  We study the driven-dissipative dynamics of a network of spin-1/2 systems
coupled to one or more chiral 1D bosonic waveguides within the framework of a
Markovian master equation. We determine how the interplay between a coherent
drive and collective decay processes can lead to the formation of pure
multipartite entangled steady states. The key ingredient for the emergence of
these many-body dark states is an asymmetric coupling of the spins to left and
right propagating guided modes. Such systems are motived by experimental
possibilities with internal states of atoms coupled to optical fibers, or
motional states of trapped atoms coupled to a spin-orbit coupled Bose-Einstein
condensate. We discuss the characterization of the emerging multipartite
entanglement in this system in terms of the Fisher information.
