English

Dynamical mean field solution of the Bose-Hubbard model

Strongly Correlated Electrons 2013-05-29 v3 Quantum Gases

Abstract

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.

Keywords

Cite

@article{arxiv.1004.0510,
  title  = {Dynamical mean field solution of the Bose-Hubbard model},
  author = {Peter Anders and Emanuel Gull and Lode Pollet and Matthias Troyer and Philipp Werner},
  journal= {arXiv preprint arXiv:1004.0510},
  year   = {2013}
}

Comments

10 pages, 3 figures. includes supplementary material

R2 v1 2026-06-21T15:06:15.369Z