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It is known that the dynamics of two (Coulomb-interacting) nonrelativisticelectrons confined by a parabolic potential and driven by a classical, intenselaser field (in dipole approximation) is exactly soluble. We calculate thetime-dependent population of the harmonic oscillator states and the energyabsorbed from the laser. It turns out that the key entity on which allobservables sensitively depends is the modulus square of theFourier-transformed vector potential of the laser field, evaluated at theharmonic oscillator frequency. The system is transparent to laser fieldconfigurations for which this entity vanishes. We discuss the Poissonstatistics behavior of the transition probabilities and analyze the conditionsfor the complete survival and full depletion of the initial state.Comment: 8 pages, IOP styl

Harmonium in intense laser fields: excitation, absorption and transparency