On existence of ground states in the spin boson model

DOI10.1007/s00220-021-04185-wzbMath1479.81081arXiv2102.13373OpenAlexW3133925304MaRDI QIDQ2244091

Oliver Siebert, Benjamin Hinrichs, David Hasler

Publication date: 11 November 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13373

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Bosonic systems in quantum theory (81V73)

Related Items (6)

Generalized spin-boson models with non-normalizable form factors ⋮ FKN formula and ground state energy for the spin boson model with external magnetic field ⋮ Correlation bound for a one-dimensional continuous long-range Ising model ⋮ Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences ⋮ Non-Fock ground states in the translation-invariant Nelson model revisited non-perturbatively ⋮ Differential equations of quantum mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ground states in the spin Boson model
• Analytic perturbation theory and renormalization analysis of matter coupled to quantized radiation
• The ground state energy of the massless spin-boson model
• Convergent expansions in non-relativistic QED: analyticity of the ground state
• Smoothness and analyticity of perturbation expansions in QED
• The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field.
• Analyticity of the ground state energy for massless Nelson models
• The renormalized electron mass in non-relativistic quantum electrodynamics
• Absence of ground states for a class of translation invariant models of non-relativistic QED
• Ground state(s) of the spin-boson Hamiltonian
• Renormalization group analysis of spectral problems in quantum field theory
• Quantum electrodynamics of confined nonrelativistic particles
• On the existence and uniqueness of ground states of a generalized spin-boson model
• Ground state of a quantum particle coupled to a scalar Bose field
• On the existence of ground states for massless Pauli-Fierz Hamiltonians
• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
• Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
• Asymptotics in spin-boson type models
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis
• Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
• Ground states in non-relativistic quantum electrodynamics.

This page was built for publication: On existence of ground states in the spin boson model