On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems

Autor: J. Hutchinson, J. P. Keating, F. Mezzadri
Jazyk: angličtina
Rok vydání: 2015
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Zdroj: Advances in Mathematical Physics, Vol 2015 (2015)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2015/652026
Popis: We exploit mappings between quantum and classical systems in order to obtain a class of two-dimensional classical systems characterised by long-range interactions and with critical properties equivalent to those of the class of one-dimensional quantum systems treated by the authors in a previous publication. In particular, we use three approaches: the Trotter-Suzuki mapping, the method of coherent states, and a calculation based on commuting the quantum Hamiltonian with the transfer matrix of a classical system. This enables us to establish universality of certain critical phenomena by extension from the results in the companion paper for the classical systems identified.
Databáze: Directory of Open Access Journals
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