Regularizations of time-crystal dynamics | Zendy

Alfred D. Shapere | Zendy; Frank Wilczek | Zendy

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Regularizations of time-crystal dynamics

Author(s) -

Alfred D. Shapere,

Frank Wilczek

Publication year - 2019

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.1908758116

Subject(s) - limiting , gravitational singularity , class (philosophy) , invertible matrix , statistical physics , spacetime , crystal (programming language) , theoretical physics , space time , dynamics (music) , foundation (evidence) , computer science , physics , mathematics , pure mathematics , chemistry , quantum mechanics , artificial intelligence , acoustics , mechanical engineering , archaeology , engineering , history , programming language

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.

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