  Exceptional points (EPs) are ubiquitous in non-hermitian systems, and
represent the complex counterpart of critical points. By driving a system
through a critical point at finite rate induces defects, described by the
Kibble-Zurek mechanism, which finds applications in diverse fields of physics.
Here we generalize this to a ramp across an EP. We find that adiabatic time
evolution brings the system into an eigenstate of the final non-hermitian
Hamiltonian and demonstrate that for a variety of drives through an EP, the
defect density scales as $\tau^{-(d+z)\nu/(z\nu+1)}$ in terms of the usual
critical exponents and $1/\tau$ the speed of the drive. Defect production is
suppressed compared to the conventional hermitian case as the defect state can
decay back to the ground state close to the EP. We provide a physical picture
for the studied dynamics through a mapping onto a Lindblad master equation with
an additionally imposed continuous measurement.
