A completely integrable lattice open chain of interacting q-bosons

N. M. Bogoliubov, R. Bullough

Huan-Qiang Zhou

The Lax pair formulation is presented for completely integrable quantum lattice spin open chains. Specifically, the Lax pair for the one-dimensional Heisenberg XXZ open chain is explicitly constructed. Our construction provides an alternative and direct demonstration of the quantum integrability of the system.

Luca Mezincescu, Rafael I. Nepomechie

Huan-Qiang Zhou, 重庆大学应用物理系

The Lax pair formulation is presented for quantum completely integrable lattice spin open chains.Specifically,the Lax pair for the one-dimensional Heisenberg XXZ open chain with the general boundary terms is explicitly constructed.The construction provides an alternative and direct demonstration for the quantum integrability of the system.

Tomaž Prosen, Bojan Žunkovič

We demonstrate that a completely integrable classical mechanical model, namely the lattice Landau-Lifshitz classical spin chain, supports diffusive spin transport with a finite diffusion constant in the easy-axis regime, while in the easy-plane regime, it displays ballistic transport in the absence of any known relevant local or quasilocal constant of motion in the symmetry sector of the spin current. This surprising finding should open the way towards analytical computation of diffusion constants for integrable interacting systems and hints on the existence of new quasilocal classical conservation laws beyond the standard soliton theory.

Anton Vladimirovich Zabrodin