Ground states for mean field models with a transverse component

Abstract

We investigate global logarithmic asymptotics of ground states for a family of quantum mean field models. Our approach is based on a stochastic representation and a combination of large deviation and weak KAM techniques. The spin- 1/2 case is worked out in more detail.

21 pages, 2 figures

References in corpus (5)

• Weak KAM theorem on non compact manifolds
• On quantum mean-field models and their quantum annealing
• The Phase Diagram of the Quantum Curie-Weiss Model
• Harmonic Approximation of Difference Operators
• Agmon-Type Estimates for a Class of Difference Operators

Cited by in corpus (7)

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• The classical limit and spontaneous symmetry breaking in algebraic quantum theory
• Layered systems at the mean field critical temperature
• Bulk-boundary asymptotic equivalence of two strict deformation quantizations
• The classical limit of mean-field quantum spin systems
• Renewal Contact Processes: phase transition and survival
• Large Deviations for stationary probabilities of a family of continuous time Markov chains via Aubry-Mather theory