Defining Time Crystals via Representation Theory

Time crystals are proposed states of matter which spontaneously break time translation symmetry. There is no settled definition of such states. We offer a new definition which follows the traditional recipe for Wigner symmetries and order parameters. Supplementing our definition with a few plausible...

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Bibliographic Details
Published inarXiv.org
Main Authors Khemani, Vedika, von Keyserlingk, C W, Sondhi, S L
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.12.2016
Subjects
Breaking
Crystals
Order parameters
Physics - Disordered Systems and Neural Networks
Physics - High Energy Physics - Lattice
Physics - High Energy Physics - Theory
Physics - Quantum Physics
Physics - Statistical Mechanics
Spin glasses
Symmetry
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ISSN2331-8422
DOI10.48550/arxiv.1612.08758

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Summary:Time crystals are proposed states of matter which spontaneously break time translation symmetry. There is no settled definition of such states. We offer a new definition which follows the traditional recipe for Wigner symmetries and order parameters. Supplementing our definition with a few plausible assumptions we find that a) systems with time independent Hamiltonians should not exhibit TTSB while b) the recently studied \(\pi\) spin glass/Floquet time crystal can be viewed as breaking a global internal symmetry and as breaking time translation symmetry as befits its two names.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.1612.08758