Fractal stabilization of Wannier-Stark resonances
Abstract
The quasienergy spectrum of a Bloch electron affected by dc-ac fields is known to be a fractal function of the so-called electric matching ratio which is the ratio of the ac field frequency and the Bloch frequency. This paper studies a manifestation of the fractal spectrum in the system atom in a standing laser wave, which is a quantum optical realization of a Bloch electron. It is shown that for an appropriate choice of the system parameters the atomic survival probability (a quantity measured in laboratory experiments) develops a fractal structure as a function of the electric matching ratio. Numerical simulations under classically chaotic scattering conditions show good agreement with theoretical predictions based on random matrix theory.
Keywords
Cite
@article{arxiv.nlin/0002013,
title = {Fractal stabilization of Wannier-Stark resonances},
author = {M. Glueck and A. R. Kolovsky and H. J. Korsch},
journal= {arXiv preprint arXiv:nlin/0002013},
year = {2009}
}
Comments
6 pages, 3 Postscript figures, Europhysics Letter (in press)