The Phase Diagram of the Quantum Curie-Weiss Model

Abstract

This paper studies a generalization of the Curie-Weiss model (the Ising model on a complete graph) to quantum mechanics. Using a natural probabilistic representation of this model, we give a complete picture of the phase diagram of the model in the parameters of inverse temperature and transverse field strength. Further analysis computes the critical exponent for the decay of the order parameter in the approach to the critical curve and gives useful stability properties of a variational problem associated with the representation.

20 pages/Removed Bracket from title

References in corpus (1)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model

Cited by in corpus (4)

• The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
• Energy gaps in quantum first-order mean-field-like transitions: The problems that quantum annealing cannot solve
• On the path integral representation for quantum spin models and its application to the quantum cavity method and to Monte Carlo simulations
• On quantum mean-field models and their quantum annealing