  We investigate the influence of non-Hermiticity on the adiabatic elimination
in coupled waveguides. We show that adiabatic elimination is not affected when
the system is in parity-time symmetric phase. However, in the broken phase the
eliminated waveguide loses its darkness namely its amplitude starts increasing,
which means adiabatic elimination does not hold in the broken phase. Our
results can advance the control of the dynamics in coupled laser cavities, and
help the design of controllable absorbers.
