Inhomogeneous discrete-time exclusion processes Auteur(s): Crampé N., Mallick K., Ragoucy E., Vanicat M. (Article) Publié: Journal Of Physics A: Mathematical And Theoretical, vol. 48 p.484002 (2015) Texte intégral en Openaccess : Ref HAL: hal-01180460_v1 Ref Arxiv: 1506.04874 DOI: 10.1088/1751-8113/48/48/484002 WoS: 000365115000002 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 9 Citations Résumé: We study discrete time Markov processes with periodic or open boundaryconditions and with inhomogeneous rates in the bulk. The Markov matrices aregiven by the inhomogeneous transfer matrices introduced previously to prove theintegrability of quantum spin chains. We show that these processes have asimple graphical interpretation and correspond to a sequential update. Wecompute their stationary state using a matrix ansatz and express theirnormalization factors as Schur polynomials. A connection between Bethe rootsand Lee-Yang zeros is also pointed out. |