Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2004-04-23
Phys. Rev. A 70, 053609 (2004)
Physics
Condensed Matter
Soft Condensed Matter
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.
Bruder Christoph
Marquardt Florian
Schroll C.
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