%0 Journal Article
%T Inhomogeneous discrete-time exclusion processes
%+ Laboratoire Charles Coulomb (L2C)
%+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT)
%+ Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
%A Crampé, Nicolas
%A Mallick, K.
%A Ragoucy, E.
%A Vanicat, M.
%< avec comité de lecture
%Z LAPTH-033/15 L2C:15-118
%@ 1751-8113
%J Journal of Physics A: Mathematical and Theoretical
%I IOP Publishing
%V 48
%N 48
%P 484002
%8 2015-10-29
%D 2015
%Z 1506.04874
%R 10.1088/1751-8113/48/48/484002
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-01180460/document
%2 https://hal.science/hal-01180460/file/1506.04874.pdf
%L hal-01180460
%U https://hal.science/hal-01180460
%~ CEA
%~ UNIV-SAVOIE
%~ UGA
%~ CNRS
%~ LAPTH
%~ L2C
%~ DSM-IPHT
%~ CEA-UPSAY
%~ UNIV-PARIS-SACLAY
%~ CEA-UPSAY-SACLAY
%~ MIPS
%~ UNIV-MONTPELLIER
%~ CEA-DRF
%~ USMB-COMUE
%~ GS-MATHEMATIQUES
%~ GS-PHYSIQUE
%~ UM-2015-2021
%~ TEST3-HALCNRS