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We study the quantum phase transition in the one-dimensional Bose–Hubbard model with three-body local interactions for densities ρ=2, 3, 4 and 5 by implementing the Density Matrix Renormalization Group method. This system shows two types of phases. One phase is incompressible (corresponding to the Mott insulator state) and the other compressible (the superfluid state). The critical points found correspond...
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