Regularizations of time-crystal dynamics

Alfred D. Shapere; Frank Wilczek

doi:10.1073/pnas.1908758116

Regularizations of time-crystal dynamics

Alfred D. Shapere, Frank Wilczek

Physics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English (US)
Pages (from-to)	18772-18776
Number of pages	5
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	116
Issue number	38
DOIs	https://doi.org/10.1073/pnas.1908758116
State	Published - Sep 17 2019

Keywords

Lagrangian
Microstructure
Time crystal

ASJC Scopus subject areas

General

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10.1073/pnas.1908758116

Cite this

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AB - 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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Regularizations of time-crystal dynamics

Abstract

Keywords

ASJC Scopus subject areas

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