Exotic signature of dynamical quantum phase transition in the time evolution of an engineered initial state

@article{Bhattacharyya2020ExoticSO,
  title={Exotic signature of dynamical quantum phase transition in the time evolution of an engineered initial state},
  author={Sirshendu Bhattacharyya and Subinay Dasgupta},
  journal={Journal of Physics A},
  year={2020},
  volume={53},
  pages={265002}
}
Dynamical phase transition in quantum many body systems is usually studied by taking it in the ground state and then quenching a parameter to a new value. We investigate here the dynamics when one performs the time evolution of a generic state and observe that the rate function related to the Loschmidt echo shows non-analytic behavior of two types, one related, and the other unrelated, to the appearance of a quantum phase transition. Specifically, we consider a quantum Ising chain in an initial… 
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