A NOTE ON THE NON-COMMUTATIVE LAPLACE–VARADHAN INTEGRAL LEMMA

DOI10.1142/S0129055X10004089zbMath1197.82034arXiv0808.0293OpenAlexW2128767303WikidataQ57453439 ScholiaQ57453439MaRDI QIDQ4931728

Luc Rey-Bellet, Christian Maes, Karel Netočný, Wojciech De Roeck

Publication date: 30 September 2010

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

Full work available at URL: https://arxiv.org/abs/0808.0293

zbMATH Keywords

quantum lattice systemsLaplace-Varadhan Lemmaquantum large deviations

Mathematics Subject Classification ID

Large deviations (60F10) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Classical dynamics generated by long-range interactions for lattice fermions and quantum spins ⋮ Исследование неустойчивости Саффмана-Тейлора в нефтесодержащем пласте в двумерной постановке задачи ⋮ RUELLE–LANFORD FUNCTIONS AND LARGE DEVIATIONS FOR ASYMPTOTICALLY DECOUPLED QUANTUM SYSTEMS ⋮ Non–cooperative equilibria of Fermi systems with long range interactions

Cites Work

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• Large deviations for quantum spin systems
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• Symmetric states of infinite tensor products of \(C^ *\)-algebras
• Large deviations in quantum lattice systems: one-phase region
• Quantum macrostates, equivalence of ensembles, and an H-theorem
• FREE ENERGY DENSITY FOR MEAN FIELD PERTURBATION OF STATES OF A ONE-DIMENSIONAL SPIN CHAIN
• Large deviations and Chernoff bound for certain correlated states on a spin chain
• Asymptotic probabilities and differential equations
• Large deviations for Gibbs random fields

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