We study the matrix ansatz in the quantum group framework, applying integrable systems
techniques to statistical physics models. We start by reviewing the two approaches, and then …

In this paper we consider solutions to the reflection equation related to the higher spin
stochastic six vertex model. The corresponding higher spin R-matrix is associated with the …

Chains of interacting non-Abelian anyons with local interactions invariant under the action of
the Drinfeld double of the dihedral group D 3 are constructed. Formulated as a spin chain …

We study solutions of the reflection equation related to the quantum affine algebra $ U_q
(\widehat {sl_n}) $. First, we explain how to construct a family of stochastic integrable vertex …

In this paper we introduce a one-dimensional model of su (2) k anyons in which the number
of anyons can fluctuate by means of a pairing term. The model can be tuned to a point at …

A special case of the Fateev–Zamolodchikov model is studied, resulting in a solution of the
Yang–Baxter equation with two spectral parameters. Integrable models from this solution are …

This thesis studies light-matter interaction models related to the quantum Rabi model (QRM)
in two aspects: the hidden Z 2 symmetry and non-Hermiticity, together with some …

The exact solution for the energy spectrum of a one-dimensional Hamiltonian with local two-
site interactions and periodic boundary conditions is determined. The two-site Hamiltonians …

We consider the reflection equation of the N= 3 Cremmer–Gervais R-matrix. The reflection
equation is shown to be equivalent to 38 equations which do not depend on the parameter …

We study an exactly solvable model of non-Abelian anyons symmetric under the quantum
double of the dihedral group D3 on a one-dimensional lattice. Bethe ansatz methods are …