UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

Simple universal models capture all classical spin physics

De Las Cuevas, G; Cubitt, TS; (2016) Simple universal models capture all classical spin physics. Science , 351 (6278) pp. 1180-1183. 10.1126/science.aab3326. Green open access

[img]
Preview
Text
UH-combined.pdf - ["content_typename_Accepted version" not defined]

Download (1MB) | Preview

Abstract

Spin models are used in many studies of complex systems because they exhibit rich macroscopic behavior despite their microscopic simplicity. Here, we prove that all the physics of every classical spin model is reproduced in the low-energy sector of certain "universal models," with at most polynomial overhead. This holds for classical models with discrete or continuous degrees of freedom.We prove necessary and sufficient conditions for a spin model to be universal and show that one of the simplest and most widely studied spin models, the two-dimensional Ising model with fields, is universal. Our results may facilitate physical simulations of Hamiltonians with complex interactions.

Type: Article
Title: Simple universal models capture all classical spin physics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1126/science.aab3326
Publisher version: http://dx.doi.org/10.1126/science.aab3326
Language: English
Additional information: © 2016 American Association for the Advancement of Science. All rights Reserved.
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/1477525
Downloads since deposit
229Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item