Correlation inequalities for classical and quantum XY models
| Autor: | Benassi, Costanza, Lees, Benjamin, Ueltschi, Daniel |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Advances in Quantum Mechanics, A. Michelangeli, G. Dell'Antonio (eds.), Springer INdAM Series 18, pp. 15-31 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/978-3-319-58904-6_2 |
| Popis: | We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum cases. We also discuss an explicit lower bound on the critical temperature of the quantum XY model. Comment: 13 pages. Submitted to the volume "Advances in Quantum Mechanics: contemporary trends and open problems" of the INdAM-Springer series, proceedings of the INdAM meeting "Contemporary Trends in the Mathematics of Quantum Mechanics" (4-8 July 2016) organised by G. Dell'Antonio and A. Michelangeli |
| Databáze: | arXiv |
| Externí odkaz: |
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