Speaker
Prof.
Tomaz Prosen
(Department of Physics, University of Ljubljana)
Description
An exact and explicit ladder-tensor-network ansatz is
presented for nonequilibrium steady state of an anisotropic
Heisenberg XXZ spin-1/2 chain which is driven far from
equilibrium with a pair of Lindblad operators acting on the
edges of the chain only. We show that the steady-state
density operator of a finite system of size $n$ is -- apart
from a normalization constant -- a polynomial of degree 2n-2
in the coupling constant. Efficient computation of physical
observables is facilitated in terms of a transfer-operator
reminiscent of a classical Markov process. In the isotropic
case we find cosine spin profiles, 1/n^2 scaling of the spin
current, and long-range correlations in the steady state.
Primary author
Prof.
Tomaz Prosen
(Department of Physics, University of Ljubljana)
