Quantum Griffiths inequalities

DOI10.1007/s10955-016-1546-4zbMath1348.82022arXiv1507.05355OpenAlexW1702722416MaRDI QIDQ315661

Tadahiro Miyao

Publication date: 22 September 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05355

zbMATH Keywords

reflection positivityground statesHubbard modeloperator inequalitiesPerron-Frobenius theoremBose-Hubbard modelGriffiths inequalityquantum Ising modelquantum rotor modelself-dual conesnon-relativistic quantum field theory

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (22)

Quantum Griffiths inequalities ⋮ Nondegeneracy of the ground state for nonrelativistic Lee model ⋮ Effective mass of the polaron -- revisited ⋮ Nagaoka's theorem in the Holstein-Hubbard model ⋮ Monotonicity of the polaron energy. II: General theory of operator monotonicity ⋮ Renewal approach for the energy-momentum relation of the Fröhlich polaron ⋮ On the global minimum of the energy-momentum relation for the polaron ⋮ Ground state properties of the periodic Anderson model with electron-phonon interactions ⋮ Infraparticle states in the massless Nelson model: revisited ⋮ Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron ⋮ Ubiquity of bound states for the strongly coupled polaron ⋮ Note on the one-dimensional Holstein-Hubbard model ⋮ On the semigroup generated by the renormalized Nelson Hamiltonian ⋮ On renormalized Hamiltonian nets ⋮ Asymptotics in spin-boson type models ⋮ Rigorous results concerning the Holstein-Hubbard model ⋮ Ground state properties of the SSH model ⋮ Monotonicity of the polaron energy ⋮ Upper bounds on the degeneracy of the ground state in quantum field models ⋮ Correlation inequalities for Schrödinger operators ⋮ Stability of ferromagnetism in many-electron systems ⋮ Mathematical analysis of quantum fields—Historical survey and a new asymptotic perturbation theory

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