Investigations of ultrafast nuclear response induced by resonant and nonresonant laser pulses

We analyze the nonstationary vibrational states prepared by ultrashort lase r pulses interacting with a two electronic level molecular system. Fully qu antum mechanical expressions are derived for all the moments of the coordin ate and momentum operators for the vibrational density matrices associated with the ground and excited electronic states. The analysis presented here provides key information concerning the temperature and carrier frequency d ependence of the moments, and relates the moments to equilibrium absorption and dispersion line shapes in a manner analogous to the "transform methods " previously used to describe resonance Raman scattering. Particular attent ion is focused on the first two moments, for which simple analytical expres sions are obtained that are computationally easy to implement. The behavior of the first two moments with respect to various parameters such as the pu lse carrier (center) frequency, pulse width, mode frequency, electron-nucle ar coupling strength, and temperature is investigated in detail. Using rigo rous analytical formulas, we also discuss the laser pulse induced squeezing of the nuclear distributions as well as the pulse induced vibrational heat ing/cooling in the ground and excited states. The moment analysis of the pu mp induced state presented here offers a convenient starting point for the analysis of signals measured in pump-probe spectroscopy. The moment analysi s can also be used, in general, to better understand the material response following ultrashort laser pulse excitation. (C) 2001 American Institute of Physics.