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Literature DB >> 23992051

Impossibility of spontaneously rotating time crystals: a no-go theorem.

Abstract

I present arguments indicating the impossibility of spontaneously rotating "quantum time crystals," as recently proposed by Frank Wilczek. In particular, I prove a "no-go theorem," rigorously ruling out the possibility of spontaneous ground-state (or thermal equilibrium) rotation for a broad class of systems.

Year: 2013 PMID： 23992051 DOI： 10.1103/PhysRevLett.111.070402

Source DB: PubMed Journal: Phys Rev Lett ISSN： 0031-9007 Impact factor: 9.161

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Cited

10 in total

1. Time crystal minimizes its energy by performing Sisyphus motion.

Authors: Krzysztof Sacha; Peter Hannaford
Journal: Proc Natl Acad Sci U S A Date: 2019-08-22 Impact factor: 11.205

2. Floquet quantum criticality.

Authors: William Berdanier; Michael Kolodrubetz; S A Parameswaran; Romain Vasseur
Journal: Proc Natl Acad Sci U S A Date: 2018-08-29 Impact factor: 11.205

Review 3. Non-thermalization in trapped atomic ion spin chains.

Authors: P W Hess; P Becker; H B Kaplan; A Kyprianidis; A C Lee; B Neyenhuis; G Pagano; P Richerme; C Senko; J Smith; W L Tan; J Zhang; C Monroe
Journal: Philos Trans A Math Phys Eng Sci Date: 2017-12-13 Impact factor: 4.226

4. Nonlinear two-level dynamics of quantum time crystals.

Authors: S Autti; P J Heikkinen; J Nissinen; J T Mäkinen; G E Volovik; V V Zavyalov; V B Eltsov
Journal: Nat Commun Date: 2022-06-02 Impact factor: 17.694

5. Observation of discrete time-crystalline order in a disordered dipolar many-body system.

Authors: Soonwon Choi; Joonhee Choi; Renate Landig; Georg Kucsko; Hengyun Zhou; Junichi Isoya; Fedor Jelezko; Shinobu Onoda; Hitoshi Sumiya; Vedika Khemani; Curt von Keyserlingk; Norman Y Yao; Eugene Demler; Mikhail D Lukin
Journal: Nature Date: 2017-03-08 Impact factor: 49.962

Impossibility of spontaneously rotating time crystals: a no-go theorem.

1. Time crystal minimizes its energy by performing Sisyphus motion.

2. Floquet quantum criticality.

Review 3. Non-thermalization in trapped atomic ion spin chains.

4. Nonlinear two-level dynamics of quantum time crystals.

5. Observation of discrete time-crystalline order in a disordered dipolar many-body system.

6. Anderson localization and Mott insulator phase in the time domain.

7. Photonic time crystals.

8. All-optical dissipative discrete time crystals.

9. Time crystal dynamics in a weakly modulated stochastic time delayed system.

10. Limit cycles and chaos in the hybrid atom-optomechanics system.