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 And Astronomy

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
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

Bibliographical note

Publisher Copyright:
© 2019 National Academy of Sciences. All rights reserved.

Keywords

Lagrangian
Microstructure
Time crystal

ASJC Scopus subject areas

General

Access to Document

10.1073/pnas.1908758116

Cite this

@article{e4955d5410fc4b98a1c6fb7b9d037c40,

title = "Regularizations of time-crystal dynamics",

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.",

keywords = "Lagrangian, Microstructure, Time crystal",

author = "Shapere, {Alfred D.} and Frank Wilczek",

year = "2019",

month = sep,

day = "17",

doi = "10.1073/pnas.1908758116",

language = "English",

volume = "116",

pages = "18772--18776",

number = "38",

}

TY - JOUR

T1 - Regularizations of time-crystal dynamics

AU - Shapere, Alfred D.

AU - Wilczek, Frank

PY - 2019/9/17

Y1 - 2019/9/17

N2 - 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.

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.

KW - Lagrangian

KW - Microstructure

KW - Time crystal

UR - http://www.scopus.com/inward/record.url?scp=85072323087&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072323087&partnerID=8YFLogxK

U2 - 10.1073/pnas.1908758116

DO - 10.1073/pnas.1908758116

M3 - Article

C2 - 31413192

AN - SCOPUS:85072323087

SN - 0027-8424

VL - 116

SP - 18772

EP - 18776

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 38

ER -

Regularizations of time-crystal dynamics

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this