The Phase Diagram of the Quantum Curie-Weiss Model
Probability
2009-11-13 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0804.1605,
title = {The Phase Diagram of the Quantum Curie-Weiss Model},
author = {Lincoln Chayes and Nicholas Crawford and Dmitry Ioffe and Anna Levit},
journal= {arXiv preprint arXiv:0804.1605},
year = {2009}
}
Comments
20 pages/Removed Bracket from title