2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226841We theoretically explore the generation of few-body analogs of fractional quantum 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. By temporally varying the amplitude and phase of the trapping lasers, one can introduce a rotating deformation at each site. We analyze protocols for coherently transferring ground state clusters into highly correlated states, producing theoretical fidelities in excess of 99%.4 pages, 3 figures (13 subfigures) -- v2: published versionQuantum GasesMesoscale and Nanoscale PhysicsOther Condensed Mattertext