Topological time crystals

2019
journal article
article
41
dc.abstract.enBy analogy with the formation of space crystals, crystalline structures can also appear in the time domain. While in the case of space crystals we often ask about periodic arrangements of atoms in space at a moment of a detection, in time crystals the role of space and time is exchanged. That is, we fix a space point and ask if the probability density for detection of a system at this point behaves periodically in time. Here, we show that in periodically driven systems it is possible to realize topological insulators, which can be observed in time. The bulk-edge correspondence is related to the edge in time, where edge states localize. We focus on two examples: Su-Schrieffer-Heeger model in time and Bose Haldane insulator which emerges in the dynamics of a periodically driven many-body system.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorGiergiel, Krzysztof - 186891 pl
dc.contributor.authorDauphin, Alexandrepl
dc.contributor.authorLewenstein, Maciejpl
dc.contributor.authorZakrzewski, Jakub - 100023 pl
dc.contributor.authorSacha, Krzysztof - 100749 pl
dc.date.accessioned2019-06-19T13:06:58Z
dc.date.available2019-06-19T13:06:58Z
dc.date.issued2019pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number5pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume21pl
dc.identifier.articleid052003pl
dc.identifier.doi10.1088/1367-2630/ab1e5fpl
dc.identifier.eissn1367-2630pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/77564
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0 Polska*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/legalcode*
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titleTopological time crystalspl
dc.title.journalNew Journal of Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
By analogy with the formation of space crystals, crystalline structures can also appear in the time domain. While in the case of space crystals we often ask about periodic arrangements of atoms in space at a moment of a detection, in time crystals the role of space and time is exchanged. That is, we fix a space point and ask if the probability density for detection of a system at this point behaves periodically in time. Here, we show that in periodically driven systems it is possible to realize topological insulators, which can be observed in time. The bulk-edge correspondence is related to the edge in time, where edge states localize. We focus on two examples: Su-Schrieffer-Heeger model in time and Bose Haldane insulator which emerges in the dynamics of a periodically driven many-body system.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Giergiel, Krzysztof - 186891
dc.contributor.authorpl
Dauphin, Alexandre
dc.contributor.authorpl
Lewenstein, Maciej
dc.contributor.authorpl
Zakrzewski, Jakub - 100023
dc.contributor.authorpl
Sacha, Krzysztof - 100749
dc.date.accessioned
2019-06-19T13:06:58Z
dc.date.available
2019-06-19T13:06:58Z
dc.date.issuedpl
2019
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
5
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
21
dc.identifier.articleidpl
052003
dc.identifier.doipl
10.1088/1367-2630/ab1e5f
dc.identifier.eissnpl
1367-2630
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/77564
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0 Polska
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/legalcode
dc.share.type
otwarte czasopismo
dc.subtypepl
Article
dc.titlepl
Topological time crystals
dc.title.journalpl
New Journal of Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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