Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases

We study the attractive Fermi mixture of a Li-6-K-40 gas in one dimension using the continuous matrix product states variational ansatz and obtain the T = 0 phase diagram. We predict an axial density profile that contains four distinct phases trapped induced along one-dimensional (1D) tubes, which is more intricate than those observed in 1D mass-balanced systems or in higher-dimensional gas clouds. The parameter regimes explored are realistic in view of possible future experiments. This is an application of continuous matrix product states to a nonintegrable fermionic system.