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Signatures of the superfluid–to–Mott-insulator transition in cold bosonic atoms in a one-dimensional optical lattice
We study the Bose-Hubbard model using the finite size density matrix renormalization group method. We obtain a complete phase diagram for a system in the presence of a harmonic trap and compare it with that of the homogeneous system. The superfluid to the Mott-insulator phase transition is investigated using different …