  We study the dissipative stabilization of entangled states in arrays of
quantum systems. Specifically, we are interested in the states of qubits
(spin-1/2) which may or may not interact with one or more cavities (bosonic
modes). In all cases only one element, either a cavity or a qubit, is lossy and
irreversibly coupled to a reservoir. When the lossy element is a cavity, we
consider a squeezed reservoir and only interactions which conserve the number
of cavity excitations. Instead, when the lossy element is a qubit, pure decay
and a properly selected structure of XY-interactions are taken into account. We
show that in all cases, in the steady state, many pairs of distant,
non-directly interacting qubits, which cover the whole array, can get entangled
in a stationary way, by means of the interplay of dissipation and local
interactions.
