Anti-Kibble-Zurek Behavior in Crossing the Quantum Critical Point of a   Thermally Isolated System Driven by a Noisy Control Field
  We show that a thermally isolated system driven across a quantum phase transition by a noisy control field exhibits anti-Kibble-Zurek behavior, whereby slower driving results in higher excitations. We characterize the density of excitations as a function of the ramping rate and the noise strength. The optimal driving time to minimize excitations is shown to scale as a universal power law of the noise strength. Our findings reveal the limitations of adiabatic protocols such as quantum annealing and demonstrate the universality of the optimal ramping rate. 
Anirban Dutta, Armin Rahmani, Adolfo del Campo
quant-ph cond-mat.other