Properties of the one-dimensional Bose-Hubbard model from a high-order perturbative expansion
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Properties of the one-dimensional Bose-Hubbard model from a high-order perturbative expansion
We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose–Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and density–density correlations, and expectation values of powers of the on-site number operator determining the local atom number fluctuations (variance, skewness, kurtosis). We compare these expansions to numerical simulations of the infinite-size system to determine their range of applicability. We also discuss a new sum rule for the density–density correlations that can be used in both equilibrium and non-equilibrium systems.
cris.lastimport.scopus | 2024-04-07T16:35:27Z | |
cris.lastimport.wos | 2024-04-09T23:54:03Z | |
dc.abstract.en | We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose–Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and density–density correlations, and expectation values of powers of the on-site number operator determining the local atom number fluctuations (variance, skewness, kurtosis). We compare these expansions to numerical simulations of the infinite-size system to determine their range of applicability. We also discuss a new sum rule for the density–density correlations that can be used in both equilibrium and non-equilibrium systems. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Damski, Bogdan - 228410 | pl |
dc.contributor.author | Zakrzewski, Jakub - 100023 | pl |
dc.date.accessioned | 2015-12-30T09:53:02Z | |
dc.date.available | 2015-12-30T09:53:02Z | |
dc.date.issued | 2015 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 12 | pl |
dc.description.publication | 1 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 17 | pl |
dc.identifier.articleid | 125010 | pl |
dc.identifier.doi | 10.1088/1367-2630/17/12/125010 | pl |
dc.identifier.eissn | 1367-2630 | pl |
dc.identifier.project | ROD UJ / P | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/18762 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 3.0 Polska | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/legalcode | * |
dc.share.type | otwarte czasopismo | |
dc.subtype | Article | pl |
dc.title | Properties of the one-dimensional Bose-Hubbard model from a high-order perturbative expansion | pl |
dc.title.journal | New Journal of Physics | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Open Access