Dynamical Singularities of Glassy Systems in a Quantum Quench
  We present a prototype of behavior of glassy systems driven by quantum dynamics in a quenching protocol by analyzing the random energy model in a transverse field. We calculate several types of dynamical quantum amplitude and find a freezing transition at some critical time. The behavior is understood by the partition-function zeros in the complex temperature plane. We discuss the properties of the freezing phase as a dynamical chaotic phase, which are contrasted to those of the spin-glass phase in the static system. 
Tomoyuki Obuchi and Kazutaka Takahashi
cond-mat.stat-mech cond-mat.dis-nn quant-ph