Abstract: We study driven-dissipative dynamics of a network of spin-1/2 systems coupled to chiral 1D bosonic waveguides [1,2]. By chiral coupling we mean an asymmetric coupling of the spin decay to the left and right propagating guided modes. Remarkably, this non-equilibrium dynamics has steady states in form of quantum dimers, or entangled spin-clusters, which form as pure dark states of the dissipative dynamics. We discuss possible photonic realizations with atoms coupled to nanofibers, or a phononic version with mixtures of quantum gases involving spin-orbit coupling. We conclude with a brief overview of recent proposlas to realize models of frustrated quantum magnetism with Rydberg atoms in optical lattices .
 H Pichler, T Ramos, AJ Daley, P Zoller, Quantum Optics of Chiral Spin Networks, arXiv:1411.2963
 T Ramos, H Pichler, AJ Daley, P Zoller, Quantum Spin-Dimers from Chiral Dissipation in Cold Atom Chains,, arXiv:1408.4357; Phys. Rev. Lett. in print
 A W Glaetzle, M Dalmonte, R Nath, C Gross, I Bloch, P Zoller, Frustrated Quantum Magnetism with Laser-Dressed Rydberg Atoms, arXiv:1410.3388