Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal

DOI10.1007/BF01053796zbMath0888.46054OpenAlexW2026746810MaRDI QIDQ1379491

Valentin A. Zagrebnov, André F. Verbeure

Publication date: 25 February 1998

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

Full work available at URL: https://doi.org/10.1007/bf01053796

zbMATH Keywords

quantum phase transitionabnormal and supernormal squeezed fluctuationsalgebra of fluctuation operators

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Phase transitions (general) in equilibrium statistical mechanics (82B26) Applications of functional analysis in statistical physics (46N55)

Related Items (22)

A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES ⋮ Quantum critical fluctuations in an anharmonic crystal model ⋮ Gaussian, non-Gaussian critical fluctuations in the Curie-Weiss model ⋮ Peierls-Fröhlich instability and Kohn anomaly ⋮ Scaling behaviour in the Bose gas ⋮ Fluctuation operators and spontaneous symmetry breaking ⋮ Random-field quantum spherical ferroelectric model ⋮ Critical exponents in the imperfect and the free Bose gas ⋮ Quantum fluctuations in mesoscopic systems ⋮ Critical Casimir effect: exact results ⋮ Small mass implies uniqueness of Gibbs states of a quantum crystal ⋮ Lie algebra of anomalously scaled fluctuations ⋮ Quantum criticality of the imperfect Bose gas inddimensions ⋮ Dynamics of quantum fluctuations in an anharmonic crystal model ⋮ EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Bogoliubov quasiaverages: spontaneous symmetry breaking and the algebra of fluctuations ⋮ Phase diagram and correlation functions of the anisotropic imperfect Bose gas in d dimensions ⋮ Hierarchical ferromagnetic vector spin model possessing the Lee-Yang property. Thermodynamic limit at the critical point and above ⋮ Algebraic structure of quantum fluctations ⋮ Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential ⋮ Quantum critical fluctuations in a ferroelectric model: Quasi-average approach

Cites Work

• Unnamed Item
• Non-commutative central limits
• Dynamics of fluctuations for quantum lattice systems
• Glauber dynamics of fluctuations
• Correlation inequalities and equilibrium states
• Critical fluctuations for quantum mean-field models

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