Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation
Quantum Physics
2024-08-08 v1 Mesoscale and Nanoscale Physics
Quantum Gases
Abstract
Quantum dynamics of a particle confined in a box with time-dependent wall is revisited by considering some unexplored aspects of the problem. In particular, the case of dynamical confinement in a time-dependent box in the presence of purely time-varying external potential is treated by obtaining exact solution. Also, some external potentials approving separation of space and time variables in the Schrodinger equation with time-dependent boundary conditions are classified. Time-dependence of the average kinetic energy and average quantum force are analyzed. A model for optical high harmonic generation in the presence of dynamical confinement and external linearly polarized monochromatic field is proposed.
Cite
@article{arxiv.2309.15389,
title = {Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation},
author = {S. Rakhmanov and C. Trunk and D. Matrasulov},
journal= {arXiv preprint arXiv:2309.15389},
year = {2024}
}