Generalized multistability and chaos in quantum optics

Year: 1984

Authors: Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy
Department of Physics, University of Firenze, 50125 Firenze, Italy

Abstract: Three experimental situations for CO$_{2}$ lasers (a laser with modulated losses, a ring laser with competition between forward and backward waves, and a laser with injected signal) are analysed as examples of the onset of chaos in systems with a homogeneous gain line and with a particular timescale imposed by the values of the relaxation constants. We stress the coexistence of several basins of attraction (generalized multistability) and their coupling by external noise. This coupling induces a low-frequency branch in the power spectrum. Comparison is made between the spectra of noise-induced jumps over independent attractors and the spectrum of deterministic diffusion within subregions of the same attractor. At the borderline between the two classes of phenomena a scaling law holds, relating the control parameter and the external noise in their effect on the mean escape time from a given stability region.

Journal/Review: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Volume: 313      Pages from: 307  to: 319

KeyWords: chaos
DOI: 10.1098/rsta.1984.0111

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