This article is cited in 12 papers

NONLINEAR DYNAMICS

Interaction of nonlinear resonances in cavity QED

S. V. Prants

V. I. Il'ichev Pacific Oceanological Institute, Far Eastern Branch of RAS, Vladivostok

Abstract: Strong coupling of the internal and external degrees of freedom of a cold atom to each other and to the spatially periodic field of the standing light wave in a high-finesse cavity is responsible for the dynamic instability of the atomic center-of-mass motion. Due to a weak interaction of the internal nonlinear resonances in the standard model of cavity QED, a stochastic layer appears, whose width in the semiclassical approximation is estimated in terms of the main parameters of the system: atomic recoil frequency, mean number of excitations, and detuning from the resonance. As a result, the atomic motion in the absolutely regular potential has the fractal character, with long Lévy flights alternating with small chaotic oscillations in potential wells.

PACS: 05.45.Mt, 42.50.Vk

Received: 13.12.2001

 English version: Journal of Experimental and Theoretical Physics Letters, 2002, 75:2, 63–65

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