  We have performed calculations of attosecond laser-atom interactions for
laser intensities where interesting two and three photon effects become
relevant. In particular, we examine the case of "hole burning" in the initial
orbital. Hole burning is present when the laser pulse duration is shorter than
the classical radial period because the electron preferentially absorbs the
photon near the nucleus. We also examine how 3 photon Raman process can lead to
a time delay in the outgoing electron for the energy near one photon
absorption. For excitation out of the hydrogen $2s$ state, an intensity of
$2.2\times 10^{16}$ W/cm$^2$ leads to a 6 attosecond delay of the outgoing
electron. We argue that this delay is due to the hole burning in the initial
state.
