Driven Heisenberg spin chain with arbitrary boundary twisting angle: Exact results

by Dragi Karevski (Nancy, France)

Monday 28 Apr 2014, 15:00 → 16:00 Europe/Rome

248 (Building C, first floor)

We consider an open Heisenberg quantum spin chain, coupled at the ends to boundary reservoirs polarized in different directions, which sets up a twisting gradient across the chain. We demonstrate that the exact nonequilibrium steady state of the chain driven by boundary Lindblad operators can be constructed explicitly with a matrix product ansatz where the matrices satisfy the quantum algebra Uq[SU(2)]. Using this matrix product ansatz in the isotropic case, we calculate explicitly the magnetization profiles and magnetization currents.