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Stochastic R matrix for U-q(A(n)((1)))

Kuniba, Atsuo; Mangazeev, Vladimir; Maruyama, S; Okado, Masato

Description

We show that the quantum R matrix for symmetric tensor representations of View the MathML sourceUq(An(1)) satisfies the sum rule required for its stochastic interpretation under a suitable gauge. Its matrix elements at a special point of the spectral parameter are found to factorize into the form that naturally extends Povolotsky's local transition rate in the q -Hahn process for n=1n=1. Based on these results we formulate new discrete and continuous time integrable Markov processes on a...[Show more]

dc.contributor.authorKuniba, Atsuo
dc.contributor.authorMangazeev, Vladimir
dc.contributor.authorMaruyama, S
dc.contributor.authorOkado, Masato
dc.date.accessioned2018-11-29T22:54:22Z
dc.date.available2018-11-29T22:54:22Z
dc.identifier.issn0550-3213
dc.identifier.urihttp://hdl.handle.net/1885/152764
dc.description.abstractWe show that the quantum R matrix for symmetric tensor representations of View the MathML sourceUq(An(1)) satisfies the sum rule required for its stochastic interpretation under a suitable gauge. Its matrix elements at a special point of the spectral parameter are found to factorize into the form that naturally extends Povolotsky's local transition rate in the q -Hahn process for n=1n=1. Based on these results we formulate new discrete and continuous time integrable Markov processes on a one-dimensional chain in terms of n species of particles obeying asymmetric stochastic dynamics. Bethe ansatz eigenvalues of the Markov matrices are also given.
dc.format.mimetypeapplication/pdf
dc.publisherElsevier
dc.sourceNuclear Physics B
dc.titleStochastic R matrix for U-q(A(n)((1)))
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume913
dc.date.issued2016
local.identifier.absfor020603 - Quantum Information, Computation and Communication
local.identifier.ariespublicationa383154xPUB4373
local.type.statusPublished Version
local.contributor.affiliationKuniba, Atsuo, University of Tokyo
local.contributor.affiliationMangazeev, Vladimir, College of Science, ANU
local.contributor.affiliationMaruyama, S, University of Tokyo
local.contributor.affiliationOkado, Masato, Department of Mathematics, Osaka City University
local.bibliographicCitation.startpage248
local.bibliographicCitation.lastpage277
local.identifier.doi10.1016/j.nuclphysb.2016.09.016
dc.date.updated2018-11-29T07:59:29Z
local.identifier.scopusID2-s2.0-84989211420
local.identifier.thomsonID000389713600012
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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