We report the observation of a sharp band-edge response in spectrally resolved differential reflectivity experiments on GaMnAs, in contrast to linear optical experiments in which large band-tail effects are known to dominate. The differential reflectivity response exhibits a blue shift relative to results in GaAs and LT-GaAs, consistent with the valence-band model of ferromagnetism. Our results demonstrate the utility of nonlinear optical techniques for studying the electronic structure of III-Mn-V diluted magnetic semiconductors.Diluted magnetic semiconductors (DMSs), which result from doping traditional semiconductors with magnetic impurities, have been the subject of an intensive research effort in recent years due to their potential for applications in spin-sensitive electronics, 1-3 photonics, 4-6 and opticallyaddressable nonvolatile memory. 7-9 This potential stems from the hole-mediated nature of the ferromagnetic coupling between the local magnetic impurities, which permits external control of magnetic characteristics using electrical gates or optical excitation. 10-13 GaMnAs has become the prototype DMS system, representing a model for understanding the nature of ferromagnetic coupling in the III-Mn-V DMS as well as for engineering the magnetic characteristics through tailored growth and processing. 14-16 A considerable body of research spanning the past decade has provided insight into the nature of exchange coupling between the Mn and hole spins, 17-21 the character of the magnetic anisotropy, 22-25 and the role of defects and compensation in determining the magnetic characteristics. 14,16,26,27 Despite these advances, unanswered questions remain with regard to the electronic structure and the appropriate model of ferromagnetic coupling. An active debate in the recent literature has focused on the position of the Fermi level, in particular whether the holes that mediate ferromagnetic coupling between the local Mn moments exist in the GaAs valence band or in a detached impurity band. 16,18,20,21,[27][28][29][30][31] As the physical mechanism of ferromagnetic coupling differs in the two limits, determining the correct picture is of central importance. Considerable input into the debate has been provided through recent experiments, with evidence supporting both points of view. [16][17][18][19][20][21]27,29 Nonlinear optical spectroscopy provides an alternative approach to investigating the position of the Fermi level in GaMnAs. In pump-probe spectroscopy, a femtosecond optical pulse (pump pulse) is used to excite electron-hole pairs in the semiconductor. These carriers modify the optical response of a subsequent, weaker pulse (probe pulse), providing a way to detect the presence of the pump-injected carriers. If the Fermi level in GaMnAs exists in the valence band, one expects to observe a blue shift in the band-edge optical response relative to undoped GaAs (the so-called Moss-Burstein shift) 32 since states that are full prior to the arrival of the pump pulse cannot lead to a signal. Alternatively, if t...