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Quantum phase transitions in the bosonic single-impurity Anderson model

2006/06/13 by Hyun-Jung Lee, Jeong Yong Lee, Ralf Bulla +1 · 3 citations
Physics and Astronomy · #Anderson impurity model #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coulomb #Hubbard model #Impurity #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum fluctuation #Quantum mechanics #Quantum phase transition #Quantum phases #Superconductivity #cond-mat.other #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2007-00118-3

published as Eur. Phys. J. B 56, 199 (2007) · 4 pages, 4 figures

arxiv created 2006/06/13 · openalex publication_date 2007/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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