Nonlinear dynamical effects with a cold two-level atom in an optical lattice

V. Yu Argonov; S. V. Prants

doi:10.1117/12.675008

9 June 2006 Nonlinear dynamical effects with a cold two-level atom in an optical lattice

V. Yu Argonov, S. V. Prants

Proceedings Volume 6181, Photon Echo and Coherent Spectroscopy 2005; 618106 (2006) https://doi.org/10.1117/12.675008
Event: Photon Echo and Coherent Spectroscopy 2005, 2005, Kaliningrad, Russian Federation

Abstract

We treat semiclassical nonlinear dynamics of a two-level atom in the strong standing-wave field created in a high-quality cavity and in a free space with the help of two counterpropagating laser beams. First of all, we consider the dynamics of the strongly coupled atom-field system in an ideal cavity without any losses and discuss briefly nonlinear dynamical effects of random walking of an atom in a fully deterministic standing wave and Hamiltonian dynamical fractals. Then we study how these effects change in a free space when we take into account relaxation and external pumping of the standing wave. We discuss briefly new dissipative effects of synchronization between electronic and mechanical degrees of freedom of atoms, limit cycles of different periods and their bifurcations, and strange atomic attractors. Finally, we treat spontaneous relaxation as a random events in the equations of motion and study what happens with atomic fractality and limit cycles. It is shown that a self-similar structure of the scattering function (at least, on a few first levels) is conserved in the presence of spontaneous jumps. As to limit cycles, we could not resolve limit cycles of different period, but the fact of synchronization of internal and external atomic degrees of freedom is strictly established in the system with spontaneous jumps.

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V. Yu Argonov and S. V. Prants "Nonlinear dynamical effects with a cold two-level atom in an optical lattice", Proc. SPIE 6181, Photon Echo and Coherent Spectroscopy 2005, 618106 (9 June 2006); https://doi.org/10.1117/12.675008

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KEYWORDS

Chemical species

Fractal analysis

Photons

Chaos

Free space

Nonlinear dynamics

Nonlinear optics

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