Quantum Phase Transitions in the Bosonic Single-Impurity Anderson Model

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.

4 pages, 4 figures

References in corpus (8)

• The cold atom Hubbard toolbox
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• Atomic quantum dots coupled to BEC reservoirs
• Numerical Renormalization Group for Quantum Impurities in a Bosonic Bath
• Impurity Quantum Phase Transitions
• The Kondo effect in bosonic spin liquids
• Dynamical Mean-Field Theory - from Quantum Impurity Physics to Lattice Problems

Cited by in corpus (11)

• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Quantum phase transitions in photonic cavities with two-level systems
• Dynamical Mean Field Theory for the Bose-Hubbard Model
• Bosonic Josephson effect in the Fano-Anderson model
• NRG for the bosonic single-impurity Anderson model: Dynamics
• Transient phases and dynamical transitions in the post quench evolution of the generalized Bose-Anderson model
• Critical behavior at dynamical phase transition in the generalized Bose-Anderson model
• Nonequilibrium properties of an atomic quantum dot coupled to a Bose-Einstein condensate
• Symmetry breaking and physical properties of the bosonic single-impurity Anderson model
• Boundary quantum criticality in models of magnetic impurities coupled to bosonic baths