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.
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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 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: | https://discovery.ucl.ac.uk/id/eprint/1477525 |
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