Speaker
Yuan Miao
(Institute for Theoretical Physics, University of Amsterdam)
Description
We have studied the complete spectrum of spin-1/2 XXZ chain at root of unity, i.e. a paradigmatic model of quantum integrability. Making use of transfer matrix fusion relation, we constructed a family of 2-parameter transfer matrices, which help us obtain all the eigenstates in terms of Bethe roots. This elucidates a long-standing problem dated from the debate between McCoy and Baxter. We also exemplify the applications in the thermodynamic limit, which explains the rôle of quasi-local Z charge in the presence of quantum quenches and generalised hydrodynamics.
