A sufficient criterion for integrability of stochastic many-body dynamics and quantum spin chains

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dc.creatorPopkov, V.
dc.creatorFouladvand, M. E.
dc.creatorSchuetz, G. M.
dc.date2002-05-16
dc.date.accessioned2026-07-07T10:49:23Z
dc.date.available2026-07-07T10:49:23Z
dc.descriptionWe propose a dynamical matrix product ansatz describing the stochastic dynamics of two species of particles with excluded-volume interaction and the quantum mechanics of the associated quantum spin chains respectively. Analyzing consistency of the time-dependent algebra which is obtained from the action of the corresponding Markov generator, we obtain sufficient conditions on the hopping rates for identifing the integrable models. From the dynamical algebra we construct the quadratic algebra of Zamolodchikov type, associativity of which is a Yang Baxter equation. The Bethe ansatz equations for the spectra are obtained directly from the dynamical matrix product ansatz.
dc.description19 pages Latex
dc.identifierhttps://arxiv.org/abs/hep-th/0205169
dc.identifierhttp://arxiv.org/abs/hep-th/0205169
dc.identifierJ.Phys.A35:7187-7204,2002
dc.identifierdoi:10.1088/0305-4470/35/33/314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184199
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleA sufficient criterion for integrability of stochastic many-body dynamics and quantum spin chains
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