  The density of electron-hole pairs produced in a graphene sample immersed in
a homogeneous time-dependent electrical field is evaluated. Because low energy
charge carriers in graphene are described by relativistic quantum mechanics,
the calculation is performed within the strong field quantum electrodynamics
formalism, requiring a solution of the Dirac equation in momentum space. The
latter is solved using a split-operator numerical scheme on parallel computers,
allowing for the investigation of several field configurations. The strength of
the method is illustrated by computing the electron momentum density generated
from a realistic laser pulse model. We observe quantum interference patterns
reminiscent of Landau-Zener-St\"{u}ckelberg interferometry.
