We have investigated higher order multiphoton Raman resonances with two pul
sed optical frequencies. Multiphoton transfer with up to 50 photons is obse
rved with milliwatts of laser power. We demonstrate that the spectral width
of the multiphoton resonances can be far below the Fourier transform linew
idth of the driving optical pulses. The functional dependence of the transi
tion linewidth on the number of exchanged photons is found to vary with the
pulse shape. Our experiment is performed with laser-cooled rubidium atoms
confined in a CO2-laser optical dipole trap.