On Existence of Ground States in the Spin Boson Model

Abstract

We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It works for arbitrary values of the coupling constant under the hypothesis that the second derivative of the ground state energy as a function of a constant external magnetic field is bounded.

arXiv comment14 pages

References in corpus (10)

• Ground States in Non-relativistic Quantum Electrodynamics
• Ground States in the Spin Boson Model
• Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED
• Analyticity of The Ground State Energy For Massless Nelson Models
• Analytic Perturbation Theory and Renormalization Analysis of Matter Coupled to Quantized Radiation
• On Existence of Ground States in the Spin Boson Model
• The Ground State Energy of The Massless Spin-Boson Model
• Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model
• Ground States for translationally invariant Pauli-Fierz Models at zero Momentum
• Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model

Cited by in corpus (15)

• On Existence of Ground States in the Spin Boson Model
• Generalized spin-boson models with non-normalizable form factors
• Transmission of quantum information through quantum fields in curved spacetimes
• Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences
• Sixth-order time-convolutionless master equation and beyond: Late-time resummations, two types of divergences, and the limits of validity
• The Unruh-DeWitt model and its joint interacting Hilbert space
• Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
• A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
• Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model
• FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
• Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences
• Entropic Fluctuation Theorems for the Spin-Fermion Model
• Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED
• Differential Equations of Quantum Mechanics
• Bipartite and tripartite entanglement in pure dephasing relativistic spin-boson model