The application of femtosecond pump-probe photoelectron spectroscopy to directly observe vibrational wave packets passing through an avoided crossing is investigated using quantum wave packet dynamics calculations. Transfer of the vibrational wave packet between diabatic electronic surfaces, bifurcation of the wave packet, and wave packet construction via nonadiabatic mixing are shown to be observable as time-dependent splittings of peaks in the photoelectron spectra. DOI: 10.1103/PhysRevLett.90.248303 PACS numbers: 82.20.Gk, 33.60.-q, 82.53.Eb, 82.53.Kp The concept of nonadiabatic transitions is fundamental to an understanding of chemical phenomena [1,2]. A typical example, and the one of interest here, is intramolecular electron transfer induced by vibrational motion in the excited state of alkali halides such as the NaI molecule. Pump-probe studies of this system have demonstrated the decrease of wave packet population on the excited adiabatic surface due to dissociation at the avoided crossing [3,4]. Oscillations in the population of the dissociative products (Na and I) due to the interference of wave packets on the covalent and ionic potentials merging at the avoided crossing have also been observed [3]. Although bifurcation of wave packets must be invoked to explain these observations, no real-time evidence of the instance of wave packet bifurcation has yet been experimentally observed. Such direct observation, if possible, would be interesting in itself, but also quite significant to studies of electron transfer, wave packet engineering, and reaction control through wave packet splitting and mixing. Also, from the perspective of quantum measurement, wave packet bifurcation corresponding to an intramolecular double-slit experiment will shed light on the evolution of quantum entanglement between electronic and nuclear motion [5]. Bifurcation and merging of wave packets are important as an intrinsic mechanism of ''quantum chaos,'' which has no simple classical counterpart [6 -8].Pump-probe photoelectron spectroscopy has been demonstrated to be a powerful means to monitor real-time reaction dynamics [9][10][11][12][13][14]. We here show theoretically that the method permits real-time observations of a wave packet passing through an avoided crossing, using excited-state dynamics of NaI as an example.The pump-probe spectroscopy of NaI has been studied extensively [3,4,[15][16][17][18][19][20][21]. Figure 1 depicts the pump-probe scheme and the relevant potential curves for femtosecond photoelectron spectroscopy of the excited-state wave packet dynamics. The adiabatic excited state features an extended well whose character changes from covalent at shorter distances to ionic at larger distances due to an avoided crossing with the ground state at 7 A [22,23]. In the diabatic representation, the same system is viewed as an ionic curve (here called V 1 ) intersecting a covalent curve (V 2 ), with an associated nonadiabatic interaction (V 12 ). The diabatic curves are shown in Fig. 1.The excited-state wave packet...