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Regularizations of time-crystal dynamics
Stockholm University, Faculty of Science, Department of Physics. Massachusetts Institute of Technology, USA; Tsung-Dao Lee Institute, China; Shanghai Jiao Tong University, China; Arizona State University, USA.ORCID iD: 0000-0002-6489-6155
Number of Authors: 22019 (English)In: Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, E-ISSN 1091-6490, Vol. 116, no 38, p. 18772-18776Article in journal (Refereed) Published
Abstract [en]

We 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.

Place, publisher, year, edition, pages
2019. Vol. 116, no 38, p. 18772-18776
Keywords [en]
time crystal, microstructure, Lagrangian
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-175081DOI: 10.1073/pnas.1908758116ISI: 000486388400011PubMedID: 31413192OAI: oai:DiVA.org:su-175081DiVA, id: diva2:1365034
Available from: 2019-10-23 Created: 2019-10-23 Last updated: 2019-10-23Bibliographically approved

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