Quantum Phase Transitions in the Bosonic Single-Impurity Anderson Model

Details Quantum Phase Transitions in the Bosonic Single-Impurity Anderson Model Quantum Phase Transitions in the Bosonic Single-Impurity Anderson Model

2006-06-13

arxiv.org/abs/cond-mat/0606325v1

Eur. Phys. J. B 56, 199 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1140/epjb/e2007-00118-3

We consider a quantum impurity model in which a bosonic impurity level is coupled to a non-interacting bosonic bath, with the bosons at the impurity site subject to a local Coulomb repulsion U. Numerical renormalization group calculations for this bosonic single-impurity Anderson model reveal a zero-temperature phase diagram where Mott phases with reduced charge fluctuations are separated from a Bose-Einstein condensed phase by lines of quantum critical points. We discuss possible realizations of this model, such as atomic quantum dots in optical lattices. Furthermore, the bosonic single-impurity Anderson model appears as an effective impurity model in a dynamical mean-field theory of the Bose-Hubbard model.

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