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dc.contributor.authorRoberts, Daniel Adam
dc.contributor.authorSwingle, Brian Gordon
dc.date.accessioned2017-06-23T19:31:11Z
dc.date.available2017-06-23T19:31:11Z
dc.date.issued2016-08
dc.date.submitted2016-05
dc.identifier.issn0031-9007
dc.identifier.issn1079-7114
dc.identifier.urihttp://hdl.handle.net/1721.1/110230
dc.description.abstractAs experiments are increasingly able to probe the quantum dynamics of systems with many degrees of freedom, it is interesting to probe fundamental bounds on the dynamics of quantum information. We elaborate on the relationship between one such bound—the Lieb-Robinson bound—and the butterfly effect in strongly coupled quantum systems. The butterfly effect implies the ballistic growth of local operators in time, which can be quantified with the “butterfly” velocity v_{B}. Similarly, the Lieb-Robinson velocity places a state-independent ballistic upper bound on the size of time evolved operators in nonrelativistic lattice models. Here, we argue that v_{B} is a state-dependent effective Lieb-Robinson velocity. We study the butterfly velocity in a wide variety of quantum field theories using holography and compare with free-particle computations to understand the role of strong coupling. We find that v_{B} remains constant or decreases with decreasing temperature. We also comment on experimental prospects and on the relationship between the butterfly velocity and signaling.en_US
dc.description.sponsorshipHertz Foundationen_US
dc.description.sponsorshipUnited States. Department of Energy (cooperative research agreement Contract No. DE-SC0012567)en_US
dc.description.sponsorshipSimons Foundationen_US
dc.description.sponsorshipStanford Institute for Theoretical Physicsen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevLett.117.091602en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAmerican Physical Societyen_US
dc.titleLieb-Robinson Bound and the Butterfly Effect in Quantum Field Theoriesen_US
dc.typeArticleen_US
dc.identifier.citationRoberts, Daniel A., and Brian Swingle. “Lieb-Robinson Bound and the Butterfly Effect in Quantum Field Theories.” Physical Review Letters 117.9 (2016): n. pag. © 2016 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Center for Theoretical Physicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.mitauthorRoberts, Daniel Adam
dc.contributor.mitauthorSwingle, Brian Gordon
dc.relation.journalPhysical Review Lettersen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2016-08-23T22:00:07Z
dc.language.rfc3066en
dc.rights.holderAmerican Physical Society
dspace.orderedauthorsRoberts, Daniel A.; Swingle, Brianen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-8348-6506
mit.licensePUBLISHER_POLICYen_US


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