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Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation
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.
cris.lastimport.wos | 2024-04-09T23:14:26Z | |
dc.abstract.en | 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. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
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.author | Tylutki, Marek | pl |
dc.contributor.author | Dziarmaga, Jacek - 127850 | pl |
dc.contributor.author | Żurek, Wojciech H. | pl |
dc.date.accessioned | 2015-07-01T09:07:01Z | |
dc.date.available | 2015-07-01T09:07:01Z | |
dc.date.issued | 2013 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.admin | [AB] Tylutki, Marek | pl |
dc.description.conftype | international | pl |
dc.description.publication | 1 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 414 | pl |
dc.identifier.articleid | 012029 | pl |
dc.identifier.doi | 10.1088/1742-6596/414/1/012029 | pl |
dc.identifier.eissn | 1742-6596 | pl |
dc.identifier.issn | 1742-6588 | pl |
dc.identifier.project | ROD UJ / P | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/10955 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
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.subtype | ConferenceProceedings | pl |
dc.title | Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation | pl |
dc.title.journal | Journal of Physics. Conference Series | pl |
dc.title.volume | 21st International Laser Physics Workshop : 23-27 July 2012, Calgary, Canada | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 3.0