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Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation
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dc.type
JournalArticle
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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.
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dc.description.volume
414
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dc.description.publication
1
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dc.description.conftype
international
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dc.identifier.doi
10.1088/1742-6596/414/1/012029
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dc.identifier.eissn
1742-6596
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dc.title.journal
Journal of Physics. Conference Series
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dc.title.volume
21st International Laser Physics Workshop : 23-27 July 2012, Calgary, Canada
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dc.language.container
eng
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dc.affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
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dc.subtype
ConferenceProceedings
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dc.conference
21st International Laser Physics Workshop; 2012-07-23; 2012-07-27; Calgary; Kanada; indeksowana w Web of Science; indeksowana w Scopus; ;
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dc.identifier.articleid
012029
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dc.rights.original
CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0