Speaker
Christoph Obenaus
(Instituto Superior Técnico)
Description
We consider a multispecies extension of the asymmetric simple exclusion process with hierarchical dynamics and species-dependent hopping parameters. On an integrable submanifold of parameter space, we construct an explicit Yang–Baxter formulation for the tilded Markov generator. The underlying local structure is governed by a coloured 0-Hecke-type algebra, which provides the natural setting for the Baxterization. Using the nested algebraic Bethe ansatz, we derive the general system of coupled Bethe equations for an arbitrary number of species. This is work in progress, in collaboration with Ali Zahra.
Authors
Ali zahra
Christoph Obenaus
(Instituto Superior Técnico)