams. For example, three component mixtures with attractive interactions include (a) paired, (b) color-superfluid, and (c) trion phases. In order to understand how to distinguish these phases experimentally, we study the dynamics of these mixtures using time-evolving-block-decimation (TEBD). We focus on two types of experiments. First, we investigate the dynamics after a local perturbation, as would be measured in a cold-atoms experiment. Second, we compute the unequal-time correlation functions and use linear response theory to obtain the dc conductivity at a finite bias, as would be measured in a solid-state tunnel spectroscopy experiment.