Abstract
The motion of the probability density of the harmonic and anharmonic quantum oscillators under IR-multiphoton excitation with a classical laser field is studied both by means of exact solutions and in the quasiresonant and Floquet approximations. The validity of the quasiresonant approximation has been studied for the first time in an infinite level problem (harmonic oscillator) without truncation. Different régimes of quasiclassical motion of the harmonic and anharmonic oscillator and nonclassical spreading of the probability density with regular and irregular dynamics are identified.
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