Decay dynamics of a time-periodic quantum system

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Abstract
The authors study the time evolution of an initially bound state in an oscillating potential. The observed dissociation or above-threshold ionization (ATI) is discussed in context of previous studies on quasi-energy resonances. The results obtained there by a complex scaling method agree in the long-time limit with those resulting from the present wave propagation calculations. In particular the decay rate of the initial state is equal to the total width of the corresponding resonance state. The ATI peaks show Lorentzian profiles and their relative heights are given by the partial widths of the resonance. They also examine the short time behaviour of the system, and give an explanation for the occurrence of side peaks around the central ATI peaks.