Gaussian-Type Orbital Calculations for High Harmonic Generation in Vibrating Molecules: Benchmarks for H.

The response of the hydrogen molecular ion, H, to few-cycle laser pulses of different intensities is simulated. To treat the coupled electron-nuclear motion, we use adiabatic potentials computed with Gaussian-type basis sets together with a heuristic ionization model for the electron and a grid representation for the nuclei. Using this mixed-basis approach, the time-dependent Schrödinger equation is solved, either within the Born-Oppenheimer approximation or with nonadiabatic couplings included.

State-selective vibrational excitation and dissociation of H2+ by strong infrared laser pulses: below-resonant versus resonant laser fields and electron-field following.

The quantum dynamics of vibrational excitation and dissociation of H(2)(+) by strong and temporally shaped infrared (IR) laser pulses has been studied on the femtosecond (fs) time scale by numerical solution of the time-dependent Schrödinger equation with explicit treatment of nuclear and electron motion beyond the Born-Oppenheimer approximation. Using sin(2)-shaped laser pulses of 120 fs duration with a peak intensity of I(0) > 10(14) W/cm(2), it has been found that below-resonant vibrational excitation with a laser carrier frequency of ω < ω(10)/2 (where ω(10) is the frequency of the |v = 0> → |v = 1> vibrational transition) is much more efficient than a quasi-resonant vibrational excitation at ω ≈ ω(10). In particular, at the below-resonant laser carrier frequency ω = 0.

Long-range energy transfer and ionization in extended quantum systems driven by ultrashort spatially shaped laser pulses.

The processes of ionization and energy transfer in a quantum system composed of two distant H atoms with an initial internuclear separation of 100 atomic units (5.29 nm) have been studied by the numerical solution of the time-dependent Schrödinger equation beyond the Born-Oppenheimer approximation. Thereby it has been assumed that only one of the two H atoms was excited by temporally and spatially shaped laser pulses at various laser carrier frequencies.