  We investigate temperature reservoir effects in a lossy Kerr nonlinear
resonator considering selective excitation of ooscillatory mode driven by a
sequence of Gaussian pulses. In this way, we analyze time-dependent populations
of photon-number states and quantum statistics on the base of second-order
photon correlation function in one-photon and two-photon transitions. The
effects coming from thermal reservoirs are interesting for performing more
realistic approach to generate Fock states and for study phenomena connecting
quantum engineering and temperature. We also study the role of pulse-shaping
effects during selective excitation.
