  Real-time evolution and charge pumping in magnetic Weyl semimetals are
studied by solving the time-dependent Schr\"{o}dinger equations. In the
adiabatic limit of the real-time evolution, we show that the total pumped
charge is quantized in the magnetic Weyl semimetals as in the quantum Hall
system although the Weyl semimetal has no bulk gap. We examine how the disorder
affects the charge pumping. As a result, we show that the quantized pumped
charge is robust against the small disorder and find that the pumped charge
increases in the intermediate disorder region. We also examine the doping
effects on the charge pumping and show that the remnant of the quantized pumped
charge at zero doping can be detected. Our results show that the real-time
evolution is a useful technique for detecting the topological properties of the
systems with no bulk gap and/or disorders.
