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 vanishing of the order parameter in the approach to the critical curve and gives useful stability properties for a variational problem associated with the representation.
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© 2008 by L. Chayes, N. Crawford, D. Ioffe, A. Levit. Reproduction, by any means, of the entire article for non-commercial purposes is permitted without charge.
The research of Nicholas Crawford, Dmitry Ioffe and Anna Levit was partly supported by the German-Israeli Foundation under the grant I-870-58.6/2005.
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Chayes, L., Crawford, N., Ioffe, D. et al. The Phase Diagram of the Quantum Curie-Weiss Model. J Stat Phys 133, 131–149 (2008). https://doi.org/10.1007/s10955-008-9608-x
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DOI: https://doi.org/10.1007/s10955-008-9608-x