Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators

Dynamical quantum phase transitions (DQPTs) are topologically characterized in quench dynamics topological systems. In this paper, we study Loschmidt amplitudes and DQPTs quenches mirror-symmetric phases. Based on the classification of insulators, show that mirror symmetry creates symmetry-protected DQPTs. If is present, robust can occur quenches, even high-dimensional time-reversal invariant Then, also two-dimensional chiral-symmetric systems with symmetry. Mirror-symmetry-protected be easily captured by a reduced rate function. Moreover, introduce dynamical order parameters for mirror-symmetry-protected Finally, demonstrate using lattice models crystalline insulator higher-order insulator.