Strong coupling expansion for the Bose-Hubbard and the Jaynes-Cummings lattice model
Mesoscale and Nanoscale Physics
2012-07-27 v6 Other Condensed Matter
Quantum Physics
Abstract
A strong coupling expansion, based on the Kato-Bloch perturbation theory, which has recently been proposed by Eckardt et al. [Phys. Rev. B 79, 195131] and Teichmann et al. [Phys. Rev. B 79, 224515] is implemented in order to study various aspects of the Bose-Hubbard and the Jaynes-Cummings lattice model. The approach, which allows to generate numerically all diagrams up to a desired order in the interaction strength is generalized for disordered systems and for the Jaynes-Cummings lattice model. Results for the Bose-Hubbard and the Jaynes-Cummings lattice model will be presented and compared with results from VCA and DMRG. Our focus will be on the Mott insulator to superfluid transition.
Keywords
Cite
@article{arxiv.1105.2418,
title = {Strong coupling expansion for the Bose-Hubbard and the Jaynes-Cummings lattice model},
author = {Christoph Heil and Wolfgang von der Linden},
journal= {arXiv preprint arXiv:1105.2418},
year = {2012}
}
Comments
29 pages, 21 figures