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dc.contributor.authorWilczek, Frank
dc.date.accessioned2020-03-27T13:57:14Z
dc.date.available2020-03-27T13:57:14Z
dc.date.issued2019-08-14
dc.identifier.issn0027-8424
dc.identifier.issn1091-6490
dc.identifier.urihttps://hdl.handle.net/1721.1/124382
dc.description.abstractWe demonstrate that nonconvex Lagrangians, as contemplated in the theory of time crystals, can arise in the effective description of conventional, physically realizable systems. Such embeddings resolve dynamical singularities which arise in the reduced description. Microstructure featuring intervals of fixed velocity interrupted by quick resets—“Sisyphus dynamics”—is a generic consequence. In quantum mechanics, this microstructure can be blurred, leaving entirely regular behavior.en_US
dc.description.sponsorshipUnited States. Department of Energy (Contract No. DE-SC001256)en_US
dc.description.sponsorshipEuropean Research Council (Grant 742104)en_US
dc.description.sponsorshipSwedish Research Council (Contract 335-2014-7424)en_US
dc.language.isoen
dc.publisherProceedings of the National Academy of Sciencesen_US
dc.relation.isversionof10.1073/pnas.1908758116en_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.sourcePNASen_US
dc.subjectMultidisciplinaryen_US
dc.titleRegularizations of time-crystal dynamicsen_US
dc.typeArticleen_US
dc.identifier.citationShapere, Alfred D. and Frank Wilczek. "Regularizations of time-crystal dynamics." Proceedings of the National Academy of Sciences of the United States of America 116 (2019):18772-18776 © 2019 The Author(s)en_US
dc.contributor.departmentMassachusetts Institute of Technology. Center for Theoretical Physicsen_US
dc.relation.journalProceedings of the National Academy of Sciences of the United States of America.en_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.updated2020-02-13T13:17:18Z
dspace.date.submission2020-02-13T13:17:22Z
mit.journal.volume116en_US
mit.journal.issue38en_US
mit.licensePUBLISHER_POLICY
mit.metadata.statusComplete


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