The two-photon transition 6S(1/2) --> 6D(5/2) is investigated for trap
ped atomic cesium excited by squeezed light. The rate R of two-photon
excitation versus intensity I is observed to be consistent with the fu
nctional form R = beta(1)I + beta(2)I(2), extending into a region with
slope 1.3. This departure from the quadratic form for classical light
sources is due to the fundamental alteration of atomic radiative proc
esses by the nonclassical field.