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Quantum critical points are characterized by scale invariant correlations andcorrespondingly long ranged entanglement. As such, they present fascinatingexamples of quantum states of matter, the study of which has been an importanttheme in modern physics. Nevertheless very little is known about the fate ofquantum criticality under non equilibrium conditions. In this paper weinvestigate the effect of external noise sources on quantum critical points. Itis natural to expect that noise will have a similar effect to finitetemperature, destroying the subtle correlations underlying the quantum criticalbehavior. Surprisingly we find that in many interesting situations theubiquitous 1/f noise preserves the critical correlations. The emergent statesshow intriguing interplay of intrinsic quantum critical and external noisedriven fluctuations. We demonstrate this general phenomenon with specificexamples in solid state and ultracold atomic systems. Moreover our approachshows that genuine quantum phase transitions can exist even under nonequilibrium conditions.

Quantum critical states and phase transitions in the presence of non equilibrium noise