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Mechanism of dynamical phase transitions: The complex-time survival amplitude

Mechanism of dynamical phase transitions: The complex-time survival amplitude

Dynamical phase transitions are defined through nonanalyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times. They ensue from zeros of the corresponding survival amplitude. By extending the time variable onto the complex domain, we formulate the complex-time survival amplitude. The complex zeros of this quantity …