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Abstract
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.
Original language | English |
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Article number | 652026 |
Number of pages | 18 |
Journal | Advances in Mathematical Physics |
Volume | 2015 |
DOIs | |
Publication status | Published - 16 Dec 2015 |
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