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We consider repulsively-interacting cold fermionic atoms loaded on an opticalladder lattice in a trapping potential. The density-matrixrenormalization-group method is used to numerically calculate the ground statefor systematically varied values of interaction U and spin imbalance p in theHubbard model on the ladder. The system exhibits rich structures, where a fullyspin polarized phase, spatially separated from other domains in the trappingpotential, appears for large enough U and p. The phase-separated ferromagnetismcan be captured as a real-space image of the energy gap between theferromagnetic and other states arising from a combined effect of Nagaoka'sferromagnetism extended to the ladder and the density dependence of the energyseparation between competing states. We also predict how to maximize theferromagnetic region.

Phase-separated Ferromagnetism in Spin-imbalanced Fermi Atoms Loaded on an Optical Ladder: a DMRG study