# Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems

@inproceedings{Vanhala2022TheoryOT, title={Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems}, author={Tuomas I. Vanhala and Teemu Ojanen}, year={2022} }

In this work we develop the theory of the Loschmidt echo and dynamical phase transitions in non-interacting strongly disordered Fermi systems after a quench. In ﬁnite systems the Loschmidt echo displays zeros in the complex time plane that depend on the random potential realization. Remarkably, the zeros coalesce to form a 2D manifold in the thermodynamic limit, atypical for 1D systems, crossing the real axis at a sharply-deﬁned critical time. We show that this dynamical phase transition can be…

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