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We theoretically explore the generation of few-body analogs of fractionalquantum Hall states. We consider an array of identical few-atom clusters(n=2,3,4), each cluster trapped at the node of an optical lattice. Bytemporally varying the amplitude and phase of the trapping lasers, one canintroduce a rotating deformation at each site. We analyze protocols forcoherently transferring ground state clusters into highly correlated states,producing theoretical fidelities in excess of 99%.

Stirring trapped atoms into fractional quantum Hall puddles