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Extended fermionization of 1D bosons in optical lattices

Extended fermionization of 1D bosons in optical lattices

We present a model that generalizes the Boseā€“Fermi mapping for strongly correlated one-dimensional (1D) bosons trapped in combined optical lattice plus parabolic potentials, to cases in which the average number of atoms per site is larger than one. Using a decomposition in arrays of disjoint strongly interacting gases, this model ā€¦