Decoherence factor in quantum phase transition

As a fundamental quantity in quantum dynamics, decoherence factor reflects the influence on the system brought by the environment. In this work, we mainly investigate the dynamical behavior of decoherence factor in the quantum phase transition progresses, from the perspective of its phase information, amplitude information, real part information, and imaginary part information. Through two significant models, we show that most of these quantities can act as a witness of quantum phase transition phenomena and correctly reveal the locations of the critical points.