Floquet analysis of the far-infrared dissociation of a Morse oscillator

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Abstract
The dynamics of a highly excited Morse oscillator in an intense laser field are examined using Floquet theory. Two classes of quasienergy states are found, broad states, which extend over a wide range of the Morse basis, and narrow states, which are localized to a small number of Morse states. A comparison to a quantum simulation of the dissociation dynamics via the fast-Fourier-transform grid method reveals that the projection of the initial oscillator state onto the broad states leads to dissociation, whereas the projection onto narrow states implies localization of the oscillator. The Floquet analysis explains a number of observations from the simulation including the slowdown of the dissociation rate and concomitant localization of the oscillator, the threshold dependence of dissociation on field intensity, and the variation in dissociation probability with field frequency and initial oscillator state.