  We consider strongly interacting systems of effective spins, subject to
dissipative spin-flip processes associated with optical pumping. We predict the
existence of novel magnetic phases in the steady-state of this system, which
emerge due to the competition between coherent and dissipative processes.
Specifically, for strongly anisotropic spin-spin interactions, we find
ferromagnetic, antiferromagnetic, spin-density-wave, and staggered-XY steady
states, which are separated by nonequilibrium phase transitions meeting at a
Lifshitz point. These transitions are accompanied by quantum correlations,
resulting in spin squeezing. Experimental implementations in ultracold atoms
and trapped ions are discussed.
