Strict deformation quantization of the state space of Mk(ℂ) with applications to the Curie–Weiss model

DOI10.1142/S0129055X20500312zbMath1469.46069arXiv1909.10947OpenAlexW2975528925MaRDI QIDQ5148342

Christiaan J. F. van de Ven, Valter Moretti, Nicolaas P. Landsman

Publication date: 3 February 2021

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

Full work available at URL: https://arxiv.org/abs/1909.10947

zbMATH Keywords

deformation quantizationspontaneous symmetry breakingclassical limitCurie-Weiss model\( C^\ast \)-algebras

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Coherent states (81R30) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (10)

Strict deformation quantization of abelian lattice gauge fields ⋮ The classical limit and spontaneous symmetry breaking in algebraic quantum theory ⋮ Emergent phenomena in nature: a paradox with theory? ⋮ The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems ⋮ The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as an emergent phenomenon ⋮ Strict deformation quantization and local spin interactions ⋮ Bulk-boundary asymptotic equivalence of two strict deformation quantizations ⋮ The classical limit of mean-field quantum spin systems ⋮ Entanglement of classical and quantum short-range dynamics in mean-field systems ⋮ Injective tensor products in strict deformation quantization

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