Nonequilibrium spin glass state in optical systems with coherence

We show that in a system of randomly distributed optically active atoms with quantum coherence, a nonequilibrium dipole spin glass state can be realized due to resonant dipole-dipole interactions. The proposed nonequilibrium spin glass state corresponds to the noncoherent steady state oscillations of the dipole moments of the atoms. We argue that such a situation can be achieved in a steady state for three level A systems showing the vanishing imaginary part of the polarizability near the resonance frequency. The critical concentration of the spin glass transition is estimated with the use of local mean field equations and computer simulations applied to dipole-dipole interactions.