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Exact bosonic matrix product states (and holography)


Exact bosonic matrix product states (and holography)

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dc.contributor.author Janik, Romuald [SAP11016000] pl
dc.date.accessioned 2019-05-10T13:32:08Z
dc.date.available 2019-05-10T13:32:08Z
dc.date.issued 2019 pl
dc.identifier.issn 1126-6708 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/74387
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 Exact bosonic matrix product states (and holography) pl
dc.type JournalArticle pl
dc.abstract.en We derive an exact formula for a matrix product state (MPS) representation (or a PEPS in higher number of dimensions) of the ground state of translationally invariant bosonic lattice systems in terms of a single one-dimensional Euclidean quantum mechanical path integral with sources. We explicitly evaluate the general formula in the special case of the one-dimensional Klein-Gordon harmonic chain, being a spatial discretization of 1+1 dimensional free boson QFT, obtaining an exact MPS with an infinite dimensional bond space. We analytically diagonalize the transfer matrix obtaining two Fock spaces with continuous modes and check that the exact MPS construction reproduces the correct correlation functions. We also comment on possible holographic interpretations. pl
dc.subject.en AdS-CFT correspondence pl
dc.subject.en field theories in lower dimensions pl
dc.description.volume 2019 pl
dc.description.number 1 pl
dc.identifier.doi 10.1007/JHEP01(2019)225 pl
dc.identifier.eissn 1029-8479 pl
dc.title.journal The Journal of High Energy Physics 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 225 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