A phase transition indicates a sudden change in the properties of a large system. For temperature driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the free energy density in one phase is insufficient to predict the properties of the other phase. It has been shown that a close analogue of this behavior can occur in the real time evolution of quantum systems, namely non-analytic behavior at a critical time, which is called dynamical quantum phase transition. Specifically, it has been shown that the equilibrium quantum phase transition and the dynamical quantum phase transition are intimately related.
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