Tomoyuki Obuchi, Kazutaka Takahashi
We explore a typical behavior of glassy systems driven by quantum dynamics in a quenching protocol. Using the random energy model in a transverse field, we calculate several types of dynamical quantum amplitude. The result shows a freezing transition at some critical time, indicating the dynamical quantum phase transition. 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.
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http://arxiv.org/abs/1208.2800
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