  In this paper we evaluate the performance of two superadiabatic stimulated
Raman adiabatic passage (STIRAP) protocols derived from Gaussian and sin-cos
pulses, under dissipation and Ornstein-Uhlenbeck noise in the energy levels. We
find that for small amplitudes of Stokes and pump pulses, the population
transfer is mainly achieved directly through the counterdiabatic pulse, while
for large amplitudes the conventional STIRAP path dominates. This kind of
"hedging" leads to a remarkable robustness against dissipation in the lossy
intermediate state. For small pulse amplitudes and increasing noise correlation
time the performance is decreased, since the dominant counterdiabatic pulse is
affected more, while for large pulse amplitudes, where the STIRAP path
dominates, the efficiency is degraded more for intermediate correlation times
(compared to the pulse duration). For the Gaussian superadiabatic STIRAP
protocol we also investigate the effect of delay between pump and Stokes pulses
and find that under the presence of noise the performance is improved for
increasing delay. We conclude that the Gaussian protocol with suitably chosen
delay and the sin-cos protocol perform quite well even under severe noise
conditions. The present work is expected to have a broad spectrum of
applications, since STIRAP has a crucial role in modern quantum technology.
