Quantum Poincare Recurrences for Hydrogen Atom in a Microwave Field

Details Quantum Poincare Recurrences for Hydrogen Atom in a Microwave Field Quantum Poincare Recurrences for Hydrogen Atom in a Microwave Field

1999-11-12

arxiv.org/abs/cond-mat/9911200v1

Phys. Rev. Lett. 84, 4088 (2000)

Physics

Condensed Matter

revtex, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.84.4088

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.

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