Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2000-02-10
Nonlinear Sciences
Chaotic Dynamics
6 pages, 3 Postscript figures, Europhysics Letter (in press)
Scientific paper
10.1209/epl/i2000-00345-2
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.
Glueck M.
Kolovsky Andrey R.
Korsch Hans Jürgen
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