Quantum Poincare Recurrences for Hydrogen Atom in a Microwave Field
Condensed Matter
2009-10-31 v1 chao-dyn
Chaotic Dynamics
Abstract
We study the time dependence of the ionization probability of Rydberg atoms driven by a microwave field, both in classical and in quantum mechanics. The quantum survival probability follows the classical one up to the Heisenberg time and then decays algebraically as P(t) ~ 1/t. This decay law derives from the exponentially long times required to escape from some region of the phase space, due to tunneling and localization effects. We also provide parameter values which should allow to observe such decay in laboratory experiments.
Cite
@article{arxiv.cond-mat/9911200,
title = {Quantum Poincare Recurrences for Hydrogen Atom in a Microwave Field},
author = {Giuliano Benenti and Giulio Casati and Giulio Maspero and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9911200},
year = {2009}
}
Comments
revtex, 4 pages, 4 figures