Hole-burning experiments within glassy models with infinite range interactions

We reproduce the results of nonresonant spectral hole-burning experiments with glassy models with infinite-range interactions that generalize the mode-coupling approach to nonequilibrium situations. We show that an ac field modifies the integrated linear response and the correlation in a way that depends on the amplitude and frequency of the pumping field. We study the effect of the waiting and recovery times and the number of oscillations applied. This calculation will help discriminate which results can and which cannot be attributed to spatial heterogeneities in real systems.

From second to first order transitions in a disordered quantum magnet

We study the spin-glass transition in a disordered quantum model. In a region of the phase diagram quantum effects are small and the phase transition is second order, as in the classical case. In another region, quantum fluctuations drive the transition to first order. Across the first order line the susceptibility is discontinuous and shows hysteresis. Our findings qualitatively reproduce observations on LiHoxY1-xF4. We also discuss a marginally stable spin-glass state and derive some results previously obtained from the real-time dynamics of the model coupled to a bath.