Regularizations of time-crystal dynamics
Name
18772.full.pdf
Description
Published version
Size
772.56 KB
Format
Adobe PDF
Checksum (MD5)
ff37f7de2f45eda2438097362620c197
Author(s)
Wilczek, Frank
Date Issued
August 14, 2019
Journal
Proceedings of the National Academy of Sciences of the United States of America.
Publisher
Proceedings of the National Academy of Sciences
Citation
Shapere, 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)
Version
Final published version
Abstract
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.
Subjects
Multidisciplinary
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Article 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.
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DOI of Published Version
https://doi.org/10.1073/pnas.1908758116
