Show simple item record

dc.contributor.authorLesanovsky, Igoren
dc.contributor.authorMacieszczak, Katarzynaen
dc.contributor.authorGarrahan, Juan Pen
dc.date.accessioned2019-04-04T13:45:59Z
dc.date.available2019-04-04T13:45:59Z
dc.date.issued2019-01-21en
dc.identifier.issn2058-9565
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/291144
dc.description.abstractWe introduce a discrete-time quantum dynamics on a two-dimensional lattice that describes the evolution of a 1 + 1-dimensional spin system. The underlying quantum map is constructed such that the reduced state at each time step is separable. We show that for long times this state becomes stationary and displays a continuous phase transition in the density of excited spins. This phenomenon can be understood through a connection to the so-called Domany–Kinzel automaton, which implements a classical non-equilibrium process that features a transition to an absorbing state. Near the transition density–density correlations become long-ranged, and interestingly the same is the case for quantum correlations despite the separability of the stationary state. We quantify quantum correlations through the local quantum uncertainty and show that in some cases they may be determined experimentally solely by measuring expectation values of classical observables. This work is inspired by recent experimental progress in the realization of Rydberg lattice quantum simulators, which—in a rather natural way—permit the realization of conditional quantum gates underlying the discrete-time dynamics discussed here.
dc.description.sponsorshipThe research leading to these results has received funding from the European Research Council under the European Unions Seventh Framework Programme (FP/2007-2013)/ERC [grant agreement number 335266 (ESCQUMA)], and was supported by the Engineering and Physical Sciences Council [grant numbers EP/M014266/1 and EP/R04340X/1] as well as the Leverhulme Trust [grant number RPG-2018-181]. IL gratefully acknowledges funding through the Royal Society Wolfson Research Merit Award.
dc.publisherIOP Publishing
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.titleNon-equilibrium absorbing state phase transitions in discrete-time quantum cellular automaton dynamics on spin latticesen
dc.typeArticle
prism.endingPage02LT02
prism.issueIdentifier2en
prism.publicationDate2019en
prism.publicationNameQuantum Science and Technologyen
prism.startingPage02LT02
prism.volume4en
dc.identifier.doi10.17863/CAM.38326
dcterms.dateAccepted2018-12-12en
rioxxterms.versionofrecord10.1088/2058-9565/aaf831en
rioxxterms.versionVoR*
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/en
rioxxterms.licenseref.startdate2019-01-21en
dc.contributor.orcidMacieszczak, Katarzyna [0000-0002-9814-164X]
dc.identifier.eissn2058-9565
rioxxterms.typeJournal Article/Reviewen
cam.issuedOnline2018-12-12en
dc.identifier.urlhttps://iopscience.iop.org/article/10.1088/2058-9565/aaf831/meta#artAbsten


Files in this item

Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International