2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170278Using quantization in the Fock space of operators we compute the non-equilibrium steady state in an open Heisenberg XY spin 1/2 chain of finite but large size coupled to Markovian baths at its ends. Numerical and theoretical evidence is given for a far from equilibrium quantum phase transition with spontaneous emergence of long-range order in spin-spin correlation functions, characterized by a transition from saturation to linear growth with the size of the entanglement entropy in operator space.4 pages (in RevTex) with 5 figures - essentially identical with a published versionQuantum PhysicsStatistical Mechanicstext