Exact steady state manifold of a boundary driven spin1 LaiSutherland chain
Abstract
We present an explicit construction of a family of steady state density matrices for an open integrable spin1 chain with bilinear and biquadratic interactions, also known as the LaiSutherland model, driven far from equilibrium by means of two oppositely polarizing Markovian dissipation channels localized at the boundary. The steady state solution exhibits n+1 fold degeneracy, for a chain of length n, due to existence of (strong) Liouvillian U(1) symmetry. The latter can be exploited to introduce a chemical potential and define a grand canonical nonequilibrium steady state ensemble. The matrix product form of the solution entails an infinitelydimensional representation of a nontrivial Lie algebra (semidirect product of sl_{2} and a nonnilpotent radical) and hints to a novel YangBaxter integrability structure.
 Publication:

Nuclear Physics B
 Pub Date:
 May 2014
 DOI:
 10.1016/j.nuclphysb.2014.03.016
 arXiv:
 arXiv:1402.0342
 Bibcode:
 2014NuPhB.882..485I
 Keywords:

 Quantum Physics;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Strongly Correlated Electrons;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 20 pages