70 citations · 171 across the 13 of their papers we have counts for
9 papers · 1 filter
Lattice non-invertible symmetry from non-commuting transfer matrices
Eric Vernier, Yuan Miao, Masahito Yamazaki
Conventional quantum integrability is encoded in a commuting algebra of transfer matrices. By contrast, several models possess additional non-commuting conserved charges with impor…
Norms, overlaps and Yangian descendants for the Haldane-Shastry spin chain
Yunfeng Jiang, Jules Lamers, Yuan Miao
The Haldane-Shastry spin chain is a prototypical integrable model with long-range interactions, notable for hosting quasiparticles with fractional statistics and serving as a discr…
Integrable Quantum Circuits from the Star-Triangle Relation
Yuan Miao, Eric Vernier
The star-triangle relation plays an important role in the realm of exactly solvable models, offering exact results for classical two-dimensional statistical mechanical models. In t…
Conjectures on Hidden Onsager Algebra Symmetries in Interacting Quantum Lattice Models
Yuan Miao
We conjecture the existence of hidden Onsager algebra symmetries in two interacting quantum integrable lattice models, i.e. spin-1/2 XXZ model and spin-1 Zamolodchikov-Fateev model…
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…
An exact solution to asymptotic Bethe equation
Yuan Miao
We present an exact solution to the asymptotic Bethe equation of weakly anisotropic Heisenberg spin chain, which is a set of non-linear algebraic equations. The solution describes…
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…
Macroscopic Quantum Tunnelling in Rotating Bose-Einstein Condensates
Yuan-Xiu Miao, Hui Zhai, Hong-Yu Yang +1
In this paper we investigate the macroscopic quantum tunnelling and the phase coherence property of the rotating Bose-Einstein condensates in both static and dynamic cases by using…