Pulse excitation of quantum systems: specific features and general patterns

The features of pulse excitation of a quantum oscillator are investigated both without and with damping. Expressions are obtained for the duration and carrier frequency of exponential and double exponential pulses, which describe the main features of the process in weak and strong excitation modes. The boundaries of these modes are established in terms of the Rabi frequency for the time and spectral dependences of the excitation probability.