Dynamical mean field solution of the Bose-Hubbard model

Details Dynamical mean field solution of the Bose-Hubbard model Dynamical mean field solution of the Bose-Hubbard model

2010-04-04

arxiv.org/abs/1004.0510v3

Phys. Rev. Lett. 105, 096402 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 3 figures. includes supplementary material

Scientific paper

We present the effective action and self-consistency equations for the bosonic dynamical mean field (B-DMFT) approximation to the bosonic Hubbard model and show that it provides remarkably accurate phase diagrams and correlation functions. To solve the bosonic dynamical mean field equations we use a continuous-time Monte Carlo method for bosonic impurity models based on a diagrammatic expansion in the hybridization and condensate coupling. This method is readily generalized to bosonic mixtures, spinful bosons, and Bose-Fermi mixtures.

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