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.