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Simulating Ising and n-state planar Potts models and external fields with nonequilibrium condensates

cam.issuedOnline2018-12-04
cam.orpheus.counter12
cam.orpheus.successTue Jun 16 10:40:33 BST 2020 - Embargo updated
dc.contributor.authorBerloff, NG
dc.contributor.authorKalinin, Kirill
dc.contributor.orcidBerloff, Natalia [0000-0003-2114-4321]
dc.contributor.orcidKalinin, Kirill [0000-0003-0622-3056]
dc.date.accessioned2019-01-18T00:30:49Z
dc.date.available2019-01-18T00:30:49Z
dc.description.abstractClassical spin models with discrete or continuous degrees of freedom arise in many studies of complex physical systems. A wide class of hard real-life optimisation problems can be formulated as a minimisation of a spin Hamiltonian. Here we show how to simulate the discrete Ising and n-state planar Potts models with or without external fields using the physical gain-dissipative platforms with continuous phases such as lasers and various non-equilibrium Bose-Einstein condensates. The underlying operational principle originates from a combination of resonant and non-resonant pumping. Our results lay grounds for the physical simulations of a broad range of Hamiltonians with complex interactions that can vary in time and space and with combined symmetries.
dc.description.sponsorshipThe authors acknowledge financial support from the NGP MIT-Skoltech. K.P.K. acknowledges the financial support from Cambridge Trust and EPSRC.
dc.identifier.doi10.17863/CAM.35472
dc.identifier.issn1079-7114
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/288156
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.urlhttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.235302
dc.titleSimulating Ising and n-state planar Potts models and external fields with nonequilibrium condensates
dc.typeArticle
dcterms.dateAccepted2018-11-13
prism.number235302
prism.publicationNamePhysical Review Letters
prism.volume121
rioxxterms.licenseref.startdate2018-11-13
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionAM
rioxxterms.versionofrecord10.1103/PhysRevLett.121.235302

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