Regularizations of time-crystal dynamics

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...

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Bibliographic Details
Main Author: Wilczek, Frank (Author)
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor)
Format: Article
Language:English
Published: Proceedings of the National Academy of Sciences, 2020-03-27T13:57:14Z.
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Online Access:Get fulltext
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100 1 0 |a Wilczek, Frank  |e author 
100 1 0 |a Massachusetts Institute of Technology. Center for Theoretical Physics  |e contributor 
245 0 0 |a Regularizations of time-crystal dynamics 
260 |b Proceedings of the National Academy of Sciences,   |c 2020-03-27T13:57:14Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/124382 
520 |a 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. 
520 |a United States. Department of Energy (Contract No. DE-SC001256) 
520 |a European Research Council (Grant 742104) 
520 |a Swedish Research Council (Contract 335-2014-7424) 
546 |a en 
690 |a Multidisciplinary 
655 7 |a Article 
773 |t 10.1073/pnas.1908758116 
773 |t Proceedings of the National Academy of Sciences of the United States of America.