70 citations · 70 across the 1 of their papers we have counts for
4 papers
On the Q operator and the spectrum of the XXZ model at root of unity
Yuan Miao, Jules Lamers, Vincent Pasquier
The spin-1/2 Heisenberg XXZ chain is a paradigmatic quantum integrable model. Although it can be solved exactly via Bethe ansatz techniques, there are still open issues regarding t…
Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
Yuan Miao, Enej Ilievski, Oleksandr Gamayun
Using the algebro-geometric approach, we study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. We outline how classical nonlinear…
Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
Oleksandr Gamayun, Yuan Miao, Enej Ilievski
We investigate the dynamics of spin in the axially anisotropic Landau--Lifshitz field theory with a magnetic domain wall initial condition. Employing the analytic scattering techni…
Interplay of Solitons and Radiation in One-Dimensional Bose Gases
Yuan Miao, Enej Ilievski, Oleksandr Gamayun
We study relaxation dynamics in one-dimensional Bose gases, formulated as an initial value problem for the classical non-linear Schrödinger equation. We propose an analytic techniq…