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Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations

Critical points of the three-dimensional Bose-Hubbard ...

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dc.contributor.author Prośniak, Oskar A. pl
dc.contributor.author Łącki, Mateusz [SAP14002952] pl
dc.contributor.author Damski, Bogdan [SAP14009258] pl
dc.date.accessioned 2019-10-11T10:32:51Z
dc.date.available 2019-10-11T10:32:51Z
dc.date.issued 2019 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/84642
dc.language eng pl
dc.rights Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa *
dc.rights.uri http://creativecommons.org/licenses/by/4.0/pl/legalcode *
dc.title Critical points of the three-dimensional Bose-Hubbard model from on-site atom number fluctuations pl
dc.type JournalArticle pl
dc.abstract.en We discuss how positions of critical points of the three-dimensional Bose-Hubbard model can be accurately obtained from variance of the on-site atom number operator, which can be experimentally measured. The idea that we explore is that the derivative of the variance, with respect to the parameter driving the transition, has a pronounced maximum close to critical points. We show that Quantum Monte Carlo studies of this maximum lead to precise determination of critical points for the superfluid-Mott insulator transition in systems with mean number of atoms per lattice site equal to one, two, and three. We also extract from such data the correlation-length critical exponent through the finite-size scaling analysis and discuss how the derivative of the variance can be reliably computed from numerical data for the variance. The same conclusions apply to the derivative of the nearest-neighbor correlation function, which can be obtained from routinely measured time-of-flight images. pl
dc.description.volume 9 pl
dc.identifier.doi 10.1038/s41598-019-44825-9 pl
dc.identifier.eissn 2045-2322 pl
dc.title.journal Scientific Reports pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.subtype Article pl
dc.identifier.articleid 8687 pl
dc.rights.original CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0 pl
dc.identifier.project ROD UJ / OP pl
.pointsMNiSW [2019 A]: 140


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Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa