The Phase Diagram of the Quantum Curie-Weiss Model

Autor:	Chayes, Lincoln, Crawford, Nicholas, Ioffe, Dmitry, Levit, Anna
Rok vydání:	2008
Předmět:	Mathematics - Probability Mathematical Physics 82B10
Druh dokumentu:	Working Paper
DOI:	10.1007/s10955-008-9608-x
Popis:	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. Comment: 20 pages/Removed Bracket from title
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0804.1605 Zobrazit plný text záznamu View this record from Arxiv