Abstract: Equilibrium thermal noise is known to destroy the scale invariance of quantum critical points, through the introduction of a finite thermal length. What are the effects of non-equilibrium time-dependent noise? In two recent papers[1-2] we have considered two specific cases relevant to experiments on low-dimensional quantum systems, by means of a novel analytic real-time RG approach. In this talk I will present these models and describe the RG results. In addition, I will explain how these results can be understood by simpler arguments based on circuit theory and fluctuation-dissipation relations. REFERENCES: [1] E.G. Dalla Torre, E. Demler, T. Giamarchi, E. Altman, ``Quantum critical states and phase transitions in the presence of non-equilibrium noise'', Nature Physics 6, 806 (2010) [2] E.G. Dalla Torre, et al. ``Dynamics and universality in noise driven dissipative systems'', arXiv: 1110.3678 (2011)