Regularizations of time-crystal dynamics

• 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.
• Subjects: Article
• Online Access: Get fulltext

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.
United States. Department of Energy (Contract No. DE-SC001256)
European Research Council (Grant 742104)
Swedish Research Council (Contract 335-2014-7424)