Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation

2013
journal article
conference proceedings
3
cris.lastimport.wos2024-04-09T23:14:26Z
dc.abstract.enThe quantum phase transition from the Mott insulator state to the superfluid in the Bose-Hubbard model is investigated. We research one, two and three dimensional lattices in the truncated Wigner approximation. We compute both kinetic and potential energy and they turn out to have a power law behaviour as a function of the transition rate, with the power equal to 1/3. The same applies to the total energy in a system with a harmonic trap, which is usually present in the experimental set-up. These observations are in agreement with the experiment of [8], where such scalings were also observed and the power of the decay was numerically close to 1/3. The results confirm the Kibble-Zurek (adiabatic-impulse-adiabatic approximation) scenario for this transition.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.conference21st International Laser Physics Workshop
dc.conference.cityCalgary
dc.conference.countryKanada
dc.conference.datefinish2012-07-27
dc.conference.datestart2012-07-23
dc.conference.indexscopustrue
dc.conference.indexwostrue
dc.contributor.authorTylutki, Marekpl
dc.contributor.authorDziarmaga, Jacek - 127850 pl
dc.contributor.authorŻurek, Wojciech H.pl
dc.date.accessioned2015-07-01T09:07:01Z
dc.date.available2015-07-01T09:07:01Z
dc.date.issued2013pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.admin[AB] Tylutki, Marekpl
dc.description.conftypeinternationalpl
dc.description.publication1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume414pl
dc.identifier.articleid012029pl
dc.identifier.doi10.1088/1742-6596/414/1/012029pl
dc.identifier.eissn1742-6596pl
dc.identifier.issn1742-6588pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/10955
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/legalcode*
dc.share.typeotwarte czasopismo
dc.subtypeConferenceProceedingspl
dc.titleDynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximationpl
dc.title.journalJournal of Physics. Conference Seriespl
dc.title.volume21st International Laser Physics Workshop : 23-27 July 2012, Calgary, Canadapl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T23:14:26Z
dc.abstract.enpl
The quantum phase transition from the Mott insulator state to the superfluid in the Bose-Hubbard model is investigated. We research one, two and three dimensional lattices in the truncated Wigner approximation. We compute both kinetic and potential energy and they turn out to have a power law behaviour as a function of the transition rate, with the power equal to 1/3. The same applies to the total energy in a system with a harmonic trap, which is usually present in the experimental set-up. These observations are in agreement with the experiment of [8], where such scalings were also observed and the power of the decay was numerically close to 1/3. The results confirm the Kibble-Zurek (adiabatic-impulse-adiabatic approximation) scenario for this transition.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.conference
21st International Laser Physics Workshop
dc.conference.city
Calgary
dc.conference.country
Kanada
dc.conference.datefinish
2012-07-27
dc.conference.datestart
2012-07-23
dc.conference.indexscopus
true
dc.conference.indexwos
true
dc.contributor.authorpl
Tylutki, Marek
dc.contributor.authorpl
Dziarmaga, Jacek - 127850
dc.contributor.authorpl
Żurek, Wojciech H.
dc.date.accessioned
2015-07-01T09:07:01Z
dc.date.available
2015-07-01T09:07:01Z
dc.date.issuedpl
2013
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.adminpl
[AB] Tylutki, Marek
dc.description.conftypepl
international
dc.description.publicationpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
414
dc.identifier.articleidpl
012029
dc.identifier.doipl
10.1088/1742-6596/414/1/012029
dc.identifier.eissnpl
1742-6596
dc.identifier.issnpl
1742-6588
dc.identifier.projectpl
ROD UJ / P
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/10955
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/legalcode
dc.share.type
otwarte czasopismo
dc.subtypepl
ConferenceProceedings
dc.titlepl
Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation
dc.title.journalpl
Journal of Physics. Conference Series
dc.title.volumepl
21st International Laser Physics Workshop : 23-27 July 2012, Calgary, Canada
dc.typepl
JournalArticle
dspace.entity.type
Publication
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