Condensed matter physics in big discrete time crystals

2022
journal article
review article
cris.lastimport.wos2024-04-09T22:22:59Z
dc.abstract.enWe review the application of discrete time crystals created in a Bose-Einstein condensate (BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the investigation of condensed matter phenomena in the time dimension. Such a bouncing BEC system can exhibit dramatic breaking of time-translation symmetry, allowing the creation of discrete time crystals having up to about 100 temporal lattice sites and suitable for hosting a broad range of temporal condensed matter phenomena. We first consider single-particle condensed matter phenomena in the time dimension which include Anderson localization due to temporal disorder, topological time crystals, and quasi-crystal structures in time. We then discuss many-body temporal condensed matter phenomena including Mott insulator phases in time, many-body localization in time, many-body topological time crystals and time crystals having long-range exotic interactions. We also discuss the construction of two (or three) dimensional time lattices, involving the bouncing of a BEC between two (or three) orthogonal oscillating mirrors and between two oscillating mirrors oriented at 45∘. The latter configuration supports a versatile Möbius strip geometry which can host a variety of two-dimensional time lattices including a honeycomb time lattice and a Lieb square time lattice. Finally, we discuss the construction of a six-dimensional time-space lattice based on periodically driven BECs trapped in a three-dimensional optical lattice.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznejpl
dc.contributor.authorHannaford, Peterpl
dc.contributor.authorSacha, Krzysztof - 100749 pl
dc.date.accessioned2022-05-16T16:20:46Z
dc.date.available2022-05-16T16:20:46Z
dc.date.issued2022pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume32pl
dc.identifier.articleid12pl
dc.identifier.doi10.1007/s43673-022-00041-8pl
dc.identifier.eissn2309-4710pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/292029
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subtypeReviewArticlepl
dc.titleCondensed matter physics in big discrete time crystalspl
dc.title.journalAAPPS Bulletinpl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T22:22:59Z
dc.abstract.enpl
We review the application of discrete time crystals created in a Bose-Einstein condensate (BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the investigation of condensed matter phenomena in the time dimension. Such a bouncing BEC system can exhibit dramatic breaking of time-translation symmetry, allowing the creation of discrete time crystals having up to about 100 temporal lattice sites and suitable for hosting a broad range of temporal condensed matter phenomena. We first consider single-particle condensed matter phenomena in the time dimension which include Anderson localization due to temporal disorder, topological time crystals, and quasi-crystal structures in time. We then discuss many-body temporal condensed matter phenomena including Mott insulator phases in time, many-body localization in time, many-body topological time crystals and time crystals having long-range exotic interactions. We also discuss the construction of two (or three) dimensional time lattices, involving the bouncing of a BEC between two (or three) orthogonal oscillating mirrors and between two oscillating mirrors oriented at 45∘. The latter configuration supports a versatile Möbius strip geometry which can host a variety of two-dimensional time lattices including a honeycomb time lattice and a Lieb square time lattice. Finally, we discuss the construction of a six-dimensional time-space lattice based on periodically driven BECs trapped in a three-dimensional optical lattice.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej
dc.contributor.authorpl
Hannaford, Peter
dc.contributor.authorpl
Sacha, Krzysztof - 100749
dc.date.accessioned
2022-05-16T16:20:46Z
dc.date.available
2022-05-16T16:20:46Z
dc.date.issuedpl
2022
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
32
dc.identifier.articleidpl
12
dc.identifier.doipl
10.1007/s43673-022-00041-8
dc.identifier.eissnpl
2309-4710
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/292029
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subtypepl
ReviewArticle
dc.titlepl
Condensed matter physics in big discrete time crystals
dc.title.journalpl
AAPPS Bulletin
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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