On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems
Joint Authors
Hutchinson, J.
Keating, J. P.
Mezzadri, F.
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-15
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hutchinson, J.& Keating, J. P.& Mezzadri, F.. 2015. On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1053009
Modern Language Association (MLA)
Hutchinson, J.…[et al.]. On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems. Advances in Mathematical Physics No. 2015 (2015), pp.1-18.
https://search.emarefa.net/detail/BIM-1053009
American Medical Association (AMA)
Hutchinson, J.& Keating, J. P.& Mezzadri, F.. On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1053009
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053009