We demonstrate the possibility of quenching the effects of noisy laser
s by intense coherent fields. For this purpose, we study the spectrum
of resonance fluorescence from two-level atoms irradiated by bichromat
ic fields, where one field is coherent and the other stochastic. The s
pectrum is seen to be very sensitive to the frequencies of the two fie
lds. In particular, we find a dramatic narrowing of the Rabi sidebands
in the spectrum when the fluctuating field is tuned to the frequency
of the Rabi sideband in the spectrum. We interpret the results in a dr
essed-state representation, revealing that the atom is sensitive to th
e fluctuating field, only when that field can induce resonant transiti
ons between the dressed levels. Our calculation of the decay rates of
the dressed levels predicts a narrowing of the sidebands by a factor o
f 4, when the driving field is broadband, while at the same time the c
entral peak in the spectrum is broadened. Surprisingly, we find that t
here is the possibility of observing very narrow resonances even when
noisy lasers interact with the atom.