Attoscience in Phase Space

Abstract

We provide a brief review of how phase-space techniques are explored within strongfield and attosecond science. This includes a broad overview of the existing landscape, with focus on strong-field ionisation and rescattering, high-order harmonic generation, stabilization and freeelectron lasers. Furthermore, using our work on on the subject, which deals with ionisation dynamics in atoms and diatomic molecules as well as high-order harmonic generation in inhomogeneous fields, we exemplify how such tools can be used. One may for instance determine qualitatively different phase-space dynamics, explore how bifurcations influence ionisation and high-harmonic generation, establish for which regimes classical and quantum correspondence works or fails, and what role different time scales play. Finally, we conclude the review highlighting the importance of the tools available in quantum optics and quantum information to strong-field laser-matter interaction.