Some properties of correlations of quantum lattice systems in thermal equilibrium

DOI10.1063/1.4921305zbMath1318.82008arXiv1412.2534OpenAlexW3102224947WikidataQ62458352 ScholiaQ62458352MaRDI QIDQ5253090

Jürg Fröhlich, Daniel Ueltschi

Publication date: 4 June 2015

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

Full work available at URL: https://arxiv.org/abs/1412.2534

zbMATH Keywords

thermodynamic limitquantum lattice system

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30) Thermal quantum field theory (81T28)

Related Items (11)

Existence of Néel order in the \(S=1\) bilinear-biquadratic Heisenberg model via random loops ⋮ Decay of correlations in 2D quantum systems with continuous symmetry ⋮ The Wasserstein distance of order 1 for quantum spin systems on infinite lattices ⋮ Almost everywhere ergodicity in quantum lattice models ⋮ Long-time dynamics in quantum spin lattices: ergodicity and hydrodynamic projections at all frequencies and wavelengths ⋮ Approach to equilibrium in translation-invariant quantum systems: some structural results ⋮ Locality estimates for complex time evolution in 1D ⋮ On the local equivalence between the canonical and the microcanonical ensembles for quantum spin systems ⋮ Gaussian concentration bound and ensemble equivalence in generic quantum many-body systems including long-range interactions ⋮ Correlation inequalities for the quantum XY model ⋮ Hydrodynamic projections and the emergence of linearised Euler equations in one-dimensional isolated systems

Cites Work

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• Absence of crystalline ordering in two dimensions
• Cluster expansion for abstract polymer models
• Low-temperature phase diagrams of quantum lattice systems. I: Stability for quantum perturbations of classical systems with finitely-many ground states.
• Low temperature phase diagrams for quantum perturbations of classical spin systems
• Some applications of the Lee-Yang theorem
• Random loop representations for quantum spin systems

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