This study focuses on the impurities in integrable models from the viewpoint of generalized
hydrodynamics (GHD). An impurity can be thought of as a boundary condition for the GHD …

We consider the algebraic setting of classical defects in discrete and continuous integrable
theories. We derive the “equations of motion” on the defect point via the space-like and time …

Classical integrable impurities associated with high rank (gl N) algebras are investigated. A
particular prototype, ie the vector non-linear Schrödinger (NLS) model, is chosen as an …

The concept of point-like “jump” defects is investigated in the context of affine Toda field
theories. The Hamiltonian formulation is employed for the analysis of the problem. The issue …

Type-I quantum impurities are investigated in the context of the integrable Heisenberg
model. This type of defects is associated to the (q)-harmonic oscillator algebra. The …

A bstract The\(\mathfrak {g}{{\mathfrak {l}} _ {\mathcal {N}}}\) and\({{\mathfrak {U}} _q}\left
({\mathfrak {g}{{\mathfrak {l}} _ {\mathcal {N}}}}\right)\) quantum spin chains in the presence …

Inspired by recent results on the effect of integrable boundary conditions on the bulk
behavior of an integrable system, and in particular on the behavior of an existing defect, we …

Type-I quantum defects are considered in the context of the $\mathfrak {gl} _ {{\cal N}} $ spin
chain. The type-I defects are associated with the generalized harmonic oscillator algebra …