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Analyticity of the Gibbs state for a quantum anharmonic crystal: no order parameter

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Publication:1854628
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DOI10.1007/s00023-002-8642-5zbMath1016.82005OpenAlexW1979623310MaRDI QIDQ1854628

Valentin A. Zagrebnov, Robert Adol'fovich Minlos, Eugene A. Pechersky

Publication date: 7 August 2003

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-002-8642-5


zbMATH Keywords

uniquenessground stateanalyticityexternal fieldGibbs statestructural phase transitiondouble-well anharmonic oscillator


Mathematics Subject Classification ID

Statistical mechanics of ferroelectrics (82D45) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)


Related Items (6)

PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS ⋮ States of a one dimensional quantum crystal. ⋮ PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Bogoliubov quasiaverages: spontaneous symmetry breaking and the algebra of fluctuations ⋮ Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential




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