  In recent years it has been found that quantum systems can posses
entanglement in equilibrium thermal states provided temperature is low enough.
In the present work we explore a possibility of having entanglement in
nonequilibrium stationary states. We show analytically that, in a simple
one-dimensional spin chain, there is entanglement even at highest attainable
energies; that is, starting from an equilibrium state at infinite temperature,
a sufficiently strong driving can induce entanglement, even in the
thermodynamic limit. We also show that dissipative dephasing, on the other
hand, destroys entanglement.
