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Attractive ultra-cold fermions trapped in a one-dimensional periodicallyshaken opticla lattices are considered. For an appropriate resonant shaking thesystem realizes paradigmatic dimes physics described by Rice-Mele model. Theimportant feature of our system is the possible presence of controlled defects.They result in the creation of topologically protected loclaized modes carryingfractional particle number. Their possible experimental signatures arediscussed.

Rice-Mele model with topological solitons in an optical lattice