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We propose an experimental scheme to simulate the transverse field Isingmodel with cold atoms trapped in one-dimensional optical lattice. Majoranafermions are created at the ends of the optical lattice segment in topologicalphase. By controlling the addressing lasers, one can move, fuse and braid them.We also show that the non-Abelian braiding statistics of Majorana fermions canbe demonstrated unambiguously through the construction of two braidingoperations and distinguishing the resulting two output orthogonal collectivespin states. A nice feature of the scheme is that the strong fluorescenceprovided by the collective spin state can be readily detected in experiment.

Creation, manipulation and detection of Majorana fermions with cold atoms in optical lattice