Dynamical phase transition (DPT) characterizes the abrupt change of dynamical properties in nonequilibrium quantum many-body systems. It has been demonstrated that extra fluctuating modes besides conventional order parameter field can drastically equilibrium transitions. However, counterpart phenomena DPTs have rarely explored. Here, we study DPT Dirac system after a sudden quench, and find fer...

<p style='text-indent:20px;'>We propose and study a one-dimensional <inline-formula><tex-math id="M1">\begin{document}$ 2\times 2 $\end{document}</tex-math></inline-formula> hyperbolic Eulerian system with local relaxation from critical threshold phenomena perspective. The features dynamic transition between strictly weakly hyperbolic. For different classes of we i...