Path-integral approach of ionization by ultrashort laser pulses

摘要

In the present paper, we model in a fully quantum-mechanical way the dynamics of an atom with one active electron interacting with a coherent linearly polarized ultrashort photonic pulse. We use path-integral methods. We derive the system's propagator in its discrete form and develop a Monte Carlo method to study its dynamics. To avoid any additional complication, we apply our method to the ionization of atomic hydrogen from its ground state supposing that the photon energy is greater than the ionization threshold and give the ionization probability. In fact, the present method can be applied to the ionization of any atom or molecule.