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

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PhysRevA.70.053609.pdf
(Any fulltext), 580KB

Supplementary Material (public)

2004_Gutzwiller.png
(Supplementary material), 42KB

Citation

Schroll, C., Marquardt, F., & Bruder, C. (2004). Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model. Physical Review A, 70(5): 053609. doi:10.1103/PhysRevA.70.053609.


Cite as: http://hdl.handle.net/21.11116/0000-0001-307F-B
Abstract
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.