Quantum macrostates, equivalence of ensembles, and an H-theorem

DOI10.1063/1.2217810zbMath1112.82005arXivmath-ph/0601027OpenAlexW3103616807MaRDI QIDQ3441963

Christian Maes, Karel Netočný, Wojciech De Roeck

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0601027

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Foundations of equilibrium statistical mechanics (82B03)

Related Items (11)

Normal typicality and von Neumann’s quantum ergodic theorem ⋮ Large deviations in the quantum quasi-1D jellium ⋮ The Shannon-McMillan theorem for AF \(C^\ast\)-systems ⋮ Boltzmann entropy of a freely expanding quantum ideal gas ⋮ Boltzmann's entropy during free expansion of an interacting gas ⋮ Gaussian concentration bound and ensemble equivalence in generic quantum many-body systems including long-range interactions ⋮ Thermalization and canonical typicality in translation-invariant quantum lattice systems ⋮ Locality and nonlocality of classical restrictions of quantum spin systems with applications to quantum large deviations and entanglement ⋮ A NOTE ON THE NON-COMMUTATIVE LAPLACE–VARADHAN INTEGRAL LEMMA ⋮ Large deviations in quantum spin chains ⋮ Typical support and Sanov large deviations of correlated states

Cites Work

• Large deviations for quantum spin systems
• Dynamics of fluctuations for quantum lattice systems
• Gibbs measures and phase transitions
• The Shannon-McMillan theorem for ergodic quantum lattice systems
• A quantum version of Sanov's theorem
• Large deviations in quantum lattice systems: one-phase region
• An extension of the Kac ring model
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