Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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10 pages, 10 figues

Scientific paper

10.1103/PhysRevA.70.053609

We study the Mott-insulator transition of bosonic atoms in optical lattices. Using perturbation theory, we analyze the deviations from the mean-field Gutzwiller ansatz, which become appreciable for intermediate values of the ratio between hopping amplitude and interaction energy. We discuss corrections to number fluctuations, order parameter, and compressibility. In particular, we improve the description of the short-range correlations in the one-particle density matrix. These corrections are important for experimentally observed expansion patterns, both for bulk lattices and in a confining trap potential.

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