  The effects of control fields on the energy spectra and the number of created
pairs and the information transmission by the Dirac vacuum modes are
investigated by employing computational quantum field theory approach. It is
found that the oscillation structures on the energy spectra are sensitive to
the direction, the width, and the oscillation frequency of control fields. The
pair yield can have obvious changes for a small frequency and a very large
frequency. Moreover, the information encoded in the control fields, such as the
field direction, the laser frequency and the time interval between two laser
pulses, can also embodied by the vacuum modes in the change of pair-creation
rate with time. These results not only can deepen our understanding of the
control of pair creation and the information transmission, but also can provide
a theoretical reference to the related experiments in the future.
