An all-coupling theory for the Fröhlich polaron

Abstract

The Fröhlich model describes the interaction of a mobile impurity with a surrounding bath of phonons which leads to the formation of a quasiparticle, the polaron. In this article an efficient renormalization group approach is presented which provides a description of Fröhlich polarons in all regimes ranging from weak- to strong coupling. We apply the method to the Bose polaron problem of an ultracold impurity atom interacting with a background gas that is Bose-condensed. The extended renormalization group approach introduced here is capable to predict ground state properties for arbitrarily small impurity masses. This allows us to obtain the full phase diagram of the corresponding Bogoliubov-Fröhlich Hamiltonian, characterized by two dimensionless coupling constants. Our method is benchmarked by comparison of the ground state energy to recent diagrammatic quantum Monte Carlo calculations.

10 pages, 3 figures, text overlap with arXiv:1507.08248v1

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Cited by in corpus (24)

• Ab initio theory of polarons: formalism and applications
• Polarons from first principles, without supercells
• Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
• Strong coupling Bose polarons in a BEC
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• Neutral Impurities in a Bose-Einstein Condensate for Simulation of the Fröhlich-Polaron
• Ab initio self-consistent many-body theory of polarons at all couplings
• Strong coupling Bose polarons out of equilibrium: Dynamical RG approach
• Feynman path-integral treatment of the Bose polaron beyond the Fröhlich model
• Many-body bound states and induced interactions of charged impurities in a bosonic bath
• Mean-field construction for spectrum of one-dimensional Bose polaron
• Mean-field study of repulsive 2D and 3D Bose polarons
• Polaron in dilute 2D Bose gas at low temperatures
• The Renormalised Bogoliubov-Fröhlich Hamiltonian
• Angular self-localization of impurities rotating in a bosonic bath
• Fermi polaron in low-density spin-polarized neutron matter
• Engineering impurity Bell states through coupling with a quantum bath
• Impurity in a three-dimensional unitary Bose gas
• Impurity self-energy in the strongly-correlated Bose systems
• General memory kernels and further corrections to the variational path integral approach for the Bogoliubov-Fröhlich Hamiltonian
• Kubo-Martin-Schwinger relation for an interacting mobile impurity
• One-dimensional Fermi polaron after a kick: two-sided singularity of the momentum distribution, Bragg reflection and other exact results
• Polaron catastrophe within quantum acoustics
• Bose Polaron in a quantum fluid of light