Regularizations of time-crystal dynamics
Author(s)
Wilczek, Frank
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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.
Date issued
2019-08-14Department
Massachusetts Institute of Technology. Center for Theoretical PhysicsJournal
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
ISSN
0027-8424
1091-6490
Keywords
Multidisciplinary