  Quantum coherence will undoubtedly play a fundamental role in understanding
the dynamics of quantum many-body systems, thereby to reveal its genuine
contribution is of great importance. In this paper, we specialize our
discussions on the one-dimensional transverse field quantum Ising model
initialized in the coherent Gibbs state, and investigate the effects of quantum
coherence on dynamical phase transition (DQPT). After quenching the strength of
the transverse field, the effects of quantum coherence are studied by Fisher
zeros, rate function and winding number. We find that quantum coherence not
only recovers the traditional DQPT related to quantum phase transition, but
also generates some entirely new DQPTs which are independent of equilibrium
quantum critical point. In these entirely new QDPTs, the line of Fisher zeros
cuts the imaginary axis twice, i.e., there are two critical modes, one makes
the winding number jump down but another makes it jump up. We also find that
the rate function can not be used to describe DQPT at high temperature, because
the critical mode no longer dominates. This work sheds new light on the
fundamental connection between quantum critical phenomena and quantum
coherence.
