Nonadiabatic dynamics in non-Hermitian quantum systems from the quantum metric perspective

The authors generalize here the quantum metric framework to the \ensuremath{\mathcal{P}}\ensuremath{\mathcal{T}} broken region, and investigate the nonadiabatic dynamics in non-Hermitian quantum systems. The authors demonstrate that the long-time average of the rate function can be used to characterize the \ensuremath{\mathcal{P}}\ensuremath{\mathcal{T}} phase transitions. They also find that this framework can remove the accidental dynamical quantum phase transitions, and thus build a bridge between dynamical and equilibrium quantum phase transitions.