  Driven tunneling between graphene Landau levels is theoretically linked to
the process of pair creation from vacuum, a prediction of quantum
electrodynamics (QED). Landau levels are created by the presence of a strong,
constant, quantizing magnetic field perpendicular to a graphene mono-layer.
Following the formal analogy between QED and the description of low-energy
excitations in graphene, solutions of the fully interacting Dirac equation are
used to compute electron-hole pair creation driven by a circularly or linearly
polarized field. This is achieved via the coupled channel method, a numerical
scheme for the solution of the time-dependent Dirac equation in the presence of
bound states. The case of a monochromatic driving field is first considered,
followed by the more realistic case of a pulsed excitation. We show that the
pulse duration yields an experimental control parameter over the maximal pair
yield. Orders of magnitude of the pair yield are given for experimentally
achievable magnetic fields and laser intensities weak enough to preserve the
Landau level structure.
