Locality and nonlocality of classical restrictions of quantum spin systems with applications to quantum large deviations and entanglement

DOI10.1063/1.4906767zbMath1312.82002arXiv1312.4782OpenAlexW3102585526MaRDI QIDQ5178221

Christian Maes, Marius Schütz, Karel Netočný, Wojciech De Roeck

Publication date: 13 March 2015

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

Full work available at URL: https://arxiv.org/abs/1312.4782

zbMATH Keywords

quantum spin systemslarge deviationsentanglementGibbsianness

Mathematics Subject Classification ID

Large deviations (60F10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (6)

Large deviations in weakly interacting fermions: Generating functions as Gaussian Berezin integrals and bounds on large Pfaffians ⋮ Large deviations for quantum spin probabilities at temperature zero ⋮ The Widom -- Rowlinson model under spin flip: immediate loss and sharp recovery of quasilocality ⋮ Quantum spin probabilities at positive temperature are Hölder Gibbs probabilities ⋮ Classical restrictions of generic matrix product states are quasi-locally Gibbsian ⋮ An exponentially local spectral flow for possibly non-self-adjoint perturbations of non-interacting quantum spins, inspired by KAM theory

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