The Phase Diagram of the Quantum Curie-Weiss Model

Details The Phase Diagram of the Quantum Curie-Weiss Model The Phase Diagram of the Quantum Curie-Weiss Model

2008-04-10

arxiv.org/abs/0804.1605v1

Mathematics

Probability

20 pages/Removed Bracket from title

Scientific paper

10.1007/s10955-008-9608-x

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.

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