ABSTRACT

The invention of lasers in the early sixties triggered the development

of the rich field of nonlinear optics. Similarly, the development of

lasers with ultrahigh intensities, that is, when the light electric

field is larger than the attraction between electrons and nuclei,

has boosted extreme nonlinear optics to a relevant and promising

discipline in physics. Besides its technological potentialities, strong

field physics is also challenging at a fundamental level, leading to the

reconsideration of the basic processes of light-matter interactions.

Also, the complexity of the exact solutions of the nonperturbative

equations has encouraged the development of simple approaches

based in semiclassical concepts that offer invaluable insight into the

basic processes involved. In this sense, Bohmian trajectories offer

an interesting extension of the semiclassical treatment, since their

description is purely quantum and , yet, they retain the intuitiveness

of a classical description. In this chapter we study the interaction

of a hydrogen atom with short and intense laser pulses. By first

using a simplified one-dimensional model, we show how Bohmian

trajectories can be used in the calculation of the above-threshold

ionization (ATI) and harmonic generation spectra. We also present

a full three-dimensional (3D) model to study the interaction of an

atom with beams bearing orbital angular momentum (OAM) and

use the trajectories to gain physical insight into the absorption of

angular momentum.